<?xml version="1.0" encoding="UTF-8"?>
<Worksheet>
<Version major="13" minor="2"/>
<Label-Scheme value="2" prefix=""/>
<View-Properties presentation="false"><Hide name="Table Borders"/></View-Properties>
<MapleNet-Properties elisiondigitsbefore="100" labelling="true" indentamount="4" elisiontermsthreshold="10000" ansi="false" errorbreak="1" useclientjvm="true" echo="1" imaginaryunit="I" labelwidth="20" plotdriver="openviz" elisiondigitsafter="100" plotoutput="terminal" rtablesize="10" elisiontermsbefore="100" elisiondigitsthreshold="10000" typesetting="standard" plotdevice="inline" verboseproc="1" showassumed="1" errorcursor="false" longdelim="true" plotoptions="" quiet="false" elisiontermsafter="100" screenwidth="79" preplot="" prettyprint="3" displayprecision="-1" warnlevel="3" screenheight="25" latexwidth="6.0" postplot="" prompt="&gt; " ShowLabels="true"/>
<Styles><Font name="Ordered List 1" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Annotation Text" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 2" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 3" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 4" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 5" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Author" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Annotation Title" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Warning" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Input Placeholder" background="[255,255,255]" bold="true" executable="true" family="Monospaced" foreground="[200,0,200]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="true"/>
<Font name="Maple Plot" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Code" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[255,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Line Printed Output" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Text Output" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Diagnostic" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[40,120,40]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Inert Output" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[144,144,144]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Normal" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Serif" foreground="[0,128,128]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Maple Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Dash Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Math" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Input" background="[255,255,255]" bold="true" executable="true" family="Monospaced" foreground="[255,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Input" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="HyperlinkError" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[255,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Header and Footer" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="10" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Error" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[255,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Title" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 1" background="[255,255,255]" bold="true" executable="false" family="Serif" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Text" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Bullet Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 4" background="[255,255,255]" bold="false" executable="false" family="Serif" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Equation Label" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 3" background="[255,255,255]" bold="true" executable="false" family="Serif" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="14" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 2" background="[255,255,255]" bold="true" executable="false" family="Serif" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="16" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="HyperlinkWarning" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Dictionary Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Serif" foreground="[147,0,15]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="List Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Layout name="Ordered List 1" alignment="left" bullet="numeric" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Ordered List 2" alignment="left" bullet="alphabetic" firstindent="0" leftmargin="36" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Ordered List 3" alignment="left" bullet="roman" firstindent="0" leftmargin="72" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Ordered List 4" alignment="left" bullet="ALPHABETIC" firstindent="0" leftmargin="108" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Ordered List 5" alignment="left" bullet="ROMAN" firstindent="0" leftmargin="144" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Author" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="8" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Warning" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Annotation Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Maple Plot" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Line Printed Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="any" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Text Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="newline" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Diagnostic" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="any" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Normal" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Maple Output" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.3" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Dash Item" alignment="left" bullet="dash" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="HyperlinkError" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Error" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 1" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="4" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Bullet Item" alignment="left" bullet="dot" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 4" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 3" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 2" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="2" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="HyperlinkWarning" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="List Item" alignment="left" bullet="indent" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Pencil-style name="Pencil 5" pen-color="[255,0,0]" pen-height="5.0" pen-width="5.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 4" pen-color="[0,0,255]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 3" pen-color="[0,0,0]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 2" pen-color="[0,0,255]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 1" pen-color="[0,0,0]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
<Highlighter-style name="Highlighter 2" pen-color="[255,204,0]" pen-height="14.0" pen-width="14.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 1" pen-color="[255,153,255]" pen-height="12.0" pen-width="8.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 4" pen-color="[0,255,255]" pen-height="32.0" pen-width="32.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 3" pen-color="[51,255,0]" pen-height="24.0" pen-width="24.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 5" pen-color="[255,255,0]" pen-height="48.0" pen-width="48.0" pen-opacity="0.8"/>
</Styles>
<Task-table>
    <Task-category name="&lt;default&gt;">
    </Task-category>
</Task-table>
<Annotation-table>
    <Annotation-category name="&lt;default&gt;">
    </Annotation-category>
</Annotation-table>
<Task name="" description="">
</Task><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8479" drawlabel="true">
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<Text-field style="Text" layout="Normal">In the preceding two articles (Stepwise Solutions in Maple - Part 1, Stepwise Solutions in Maple - Part 2 - Linear Algebra), we detailed the Maple tools for obtaining stepwise solutions of problems in algebra, calculus of one and several variables, and linear algebra.  In this sequel, we detail the stepwise tools available in vector calculus.  </Text-field>
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<Text-field style="Text" layout="Normal">These tools include eleven task templates for computing the flux of a vector field through curves and surfaces, nine task templates for iterated integration, and eight task templates for computing surface integrals. In addition, there is a task template for integrating a planar vector field, and a task template that provides access to the Multiple Integration Maplet, yet another interface to the modified <Font bold="true">int</Font> command in the <Font italic="true">VectorCalculus</Font> packages. Finally, there are two tutors, one for visualizing the Frenet-Serret formalism for a space curve, and one for visualizing a vector field.</Text-field>
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<Text-field style="Text" layout="Normal">But again, we point out that Maple &quot;does&quot; symbolic math, and can therefore be directed to implement the steps of nearly any algorithmic computation.</Text-field>
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<Text-field style="Text" layout="Normal">Table 1 shows the default application of the task template that integrates a planar vector field.  Given the field, an integral curve (or flow line) is drawn through each point clicked on with the mouse.  For any coordinate system chosen, the Cartesian coordinates of the point selected are written in the relevant window.</Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="none" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Vector Fields\342\211\273Integrate Planar Vector Field</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="95.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="408" separator="true"></Table-Column><Table-Column weight="386" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]">Integrate Planar Vector Field</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" size="10" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">Plot Window                      <EC-Button id="Button16" caption="Insert Defaults:" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 
# Enter Maple commands to be executed when the specified
# action is carried out on the component.
# Use: 
#    Do( %component_name );
# and
#    Do( %component_name = value );
# to set and get properties of the component.
# You can also use arbitrary expressions
# involving components, e.g.:
#    Do( %target = %input1 + 2*%input2 );
# Note the %-prefix to each component name.
# See ?CustomizingComponents for more information.
Do(%MathContainer25 = -1);
Do(%MathContainer26 = 1);
Do(%MathContainer27 = -1);
Do(%MathContainer28 = 1);
end use; 
</MapleCode></EC-Button></Font></Text-field>
<Text-field style="Text" size="8" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer25" pixel-width="60" pixel-height="40" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEmJmxlcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGQy1JI21pR0YkNiVRInhGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRidGK0Yv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEmJmxlcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGQy1JI21pR0YkNiVRInhGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRidGK0Yv</Equation><EC-MathContainer id="MathContainer26" pixel-width="60" pixel-height="40" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>,     <EC-MathContainer id="MathContainer27" pixel-width="60" pixel-height="40" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEmJmxlcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGQy1JI21pR0YkNiVRInlGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRidGK0Yv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEmJmxlcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGQy1JI21pR0YkNiVRInlGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRidGK0Yv</Equation><EC-MathContainer id="MathContainer28" pixel-width="60" pixel-height="40" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
<Text-field style="Text" size="10" layout="Normal"></Text-field>
<Text-field style="Text" size="10" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">Vector Field</Font></Text-field>
<Text-field style="Text" layout="Normal">Component 1: <EC-MathContainer id="MathContainer29" pixel-width="300" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
<Text-field style="Text" layout="Normal">Component 2: <EC-MathContainer id="MathContainer30" pixel-width="300" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
<Text-field style="Text" size="8" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">Coordinates</Font></Text-field>
<Text-field style="Text" layout="Normal">System: <EC-ComboBox id="ComboBox2" enabled="true" visible="true" selecteditem="Cartesian">Cartesian,bipolar,cardioid,cassinian,elliptic,hyperbolic,invcassinian,logarithmic,logcosh,parabolic,polar,rose,tangent<MapleCode action="selection-event-handler"></MapleCode></EC-ComboBox>        Variables: <EC-MathContainer id="MathContainer31" pixel-width="75" pixel-height="40" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo separator='true' lspace='0.0em' rspace='0.3333333em'&gt;&amp;comma;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
<Text-field style="Text" size="8" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">Path Parameter</Font>           <EC-Button id="Button17" caption="Insert Defaults:" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 
# Enter Maple commands to be executed when the specified
# action is carried out on the component.
# Use: 
#    Do( %component_name );
# and
#    Do( %component_name = value );
# to set and get properties of the component.
# You can also use arbitrary expressions
# involving components, e.g.:
#    Do( %target = %input1 + 2*%input2 );
# Note the %-prefix to each component name.
# See ?CustomizingComponents for more information.
Do(%MathContainer32 = -1);
Do(%MathContainer34 = 1);
Do(%MathContainer33 = t);
end use; 
</MapleCode></EC-Button></Text-field>
<Text-field style="Text" size="8" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal">      <EC-MathContainer id="MathContainer32" pixel-width="60" pixel-height="40" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLUYsNi1RJiZsZXE7RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSwwLjI3Nzc3NzhlbUYnL0ZFRkpGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLUYsNi1RJiZsZXE7RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSwwLjI3Nzc3NzhlbUYnL0ZFRkpGLw==</Equation><EC-MathContainer id="MathContainer33" pixel-width="60" pixel-height="40" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEmJmxlcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGQ0Yv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEmJmxlcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGQ0Yv</Equation><EC-MathContainer id="MathContainer34" pixel-width="60" pixel-height="40" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>           <EC-Button id="Button18" caption="Enter Data" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 
# Enter Maple commands to be executed when the specified
# action is carried out on the component.
# Use: 
#    Do( %component_name );
# and
#    Do( %component_name = value );
# to set and get properties of the component.
# You can also use arbitrary expressions
# involving components, e.g.:
#    Do( %target = %input1 + 2*%input2 );
# Note the %-prefix to each component name.
# See ?CustomizingComponents for more information.

ESAHP:=module()
local GG,F,PP,k,S,p1,p2,q1,q2,FF,x,y,F1,F2,sys,Vars,vars,param;
export CL;
Do(XL = %MathContainer25);
Do(XR = %MathContainer26);
Do(YL = %MathContainer27);
Do(YR = %MathContainer28);
Do(TL = %MathContainer32);
Do(TR = %MathContainer34);
Do(F1 = %MathContainer29);
Do(F2 = %MathContainer30);
Do(sys = %ComboBox2);
if sys=Cartesian then sys:=cartesian;end if;
Do(Vars = %MathContainer31);
Do(param = %MathContainer33);
Do(%TextArea1 = NULL);
if F1=NULL then F1:=0;end if;
if F2=NULL then F2:=0;end if;
if F1=0 and F2=0 then Do(%TextArea1 = &quot;The zero vector field is not very interesting&quot;);return;end if;
if Vars=NULL then Do(%TextArea1 = &quot;Please provide the names of the two independent variables&quot;);return;end if;

if type([Vars], 'list'('name')) then vars:=Vars;
elif type([Vars],'list'('list'('name'))) then vars:=op(Vars);
elif type([Vars],'list'('set'('name'))) then Do(%TextArea1 = &quot;Order of items in a set {} not fixed.  Use list [] or sequence&quot;);return;
else Do(%TextArea1 = &quot;Cannot understand entry for variables&quot;);return;end if;
if nops([vars])&lt;&gt;2 then Do(%TextArea1 = &quot;Please provide the names of exactly two coordinate variables&quot;);return;end if;
F := VectorField(&lt;F1,F2&gt;,sys[vars]);

qq := GetCoordinates(F);
if not verify(indets(F,name),{op(qq)},`subset`) then 
Do(%TextArea1 = &quot;Only coordinate variables can appear in the components of F&quot;);return;end if;

if param=NULL then Do(%TextArea1 = &quot;Please provide the name of the parameter along flow lines&quot;);return;
elif not type(param,name) then Do(%TextArea1 = &quot;Cannot understand the entry for the flow-line parameter&quot;);return; 
elif not verify({param},{op(qq)},`subset`) then T:=param;
else Do(%TextArea1 = &quot;Flow line parameter cannot also be a coordinate. Use a different parameter name.&quot;);return;end if;

FF := MapToBasis(F,cartesian[x,y]);

q1 := diff(x(T),T) = eval(FF[1],[x=x(T),y=y(T)]);
q2 := diff(y(T),T) = eval(FF[2],[x=x(T),y=y(T)]);

GG := DEtools[DEplot]([q1,q2],[x(T),y(T)],T=TL..TR, x=XL..XR, y=YL..YR, arrows=medium):

Do(%Plot5 = GG);

CL := proc()
local cx,cy,H;
Do(cx = %Plot5(clickx));
Do(cy = %Plot5(clicky));
Cx := evalf(cx,8);
Cy := evalf(cy,8);
Do(%TextArea1 = sprintf(&quot;Cartesian coordinates of point clicked: %a&quot;,[Cx,Cy]));
H := dsolve({q1,q2, x(0)=cx, y(0)=cy}, {x(T),y(T)}, numeric, range=TL..TR);
GG := GG,plots[odeplot](H,[x(T),y(T)],T=TL..TR, color=black, refine=1);
Do(%Plot5 = plots[display]([GG], view=[XL..XR,YL..YR]));
end proc:

end module:

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Plot id="Plot5" visible="true" pixel-width="400" pixel-height="400" continuous="false" delay="100" clickx="0.2988229938625979" clicky="-0.21338937227055765" startx="0.2988229938625979" starty="-0.21338937227055765" endx="0.3625689076718053" endy="-0.23486679555327283" clickdefault="true"><MapleCode action="drag-end-event-handler"></MapleCode><MapleCode action="click-event-handler">use DocumentTools in 
# Enter Maple commands to be executed when the specified
# action is carried out on the component.
# Use: 
#    Do( %component_name );
# and
#    Do( %component_name = value );
# to set and get properties of the component.
# You can also use arbitrary expressions
# involving components, e.g.:
#    Do( %target = %input1 + 2*%input2 );
# Note the %-prefix to each component name.
# See ?CustomizingComponents for more information.

ESAHP:-CL():

end use; 
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<Text-field style="Text" layout="Normal" alignment="centred">  <EC-Button id="Button19" caption="Erase Graph" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 
# Enter Maple commands to be executed when the specified
# action is carried out on the component.
# Use: 
#    Do( %component_name );
# and
#    Do( %component_name = value );
# to set and get properties of the component.
# You can also use arbitrary expressions
# involving components, e.g.:
#    Do( %target = %input1 + 2*%input2 );
# Note the %-prefix to each component name.
# See ?CustomizingComponents for more information.

Do(XL = %MathContainer25);
Do(XR = %MathContainer26);
Do(YL = %MathContainer27);
Do(YR = %MathContainer28);

Do(%Plot5 = plot(0, x=XL..XR, y=YL..YR));

end use; 
</MapleCode></EC-Button>                <EC-Button id="Button20" caption="Clear All" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 
# Enter Maple commands to be executed when the specified
# action is carried out on the component.
# Use: 
#    Do( %component_name );
# and
#    Do( %component_name = value );
# to set and get properties of the component.
# You can also use arbitrary expressions
# involving components, e.g.:
#    Do( %target = %input1 + 2*%input2 );
# Note the %-prefix to each component name.
# See ?CustomizingComponents for more information.

Do(%Plot5 = plots[display](plots[textplot]([0,0, &quot; &quot;]), axes=none));
Do(%MathContainer25 = NULL);
Do(%MathContainer26 = NULL);
Do(%MathContainer27 = NULL);
Do(%MathContainer28 = NULL);
Do(%MathContainer32 = NULL);
Do(%MathContainer34 = NULL);
Do(%MathContainer33 = NULL);
Do(%MathContainer29 = NULL);
Do(%MathContainer30 = NULL);
Do(%MathContainer31 = NULL);
Do(%TextArea1 = NULL);
end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><EC-TextArea id="TextArea1" enabled="true" visible="true" visiblecharacterwidth="80" visiblerows="1" contents="Cartesian coordinates of point clicked: [.29882299, -.21338937]" editable="true" wrapping="true"><MapleCode action="content-event-handler"></MapleCode></EC-TextArea></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 1</Font>   Interactive integration a planar vector field - flow lines drawn through each point clicked on</Text-field></Table-Cell></Table-Row></Table><Presentation-Block>
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<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1">Flux through a Plane Curve</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7060" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7115" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The <Font bold="true">Flux</Font> command in the <Font italic="true">VectorCalculus</Font> package computes flux of a vector field through curves and surfaces. The syntax for this command varies for each of the four distinct curves it recognizes (circle, ellipse,  line segment, polygonal line), and for the general parametrically defined curve.  The following four task templates provide simplified interfaces to the <Font bold="true">Flux</Font> command in each of these cases. </Text-field>
</Input>
</Group></Presentation-Block>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Circle</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7117" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7158" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Table 2 shows the calculation of the flux of the Cartesian vector field <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> through the circle with center <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRidGMEY0RjRGNA==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRidGMEY0RjRGNA==</Equation> and radius 2.</Text-field>
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<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="none" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Flux\342\211\2732-D\342\211\273Through a Circle</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7155" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]" size="14">Flux through a Circle</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="90.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="74" separator="true"></Table-Column><Table-Column weight="95" separator="true"></Table-Column><Table-Column weight="129" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7139" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-ComboBox id="ComboBox3" enabled="true" visible="true" selecteditem="Cartesian [x,y]">Select Coordinate System,Cartesian [x\134,y],Cartesian - other,polar,bipolar,cardioid,cassinian,elliptic,hyperbolic,invcassinian,logarithmic,logcosh,parabolic,rose,tangent<MapleCode action="selection-event-handler">use DocumentTools in 

module()
local q;

if GetProperty(ComboBox3,value) = &quot;Select Coordinate System&quot; then Do(%MathContainer5 = NULL);
Do(%Label7(visible) = false);
Do(%Button22(visible) = false);
Do(%MathContainer35(visible) = false);
Do(%MathContainer36(visible) = false);
return; end if;

Do(%MathContainer35(visible) = true);
Do(%MathContainer36(visible) = true);
Do(%Label7(visible) = true);
Do(%Button22(visible) = true);

Do(q = %ComboBox3):
if q=Cartesian [x,y] then Do(%MathContainer35=MathML[Export]([x,y]));

else Do(%MathContainer35 = NULL);

end if:
Do(%MathContainer36 = NULL);
end module;

end use; 
</MapleCode></EC-ComboBox></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7123" drawlabel="true">
<Input>
<Text-field style="Text" size="8" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7143" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button21" caption="Clear All and Reset" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%ComboBox3(value) = &quot;Select Coordinate System&quot;):

Do(%MathContainer35 = NULL);
Do(%MathContainer36 = NULL);
Do(%MathContainer37 = NULL);
Do(%MathContainer38 = NULL);
Do(%MathContainer44 = NULL);
Do(%MathContainer45 = NULL);
Do(%MathContainer39 = NULL);
Do(%MathContainer40 = NULL);
Do(%MathContainer41 = NULL);

Do(%MathContainer35(visible) = false);
Do(%MathContainer36(visible) = false);
Do(%MathContainer37(visible) = false);
Do(%MathContainer38(visible) = false);
Do(%MathContainer44(visible) = false);
Do(%MathContainer45(visible) = false);
Do(%MathContainer39(visible) = false);
Do(%MathContainer40(visible) = false);
Do(%MathContainer41(visible) = false);
Do(%MathContainer42(visible) = false);
Do(%MathContainer43(visible) = false);

Do(%Label7(visible) = false);
Do(%Label8(visible) = false);
Do(%Label9(visible) = false);
Do(%Label10(visible) = false);
Do(%Label11(visible) = false);
Do(%Label12(visible) = false);
Do(%Label13(visible) = false);
Do(%Label14(visible) = false);

Do(%Button22(visible) = false);
Do(%Button23(visible) = false);
Do(%Button24(visible) = false);
Do(%Button25(enabled) = false);
Do(%Button31(enabled) = false);
Do(%Button32(enabled) = false);
Do(%Button33(enabled) = false);
Do(%Button34(enabled) = false);
Do(%Button35(enabled) = false);
Do(%Button26(visible) = false);
Do(%Button27(visible) = false);
Do(%Button28(visible) = false);
Do(%Button29(visible) = false);
Do(%Button30(enabled) = false);

Do(%RadioButton9(visible) = false);
Do(%RadioButton10(visible) = false);
Do(%RadioButton11(visible) = false);
Do(%RadioButton12(visible) = false);
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7149" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label7" caption=" Coordinate Variables " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7145" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer35" pixel-width="150" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7146" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Button id="Button22" caption="Set System for Field" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools, StringTools in 

xxxVFconstruct := module()
local q,q1,q2;
export q3;

Do(q = %ComboBox3);
Do(q1 = %MathContainer35);
if type([q1],'list'('list')) then q2:=q1;
elif type([q1],'list') then q2:=[q1];end if;
if q2=NULL then return;end if;

if   q=Cartesian [x,y] then q3 := parse(Join([&quot;cartesian&quot;,convert(q2,string)],&quot;&quot;));
elif q=Cartesian - other then if nops(q2)=2 then q3:=(parse(Join([&quot;cartesian&quot;,convert(q2,string)],&quot;&quot;))) else return;end if;
else if nops(q2)=2 then q3:=(parse(Join([convert(q,string),convert(q2,string)],&quot;&quot;))) else return;end if;
end if;

Do(%MathContainer36 = MathML[Export]([op(0,q3),[op(q3)]]));

Do(%Label8(visible) = true):
Do(%Label9(visible) = true):

Do(%MathContainer37(visible) = true);
Do(%MathContainer38(visible) = true);

Do(%Button23(visible) = true);
Do(%Button24(visible) = true);
Do(%Button25(enabled) = true);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7148" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer36" pixel-width="250" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;cartesian&lt;/mi&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="all" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="254" separator="true"></Table-Column><Table-Column weight="257" separator="true"></Table-Column><Table-Column weight="255.5" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7147" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-Label id="Label8" caption=" First Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7127" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer37" pixel-width="250" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button23" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer37 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7151" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-Label id="Label9" caption=" Second Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>          </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7152" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer38" pixel-width="250" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button24" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer38 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7129" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button25" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer37);
Do(q2 = %MathContainer38);

if nops([q1])*nops([q2])=0 then return;end if;

Do(%Label10(visible) = true);
Do(%Label11(visible) = true);
Do(%Label12(visible) = true);
#Do(%Label13(visible) = true);
#Do(%Label14(visible) = true);

Do(%MathContainer39(visible) = true);
Do(%MathContainer40(visible) = true);
Do(%MathContainer41(visible) = true);
#Do(%MathContainer42(visible) = true);
#Do(%MathContainer43(visible) = true);

Do(%Button26(visible) = true);
Do(%Button27(visible) = true);
Do(%Button28(visible) = true);
#Do(%Button29(visible) = true);
Do(%Button30(enabled) = true);

Do(%RadioButton9(visible) = true);
Do(%RadioButton10(visible) = true);
Do(%RadioButton9 = true);

Do(%RadioButton11(visible) = true);
Do(%RadioButton12(visible) = true);
Do(%RadioButton11 = true);

Do(%MathContainer42 = 0);
Do(%MathContainer43 = 2*Pi);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="none" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="109" separator="true"></Table-Column><Table-Column weight="169" separator="true"></Table-Column><Table-Column weight="216" separator="true"></Table-Column><Table-Column weight="103" separator="true"></Table-Column><Table-Column weight="156" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">Center </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYlLUYjNiYtSSNtaUdGJDYmUSJoRicvJSVzaXplR1EjMTBGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYuUSIsRidGNC9GO1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjkvJSlzdHJldGNoeUdGRS8lKnN5bW1ldHJpY0dGRS8lKGxhcmdlb3BHRkUvJS5tb3ZhYmxlbGltaXRzR0ZFLyUnYWNjZW50R0ZFLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjE2JlEia0YnRjRGN0Y6RkFGNEZBRkE=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYlLUYjNiYtSSNtaUdGJDYmUSJoRicvJSVzaXplR1EjMTBGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYuUSIsRidGNC9GO1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjkvJSlzdHJldGNoeUdGRS8lKnN5bW1ldHJpY0dGRS8lKGxhcmdlb3BHRkUvJS5tb3ZhYmxlbGltaXRzR0ZFLyUnYWNjZW50R0ZFLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjE2JlEia0YnRjRGN0Y6RkFGNEZBRkE=</Equation><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">:</Font></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-Label id="Label10" caption=" h = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer39" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button26" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer39 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-Label id="Label11" caption=" k = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer40" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button27" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer40 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[192,192,192]">
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">Radius:</Font></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[192,192,192]">
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-Label id="Label12" caption=" r = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer41" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button28" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer41 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[153,204,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7156" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><EC-RadioButton id="RadioButton9" groupname="Group0" caption="Full Circle" enabled="true" visible="true" selected="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer44 = NULL);
Do(%MathContainer45 = NULL);

Do(%MathContainer42(visible) = true);
Do(%MathContainer43(visible) = true);

Do(%MathContainer42(visible) = false);
Do(%MathContainer43(visible) = false);

Do(%Label13(visible) = false);
Do(%Label14(visible) = false);

Do(%Button29(visible) = false);


end use; 
</MapleCode></EC-RadioButton><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7130" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><EC-RadioButton id="RadioButton10" groupname="Group0" caption="Arc" enabled="true" visible="true" selected="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer44 = NULL);
Do(%MathContainer45 = NULL);

Do(%MathContainer42(visible) = true);
Do(%MathContainer43(visible) = true);

Do(%MathContainer42 = NULL);
Do(%MathContainer43 = NULL);

Do(%Label13(visible) = true);
Do(%Label14(visible) = true);

Do(%Button29(visible) = true);

end use; 
</MapleCode></EC-RadioButton><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="2" backgroundstyle="1" rowspan="1" fillcolor="[153,204,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7128" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label13" caption=" Start Angle = " enabled="true" visible="false" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer42" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="false"></EC-MathContainer>    <EC-Label id="Label14" caption=" End Angle = " enabled="true" visible="false" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label> <EC-MathContainer id="MathContainer43" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="false"></EC-MathContainer>   <EC-Button id="Button29" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer42 = NULL);
Do(%MathContainer43 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[153,204,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7124" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><EC-RadioButton id="RadioButton11" groupname="Group1" caption="N outward" enabled="true" visible="true" selected="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer44 = NULL);
Do(%MathContainer45 = NULL);

end use; 
</MapleCode></EC-RadioButton></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7131" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><EC-RadioButton id="RadioButton12" groupname="Group1" caption="N inward" enabled="true" visible="true" selected="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer44 = NULL);
Do(%MathContainer45 = NULL);

end use; 
</MapleCode></EC-RadioButton></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7125" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button30" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2,q3,q4,q5;

Do(q1 = %MathContainer39);
Do(q2 = %MathContainer40);
Do(q3 = %MathContainer41);
Do(q4 = %MathContainer42);
Do(q5 = %MathContainer43);

if nops([q1])*nops([q2])*nops([q3])*nops([q4])*nops([q5])=0 then return;end if;

Do(%Button31(enabled) = true);
Do(%Button32(enabled) = true);
Do(%Button33(enabled) = true);
Do(%Button34(enabled) = true);
Do(%Button35(enabled) = true);

Do(%MathContainer44(visible) = true);
Do(%MathContainer45(visible) = true);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8472" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="37" separator="true"></Table-Column><Table-Column weight="163" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7138" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7141" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button31" caption="Flux Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools, VectorCalculus in 

module()
local q, F1, F2, F, h,k,rad,u,v, DIR,Cent;

Do(F1 = %MathContainer37);
Do(F2 = %MathContainer38);

if nops([F1])*nops([F2])=0 then return;end if;

F := VectorField([F1,F2],coords=xxxVFconstruct:-q3);

Do(h = %MathContainer39);
Do(k = %MathContainer40);
Do(rad = %MathContainer41);

if nops([h])*nops([k])*nops([rad])=0 then return;end if;
Cent := Vector([h,k],coords=cartesian[x,y]);
Do(u = %MathContainer42);
Do(v = %MathContainer43);

if Do(%RadioButton10) and nops([u])*nops([v])=0 then return;end if;

if Do(%RadioButton11) then DIR:=outward else DIR:=inward;end if;
if Do(%RadioButton9) then q := Flux(F,Circle(Cent,rad,DIR),inert);
else q := Flux(F,Arc(Circle(Cent,rad,DIR),u,v),inert);
end if;

Do(%MathContainer44 = q);
Do(%Button32(enabled) = true);
Do(%Button33(enabled) = true);
Do(%MathContainer45(visible) = true);
Do(%MathContainer45 = NULL);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7144" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7132" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button32" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer44);
if nops([q])=0 then return;end if;
Do(%MathContainer44 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7142" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer44" pixel-width="650" pixel-height="150" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="37" separator="true"></Table-Column><Table-Column weight="163" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7134" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button33" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer44);
if nops([q])=0 then return;end if;
Do(%MathContainer45 = value(q));
Do(%Button34(enabled) = true);
Do(%Button35(enabled) = true);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7133" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button34" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer45);
if nops([q])=0 then return;end if;
Do(%MathContainer45 = simplify(q));

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7126" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button35" caption="Float" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer44);
Do(q2 = %MathContainer45);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer45 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer45 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer45 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7135" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer45" pixel-width="650" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 2</Font>   Flux through a circle computed by task template</Text-field></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7120" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Ellipse</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7160" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7203" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Table 3 shows the calculation of the flux of the Cartesian vector field <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> through the ellipse whose equation is <Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEiK0YnRj4vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkkvJSlzdHJldGNoeUdGSS8lKnN5bW1ldHJpY0dGSS8lKGxhcmdlb3BHRkkvJS5tb3ZhYmxlbGltaXRzR0ZJLyUnYWNjZW50R0ZJLyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGWEY6LUZENi1RIn5GJ0Y+RkdGSkZMRk5GUEZSRlQvRldRJjAuMGVtRicvRlpGaW4tRiw2JS1GLzYlUSJ5RidGMkY1RjhGQC1GRDYtUSI9RidGPkZHRkpGTEZORlBGUkZUL0ZXUSwwLjI3Nzc3NzhlbUYnL0ZaRmRvLUY7NiRRIjFGJ0Y+Rj4=</Equation>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7161" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="none" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7164" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Flux\342\211\2732-D\342\211\273Through an Ellipse</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7186" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]" size="14">Flux through an Ellipse</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="90.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="74" separator="true"></Table-Column><Table-Column weight="95" separator="true"></Table-Column><Table-Column weight="129" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7198" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-ComboBox id="ComboBox4" enabled="true" visible="true" selecteditem="Cartesian [x,y]">Select Coordinate System,Cartesian [x\134,y],Cartesian - other,polar,bipolar,cardioid,cassinian,elliptiic,hyperbolic,invcassinian,logarithmic,logcosh,parabolic,rose,tangent<MapleCode action="selection-event-handler">use DocumentTools in 

module()
local q;

if GetProperty(ComboBox4,value) = &quot;Select Coordinate System&quot; then Do(%MathContainer51 = NULL);
Do(%Label15(enabled) = false);
Do(%Button37(enabled) = false);
Do(%MathContainer46(visible) = false);
Do(%MathContainer47(visible) = false);
return; end if;

Do(%MathContainer46(visible) = true);
Do(%MathContainer47(visible) = true);
Do(%Label15(visible) = true);
Do(%Button37(visible) = true);

Do(q = %ComboBox4):
if q=Cartesian [x,y] then Do(%MathContainer46=MathML[Export]([x,y]));

else Do(%MathContainer46 = NULL);

end if:
Do(%MathContainer47 = NULL);
end module;

end use; 
</MapleCode></EC-ComboBox></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7185" drawlabel="true">
<Input>
<Text-field style="Text" size="8" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7194" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button36" caption="Clear All and Reset" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%ComboBox4(value) = &quot;Select Coordinate System&quot;):

Do(%MathContainer46 = NULL);
Do(%MathContainer47 = NULL);
Do(%MathContainer48 = NULL);
Do(%MathContainer49 = NULL);
Do(%MathContainer51 = NULL);
Do(%MathContainer52 = NULL);
Do(%MathContainer50 = NULL);

Do(%MathContainer46(visible) = false);
Do(%MathContainer47(visible) = false);
Do(%MathContainer48(visible) = false);
Do(%MathContainer49(visible) = false);
Do(%MathContainer51(visible) = false);
Do(%MathContainer52(visible) = false);
Do(%MathContainer50(visible) = false);

Do(%Label15(visible) = false);
Do(%Label16(visible) = false);
Do(%Label17(visible) = false);
Do(%Label18(visible) = false);
Do(%Label19(visible) = false);
Do(%Label20(visible) = false);

Do(%Button37(visible) = false);
Do(%Button38(visible) = false);
Do(%Button39(visible) = false);
Do(%Button40(visible) = false);
Do(%Button43(enabled) = false);
Do(%Button44(enabled) = false);
Do(%Button45(enabled) = false);
Do(%Button46(enabled) = false);
Do(%Button47(enabled) = false);
Do(%Button42(visible) = false);
Do(%Button41(visible) = false);

Do(%RadioButton13(visible) = false);
Do(%RadioButton14(visible) = false);


end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7180" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label15" caption=" Coordinate Variables " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7184" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer46" pixel-width="150" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7183" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button37" caption="Set System for Field" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools, StringTools in 

xxxVFconstruct := module()
local q,q1,q2;
export q3;

Do(q = %ComboBox4);
Do(q1 = %MathContainer46);
if type([q1],'list'('list')) then q2:=q1;
elif type([q1],'list') then q2:=[q1];end if;
if q2=NULL then return;end if;

if   q=Cartesian [x,y] then q3 := parse(Join([&quot;cartesian&quot;,convert(q2,string)],&quot;&quot;));
elif q=Cartesian - other then if nops(q2)=2 then q3:=(parse(Join([&quot;cartesian&quot;,convert(q2,string)],&quot;&quot;))) else return;end if;
else if nops(q2)=2 then q3:=(parse(Join([convert(q,string),convert(q2,string)],&quot;&quot;))) else return;end if;
end if;

Do(%MathContainer47 = MathML[Export]([op(0,q3),[op(q3)]]));

Do(%Label16(visible) = true):
Do(%Label17(visible) = true):

SetProperty(MathContainer48,visible,true);
SetProperty(MathContainer49,visible,true);
SetProperty(Button38,visible,true);
SetProperty(Button39,visible,true);
SetProperty(Button40,visible,true);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7174" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer47" pixel-width="250" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;cartesian&lt;/mi&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="all" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="254" separator="true"></Table-Column><Table-Column weight="257" separator="true"></Table-Column><Table-Column weight="255.5" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7176" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label16" caption=" First Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7173" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer48" pixel-width="250" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button38" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer48 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7169" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label17" caption=" Second Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>          </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7168" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer49" pixel-width="250" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button39" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer49 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7193" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button40" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%Label18(visible) = true);
Do(%Label19(visible) = true);
Do(%Label20(visible) = true);

Do(%MathContainer50(visible) = true);

Do(%Button42(visible) = true);
Do(%Button41(visible) = true);

Do(%RadioButton13(visible) = true);
Do(%RadioButton14(visible) = true);
Do(%RadioButton13 = true);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="all" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="162" separator="true"></Table-Column><Table-Column weight="116" separator="true"></Table-Column><Table-Column weight="247" separator="true"></Table-Column><Table-Column weight="108" separator="true"></Table-Column><Table-Column weight="120" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[153,204,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7171" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label18" caption=" Equation of Ellipse " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7200" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label19" caption=" Coordinates - " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7187" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label20" caption=" Cartesian [x,y] " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="2" backgroundstyle="1" rowspan="1" fillcolor="[153,204,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7177" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation>  <EC-MathContainer id="MathContainer50" pixel-width="300" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;msup&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;mo lspace='0.2777778em' rspace='0.2777778em'&gt;&amp;equals;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>  <EC-Button id="Button41" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer50 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[153,204,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7170" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><EC-RadioButton id="RadioButton13" groupname="Group1" caption="N outward" enabled="true" visible="true" selected="true"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer51 = NULL);
Do(%MathContainer52 = NULL);

end use; 
</MapleCode></EC-RadioButton></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7175" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><EC-RadioButton id="RadioButton14" groupname="Group1" caption="N inward" enabled="true" visible="true" selected="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer51 = NULL);
Do(%MathContainer52 = NULL);

end use; 
</MapleCode></EC-RadioButton></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7181" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button42" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%Button43(enabled) = true);
#Do(%Button44(enabled) = true);
#Do(%Button45(enabled) = true);
#Do(%Button46(enabled) = true);
#Do(%Button47(enabled) = true);

Do(%MathContainer51(visible) = true);
#Do(%MathContainer52(visible) = true);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8473" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="37" separator="true"></Table-Column><Table-Column weight="163" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7199" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7196" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button43" caption="Flux Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools, VectorCalculus in 

module()
local q, F1, F2, F, q1, Eq, DIR, Y,X,Xm,FLUX,XL,XR,FF;

Do(F1 = %MathContainer48);
Do(F2 = %MathContainer49);

if nops([F1])*nops([F2])=0 then return;end if;

FF := VectorField([F1,F2],coords=xxxVFconstruct:-q3);
F := MapToBasis(FF,coords=cartesian[x,y]);
Do(q1 = %MathContainer50);
if nops([q1])=0 then return;end if;

if type(q1,`=`) then Eq:=lhs(q1)-rhs(q1) else Eq:=q1;end if;

if Do(%RadioButton13) then DIR:=outward; else DIR:=inward;end if;

if has(Eq,x*y) then
	if indets(Eq)&lt;&gt;{x,y} then return;end if;
Y := solve(Eq,y);
X := [solve(discrim(Eq,y),x)];
	if evalf(X[1])&lt;evalf(X[2]) then XL:=X[1];XR:=X[2]; else XL:=X[2];XR:=X[1];end if;
Xm := (X[1]+X[2])/2;
	if evalf(eval(Y[1],x=Xm))&gt;evalf(eval(Y[2],x=Xm)) then YT:=Y[1];YB:=Y[2]; else YT:=Y[2];YB:=Y[1];end if;
VT := Vector([x,YT],coords=cartesian[x,y]);
VB := Vector([x,YB],coords=cartesian[x,y]);
FLUX := Flux(F,Path(VT,XR..XL,cartesian),inert) + Flux(F,Path(VB,XL..XR,cartesian),inert);
	if DIR=outward then q:=FLUX else q:=-FLUX;end if;

else 
q := Flux(F,Ellipse(Eq,DIR),inert);

end if;

Do(%MathContainer51 = q);
Do(%Button44(enabled) = true);
Do(%Button45(enabled) = true);
Do(%MathContainer52(visible) = true);
Do(%MathContainer52 = NULL);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7182" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7178" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button44" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer51);
if nops([q])=0 then return;end if;
Do(%MathContainer51 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7195" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer51" pixel-width="650" pixel-height="150" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;cos&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;sin&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;cos&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;cos&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;sin&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="37" separator="true"></Table-Column><Table-Column weight="163" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7202" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button45" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer51);
if nops([q])=0 then return;end if;
Do(%MathContainer52 = value(q));
Do(%Button46(enabled) = true);
Do(%Button47(enabled) = true);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7189" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button46" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer52);
if nops([q])=0 then return;end if;
Do(%MathContainer52 = simplify(q));

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7167" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button47" caption="Float" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer51);
Do(q2 = %MathContainer52);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer52 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer52 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer52 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7201" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer52" pixel-width="650" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7166" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 3</Font>   Flux through an ellipse computed by task template</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7159" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Line Segment or Polygonal Line</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7206" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7207" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Table 4 shows the calculation of the flux of the Cartesian vector field <Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtaUdGJDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiK0YnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZRLUYxNiVRInlGJ0Y0RjdGPkY+LUY7Ni1RIn5GJ0Y+RkBGQ0ZFRkdGSUZLRk0vRlBRJjAuMGVtRicvRlNGZW4tRjE2J1EiaUYnLyUlYm9sZEdGNi9GNUZCL0Y4USVib2xkRicvJStmb250d2VpZ2h0R0Zeb0Y6RjBGV0ZURlctRjE2J1EiakYnRmpuRlxvRl1vRl9vRj4=</Equation> through a polygonal line determined by three nodes. If only two nodes are given, the flux through the line segment these nodes determine will be computed. The integral that is displayed shows how the line segments are parametrized. If the Simplify button is pressed, a single integral results, which is simpler to evaluate but harder to interpret.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7208" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="none" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7212" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Flux\342\211\2732-D\342\211\273Through a Polygonal Line</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7246" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]" size="14">Flux through a Polygonal Line</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="90.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="74" separator="true"></Table-Column><Table-Column weight="95" separator="true"></Table-Column><Table-Column weight="129" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7224" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-ComboBox id="ComboBox5" enabled="true" visible="true" selecteditem="Cartesian [x,y]">Select Coordinate System,Cartesian [x\134,y],Cartesian - other,polar,bipolar,cardioid,cassinian,elliptic,hyperbolic,invcassinian,logarithmic,logcosh,parabolic,rose,tangent<MapleCode action="selection-event-handler">use DocumentTools in 

module()
local q;

if GetProperty(ComboBox5,value) = &quot;Select Coordinate System&quot; then Do(%MathContainer57 = NULL);
Do(%Label21(enabled) = false);
Do(%Button49(enabled) = false);
Do(%MathContainer53(visible) = false);
Do(%MathContainer54(visible) = false);
return; end if;

Do(%MathContainer53(visible) = true);
Do(%MathContainer54(visible) = true);
Do(%Label21(visible) = true);
Do(%Button49(visible) = true);

Do(q = %ComboBox5):
if q=Cartesian [x,y] then Do(%MathContainer53=MathML[Export]([x,y]));

else Do(%MathContainer53 = NULL);

end if:
Do(%MathContainer54 = NULL);
end module;

end use; 
</MapleCode></EC-ComboBox></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7215" drawlabel="true">
<Input>
<Text-field style="Text" size="8" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7230" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button48" caption="Clear All and Reset" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%ComboBox5(value) = &quot;Select Coordinate System&quot;):

Do(%MathContainer53 = NULL);
Do(%MathContainer54 = NULL);
Do(%MathContainer55 = NULL);
Do(%MathContainer56 = NULL);
Do(%MathContainer57 = NULL);
Do(%MathContainer58 = NULL);
Do(%MathContainer59 = NULL);

Do(%MathContainer53(visible) = false);
Do(%MathContainer54(visible) = false);
Do(%MathContainer55(visible) = false);
Do(%MathContainer56(visible) = false);
Do(%MathContainer57(visible) = false);
Do(%MathContainer58(visible) = false);
Do(%MathContainer59(visible) = false);

Do(%Label21(visible) = false);
Do(%Label22(visible) = false);
Do(%Label23(visible) = false);
Do(%Label24(visible) = false);
Do(%Label25(visible) = false);

Do(%Button49(visible) = false);
Do(%Button50(visible) = false);
Do(%Button51(visible) = false);
Do(%Button52(visible) = false);
Do(%Button53(visible) = false);
Do(%Button54(visible) = false);
Do(%Button55(enabled) = false);
Do(%Button56(enabled) = false);
Do(%Button57(enabled) = false);
Do(%Button58(enabled) = false);
Do(%Button59(enabled) = false);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7236" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label21" caption="Coordinate Variables" enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7232" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer53" pixel-width="150" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7233" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-Button id="Button49" caption="Set System for Field" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools, StringTools in 

xxxVFconstruct := module()
local q,q1,q2;
export q3;

Do(q = %ComboBox5);
Do(q1 = %MathContainer53);
if type([q1],'list'('list')) then q2:=q1;
elif type([q1],'list') then q2:=[q1];end if;
if q2=NULL then return;end if;

if   q=Cartesian [x,y] then q3 := parse(Join([&quot;cartesian&quot;,convert(q2,string)],&quot;&quot;));
elif q=Cartesian - other then if nops(q2)=2 then q3:=(parse(Join([&quot;cartesian&quot;,convert(q2,string)],&quot;&quot;))) else return;end if;
else if nops(q2)=2 then q3:=(parse(Join([convert(q,string),convert(q2,string)],&quot;&quot;))) else return;end if;
end if;

Do(%MathContainer54 = MathML[Export]([op(0,q3),[op(q3)]]));

Do(%Label22(visible) = true):
Do(%Label23(visible) = true):

Do(%MathContainer55(visible) = true);
Do(%MathContainer56(visible) = true);

Do(%Button50(visible) = true);
Do(%Button51(visible) = true);
Do(%Button52(visible) = true);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7235" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer54" pixel-width="250" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;cartesian&lt;/mi&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="all" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="254" separator="true"></Table-Column><Table-Column weight="257" separator="true"></Table-Column><Table-Column weight="255.5" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7234" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label22" caption="First Component" enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7217" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer55" pixel-width="250" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button50" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer55 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7238" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label23" caption="Second Component" enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>          </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7239" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer56" pixel-width="250" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button51" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer56 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7225" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button52" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer55);
Do(q2 = %MathContainer56);

if nops([q1])*nops(q[2])=0 then return;end if;

Do(%MathContainer57(visible) = true);
Do(%Label24(visible) = true);
Do(%Label25(visible) = true);
Do(%Button53(visible) = true);
Do(%Button54(visible) = true);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="all" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="35" separator="true"></Table-Column><Table-Column weight="165" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7241" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label24" caption="Enter at least 2 nodes" enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7226" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label25" caption="Node Format: [a, b] " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7222" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button53" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer57 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7240" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer57" pixel-width="600" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo separator='true' lspace='0.0em' rspace='0.3333333em'&gt;&amp;comma;&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo separator='true' lspace='0.0em' rspace='0.3333333em'&gt;&amp;comma;&lt;/mo&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mrow&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;mo separator='true' lspace='0.0em' rspace='0.3333333em'&gt;&amp;comma;&lt;/mo&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo separator='true' lspace='0.0em' rspace='0.3333333em'&gt;&amp;comma;&lt;/mo&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo separator='true' lspace='0.0em' rspace='0.3333333em'&gt;&amp;comma;&lt;/mo&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer> <EC-Button id="Button54" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 
module()
local L, M;

Do(L = %MathContainer57);

if   type([L],'list'('list')) then M:=[L];
elif type([L],'list'('list'('list'))) then M:=L;
else Do(%MathContainer57 = MathML[Export](&quot;Give nodes as sequence of lists in the form [a,b],[c,d],...&quot;));Do(%MathContainer58 = NULL);Do(%MathContainer59 = NULL);return;end if;

if nops(M)&lt;2 then Do(%MathContainer57 = MathML[Export](&quot;Provide at least two nodes&quot;));Do(%MathContainer58 = NULL);Do(%MathContainer59 = NULL); return;end if;

Do(%Button55(enabled) = true);
Do(%MathContainer58(visible) = true);


end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="37" separator="true"></Table-Column><Table-Column weight="163" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7223" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7228" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button55" caption="Flux Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools, VectorCalculus in 

module()
local q, F1, F2, F, L,CS, S, Flag;

Do(F1 = %MathContainer55);
Do(F2 = %MathContainer56);

if nops([F1])*nops([F2])=0 then return;end if;

FF := VectorField([F1,F2],coords=xxxVFconstruct:-q3);
F := MapToBasis(FF,coords=cartesian[x,y]);
CS := GetCoordinates();

Do(LL = %MathContainer57);

if type([LL],'list'('list')) then L:=LL;
elif type([LL],'list'('list'('list'))) then L:=LL[];
else return;end if;
if nops([L])&lt;2 then return;end if;
if nops([L])=2 then Do(%MathContainer58(pixelHeight) = 100) else Do(%MathContainer58(pixelHeight) = 150);end if;

Flag := 0;
for k from 1 to nops([L]) do
if nops(L[k])=2 then S||k:=Vector(L[k],coords=cartesian[x,y]);else Flag:=1; end if;
end do;
if Flag=1 then Do(%MathContainer58 = NULL);Do(%MathContainer59 = NULL);return;end if;

SetCoordinates(cartesian[x,y]);
try
q := Flux(F, LineSegments(S||(1..nops([L]))),inert);
catch:
q := NULL;
finally
SetCoordinates(CS);
end try;

Do(%MathContainer58 = q);
if q&lt;&gt;NULL then
Do(%Button56(enabled) = true);
Do(%Button57(enabled) = true);
Do(%MathContainer59(visible) = true);
end if;

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7231" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7218" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button56" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer58);
if nops([q])=0 then return;end if;
Do(%MathContainer58 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7229" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer58" pixel-width="650" pixel-height="120" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/msubsup&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mn&gt;15&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;40&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/msubsup&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mn&gt;11&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="37" separator="true"></Table-Column><Table-Column weight="163" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7220" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button57" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer58);
if nops([q])=0 then return;end if;
Do(%MathContainer59 = value(q));
Do(%Button58(enabled) = true);
Do(%Button59(enabled) = true);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7219" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button58" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer59);
if nops([q])=0 then return;end if;
Do(%MathContainer59 = simplify(q));

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7216" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button59" caption="Float" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer58);
Do(q2 = %MathContainer59);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer59 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer59 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer59 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7221" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer59" pixel-width="650" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mfrac&gt;&lt;mn&gt;31&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7214" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 4</Font>   Flux through a polygonal line computed by task template</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7205" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">General Plane Curve</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7248" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7294" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Table 5 shows the calculation of the flux of the Cartesian vector field <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> through the curve <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>.<Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7250" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="none" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7255" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Flux\342\211\2732-D\342\211\273Through a Plane Curve</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="974" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7290" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]" size="14">Flux through a Plane Curve</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="90.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="74" separator="true"></Table-Column><Table-Column weight="95" separator="true"></Table-Column><Table-Column weight="129" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7268" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-ComboBox id="ComboBox6" enabled="true" visible="true" selecteditem="Cartesian [x,y]">Select Coordinate System,Cartesian [x\134,y],Cartesian - other,polar,bipolar,cardioid,cassinian,elliptic,hyperbolic,invcassinian,logarithmic,logcosh,parabolic,rose,tangent<MapleCode action="selection-event-handler">use DocumentTools in 

module()
local q;

if GetProperty(ComboBox6,value) = &quot;Select Coordinate System&quot; then Do(%MathContainer5 = NULL);
Do(%Label26(enabled) = false);
Do(%Button61(enabled) = false);
Do(%MathContainer60(visible) = false);
Do(%MathContainer61(visible) = false);
return; end if;

Do(%MathContainer60(visible) = true);
Do(%MathContainer61(visible) = true);
Do(%Label26(visible) = true);
Do(%Button61(visible) = true);

Do(q = %ComboBox6):
if q=Cartesian [x,y] then Do(%MathContainer60=MathML[Export]([x,y]));

else Do(%MathContainer60 = NULL);

end if:
Do(%MathContainer61 = NULL);
end module;

end use; 
</MapleCode></EC-ComboBox></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7258" drawlabel="true">
<Input>
<Text-field style="Text" size="8" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7275" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button60" caption="Clear All and Reset" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%ComboBox6(value) = &quot;Select Coordinate System&quot;):
Do(%ComboBox7(value) = &quot;Select Coordinate System&quot;);

Do(%MathContainer60 = NULL);
Do(%MathContainer61 = NULL);
Do(%MathContainer62 = NULL);
Do(%MathContainer63 = NULL);
Do(%MathContainer72 = NULL);
Do(%MathContainer73 = NULL);
Do(%MathContainer69 = NULL);
Do(%MathContainer71 = NULL);
Do(%MathContainer64 = NULL);
Do(%MathContainer65 = NULL);
Do(%MathContainer66 = NULL);

Do(%MathContainer60(visible) = false);
Do(%MathContainer61(visible) = false);
Do(%MathContainer62(visible) = false);
Do(%MathContainer63(visible) = false);
#Do(%MathContainer7(visible) = false);
Do(%MathContainer67(visible) = false);
Do(%MathContainer72(visible) = false);
Do(%MathContainer73(visible) = false);
Do(%MathContainer68(visible) = false);
Do(%MathContainer69(visible) = false);
Do(%MathContainer70(visible) = false);
Do(%MathContainer71(visible) = false);
Do(%MathContainer64(visible) = false);
Do(%MathContainer65(visible) = false);
Do(%MathContainer66(visible) = false);


Do(%Label26(visible) = false);
Do(%Label27(visible) = false);
Do(%Label28(visible) = false);
Do(%Label34(visible) = false);
Do(%Label35(visible) = false);
Do(%Label29(visible) = false);
Do(%Label33(visible) = false);
Do(%Label31(visible) = false);
Do(%Label32(visible) = false);
Do(%Label30(visible) = false);

Do(%ComboBox7(visible) = false);

Do(%Button61(visible) = false);
Do(%Button62(visible) = false);
Do(%Button63(visible) = false);
Do(%Button64(visible) = false);
Do(%Button68(visible) = false);
#Do(%Button7(visible) = false);
Do(%Button69(enabled) = false);
Do(%Button70(enabled) = false);
Do(%Button71(enabled) = false);
Do(%Button72(enabled) = false);
Do(%Button73(enabled) = false);
Do(%Button67(visible) = false);
Do(%Button65(visible) = false);
Do(%Button66(visible) = false);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7284" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label26" caption="Coordinate Variables" enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7278" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer60" pixel-width="150" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7279" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Button id="Button61" caption="Set System for Field" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools, StringTools in 

xxxVFconstruct := module()
local q,q1,q2;
export q3;

Do(q = %ComboBox6);
Do(q1 = %MathContainer60);
if type([q1],'list'('list')) then q2:=q1;
elif type([q1],'list') then q2:=[q1];end if;
if q2=NULL then return;end if;

if   q=Cartesian [x,y] then q3 := parse(Join([&quot;cartesian&quot;,convert(q2,string)],&quot;&quot;));
elif q=Cartesian - other then if nops(q2)=2 then q3:=(parse(Join([&quot;cartesian&quot;,convert(q2,string)],&quot;&quot;))) else return;end if;
else if nops(q2)=2 then q3:=(parse(Join([convert(q,string),convert(q2,string)],&quot;&quot;))) else return;end if;
end if;

Do(%MathContainer61 = MathML[Export]([op(0,q3),[op(q3)]]));

Do(%Label27(visible) = true):
Do(%Label28(visible) = true):

Do(%MathContainer62(visible) = true);
Do(%MathContainer63(visible) = true);

Do(%Button62(visible) = true);
Do(%Button63(visible) = true);
Do(%Button64(visible) = true);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7283" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer61" pixel-width="250" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;cartesian&lt;/mi&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="all" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="269" separator="true"></Table-Column><Table-Column weight="269" separator="true"></Table-Column><Table-Column weight="73" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7282" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-Label id="Label27" caption=" Vector Field - First Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7260" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer62" pixel-width="250" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button62" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer62 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7286" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-Label id="Label28" caption=" Vector Field - Second Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>          </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7287" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer63" pixel-width="250" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button63" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer63 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7269" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button64" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer62);
Do(q2 = %MathContainer63);

if nops([q1])*nops(q[2])=0 then return;end if;
Do(%ComboBox7(value) = &quot;Select Coordinate System&quot;);
Do(%Label29(visible) = true);
Do(%ComboBox7(visible) = true);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="80" separator="true"></Table-Column><Table-Column weight="120" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7270" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label29" caption=" For Plane Curve: " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-ComboBox id="ComboBox7" enabled="true" visible="true" selecteditem="Cartesian">Select Coordinate System,Cartesian,polar,bipolar,cardioid,cassinian,elliptic,hyperbolic,invcassinian,logarithmic,logcosh,parabolic,rose,tangent<MapleCode action="selection-event-handler">use DocumentTools in 
module()
if GetProperty(ComboBox7,value) = &quot;Select Coordinate System&quot; then
Do(%Label30(visible) = false);
Do(%MathContainer64(visible) = false);
Do(%Label31(visible) = false);
Do(%MathContainer65(visible) = false);
Do(%Label32(visible) = false);
Do(%MathContainer66(visible) = false);
Do(%Button67(visible) = false);

Do(%MathContainer67 = NULL);
Do(%MathContainer67(visible) = false);
Do(%Label33(visible) = false);

Do(%MathContainer68 = NULL);
Do(%MathContainer70 = NULL);
Do(%MathContainer68(visible) = false);
Do(%MathContainer70(visible) = false);
Do(%Button65(visible) = false);
Do(%Button66(visible) = false);
Do(%MathContainer69(visible) = false);
Do(%MathContainer71(visible) = false);
Do(%Label34(visible) = false);
Do(%Label35(visible) = false);

Do(%Button68(visible) = false);

return; 

else
Do(%MathContainer67 = NULL);
Do(%MathContainer67(visible) = false);
Do(%Label33(visible) = false);
Do(%Label30(visible) = true);
Do(%MathContainer64(visible) = true);
Do(%Label31(visible) = true);
Do(%MathContainer65(visible) = true);
Do(%Label32(visible) = true);
Do(%MathContainer66(visible) = true);
Do(%Button67(visible) = true);
Do(%MathContainer68 = NULL);
Do(%MathContainer70 = NULL);

end if;
end module;
end use; 
</MapleCode></EC-ComboBox><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7281" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label30" caption=" Parameter: Name and Bounds " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer64" pixel-width="50" pixel-height="35" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Label id="Label31" caption=" &lt; " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer65" pixel-width="50" pixel-height="35" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Label id="Label32" caption=" &lt; " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer66" pixel-width="50" pixel-height="35" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="2" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7273" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer67" pixel-width="210" pixel-height="70" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;mo lspace='0.2777778em' rspace='0.2777778em'&gt;&amp;equals;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mtable rowalign='baseline' columnalign='center' groupalign='{left}' rowspacing='1.0ex'&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label33" caption=" Position Vector for Curve " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7274" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><EC-MathContainer id="MathContainer68" pixel-width="60" pixel-height="30" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Label id="Label34" caption=" = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer69" pixel-width="160" pixel-height="45" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button65" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer69 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
<Text-field style="Text" layout="Normal"><EC-MathContainer id="MathContainer70" pixel-width="60" pixel-height="30" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Label id="Label35" caption=" = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer71" pixel-width="160" pixel-height="45" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button66" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer71 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7276" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button67" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q,q1,q2,q3,CS;

CS := GetCoordinates();
SetCoordinates(cartesian[x,y]);
q := GetProperty(ComboBox7,value);

if q=&quot;Select Coordinate System&quot; then return;end if;

Do(q1 = %MathContainer64);
Do(q2 = %MathContainer65);
Do(q3 = %MathContainer66);

if nops([q1])*nops([q2])*nops([q3])=0 then return;end if;

Do(%MathContainer67(visible) = true);
Do(%Label33(visible) = true);
Do(%MathContainer68(visible) = true);
Do(%MathContainer70(visible) = true);

if q = &quot;Cartesian&quot; then 
	if q2=x then Do(%MathContainer67 = MathML[Export](R=&lt;x,y(x)&gt;));
				 Do(%MathContainer68 = x);
				 Do(%MathContainer70 = y(x));
				 Do(%MathContainer69 = x);
				 Do(%MathContainer71 = NULL);
	elif q2=y then Do(%MathContainer67 = MathML[Export](R=&lt;x(y),y&gt;));
				 Do(%MathContainer68 = x(y));
				 Do(%MathContainer70 = y);
				 Do(%MathContainer71 = y);
				 Do(%MathContainer69 = NULL);
else
Do(%MathContainer67 = MathML[Export](R=&lt;x(q2),y(q2)&gt;));
Do(%MathContainer68 = x(q2));
Do(%MathContainer70 = y(q2));
Do(%MathContainer69 = NULL);
Do(%MathContainer71 = NULL);
end if;
else Do(%MathContainer67 = MathML[Export](R=&lt;x(u(q2),v(q2)),y(u(q2),v(q2))&gt;));
Do(%MathContainer68 = u(q2));
Do(%MathContainer70 = v(q2));
Do(%MathContainer69 = NULL);
Do(%MathContainer71 = NULL);
end if;

Do(%Label34(visible) = true);
Do(%Label35(visible) = true);
Do(%MathContainer69(visible) = true);
Do(%MathContainer71(visible) = true);
Do(%Button65(visible) = true);
Do(%Button66(visible) = true);
Do(%Button68(visible) = true);
SetCoordinates(CS);
end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7280" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button68" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer69);
Do(q2 = %MathContainer71);

if nops([q1])*nops([q2])=0 then return;end if;

Do(%Button69(enabled) = true);

Do(%MathContainer72(visible) = true);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="170" separator="true"></Table-Column><Table-Column weight="758" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7267" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7271" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button69" caption="Flux Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools, VectorCalculus in 

module()
local q, F1, F2, F, C, U, V,T1,T2, param,CS;

C := GetProperty(ComboBox7,value);
if C = &quot;Select Coordinate System&quot; then return;end if;
if C = &quot;Cartesian&quot; then C:=cartesian;end if;

Do(F1 = %MathContainer62);
Do(F2 = %MathContainer63);
if nops([F1])*nops([F2])=0 then return;end if;
CS := GetCoordinates();

F := VectorField([F1,F2],coords=xxxVFconstruct:-q3);

Do(U = %MathContainer69);
Do(V = %MathContainer71);
Do(param = %MathContainer65);
if nops([U])*nops([V])*nops([param])=0 then return;end if;

Do(T1 = %MathContainer64);
Do(T2 = %MathContainer66);
if nops([T1])*nops([T2])=0 then return;end if;
SetCoordinates(cartesian[x,y]);
try
q := Flux(F, Path(&lt;U,V&gt;,param=T1..T2,parse(C)),inert);
catch:
q := NULL;
finally
SetCoordinates(CS);
end try;

Do(%MathContainer72 = q);
if q&lt;&gt;NULL then
Do(%Button70(enabled) = true);
Do(%Button71(enabled) = true);
Do(%MathContainer73(visible) = true);
end if;

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7277" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7261" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button70" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer72);
if nops([q])=0 then return;end if;
Do(%MathContainer72 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7272" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer72" pixel-width="650" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/msubsup&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="37" separator="true"></Table-Column><Table-Column weight="163" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7263" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button71" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer72);
if nops([q])=0 then return;end if;
Do(%MathContainer73 = value(q));
Do(%Button72(enabled) = true);
Do(%Button73(enabled) = true);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7262" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button72" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer73);
if nops([q])=0 then return;end if;
Do(%MathContainer73 = simplify(q));

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7259" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button73" caption="Float" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer72);
Do(q2 = %MathContainer73);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer73 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer73 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer73 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7264" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer73" pixel-width="650" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mfrac&gt;&lt;mn&gt;8&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7257" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 5</Font>   Flux through an arbitrary plane curve computed by task template</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7247" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1">Flux through a Surface</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7065" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7304" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The <Font bold="true">Flux</Font> command in the <Font italic="true">VectorCalculus</Font> package computes flux of a vector field through curves and surfaces. The syntax for this command varies for each of the two distinct closed surfaces it recognizes (box, sphere), and for the general parametrically defined surface. For such surfaces there are three specific domains the command recognizes (disk, ellipse, triangle), in addition to the general planar domain.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7306" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7298" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The following seven task templates provide simplified interfaces to the <Font bold="true">Flux</Font> command in each of these cases. </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7299" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Box</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7308" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7325" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Table 6 shows the calculation of the flux of the field <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> through the box defined by <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7329" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7330" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="none" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7331" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Flux\342\211\2733-D\342\211\273Through a Box</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="312" separator="true"></Table-Column><Table-Column weight="582" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7404" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]">Flux through a Box</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7402" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="83.38028169014085%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="296" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7407" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">For the Vector Field:</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[153,204,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7426" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button74" caption="Clear All and Reset" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%ComboBox8(value) = &quot;Select Coordinate System&quot;):

Do(%MathContainer74 = NULL);
Do(%MathContainer75 = NULL);
Do(%MathContainer76 = NULL);
Do(%MathContainer77 = NULL);
Do(%MathContainer78 = NULL);
Do(%MathContainer83 = NULL);
Do(%MathContainer84 = NULL);
Do(%MathContainer85 = NULL);
Do(%MathContainer86 = NULL);
Do(%MathContainer79 = NULL);
Do(%MathContainer80 = NULL);
Do(%MathContainer81 = NULL);
Do(%MathContainer82 = NULL);

Do(%MathContainer74(visible) = false);
Do(%MathContainer75(visible) = false);
Do(%MathContainer76(visible) = false);
Do(%MathContainer77(visible) = false);
Do(%MathContainer78(visible) = false);
Do(%MathContainer83(visible) = false);
Do(%MathContainer84(visible) = false);
Do(%MathContainer85(visible) = false);
Do(%MathContainer86(visible) = false);
Do(%MathContainer79(visible) = false);
Do(%MathContainer80(visible) = false);
Do(%MathContainer81(visible) = false);
Do(%MathContainer82(visible) = false);

Do(%Label36(visible) = false);
Do(%Label37(visible) = false);
Do(%Label38(visible) = false);
Do(%Label39(visible) = false);
Do(%Label41(visible) = false);
Do(%Label40(visible) = false);
Do(%Label42(visible) = false);
Do(%Label43(visible) = false);
Do(%Label44(visible) = false);
Do(%Label45(visible) = false);
Do(%Label46(visible) = false);
Do(%Label47(visible) = false);
Do(%Label48(visible) = false);

Do(%Button75(visible) = false);
Do(%Button76(visible) = false);
Do(%Button78(visible) = false);
Do(%Button79(visible) = false);
Do(%Button77(visible) = false);
Do(%Button88(enabled) = false);
Do(%Button89(enabled) = false);
Do(%Button90(enabled) = false);
Do(%Button91(enabled) = false);
Do(%Button92(enabled) = false);

Do(%Button81(visible) = false);
Do(%Button82(visible) = false);
Do(%Button83(visible) = false);
Do(%Button84(visible) = false);
Do(%Button85(visible) = false);
Do(%Button86(visible) = false);
Do(%Button87(visible) = false);
Do(%Button87(visible) = false);
Do(%Button80(visible) = false);

Do(%RadioButton15(visible) = false);
Do(%RadioButton16(visible) = false);
Do(%RadioButton15(value) = true);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7395" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-ComboBox id="ComboBox8" enabled="true" visible="true" selecteditem="Cartesian [x,y,z]">Select Coordinate System,Cartesian [x\134,y\134,z],Cartesian - other,cylindrical,spherical,bipolarcylindrical,bispherical,cardioidal,cardioidcylindrical,casscylindrical,conical,ellcylindrical,hypercylindrical,invcasscylindrical,logcylindrical,logcoshcylindrical,oblatespheroidal,paraboloidal,paracylindrical,prolatespheroidal,rosecylindrical,sixsphere,tangentcylindrical,tangentsphere,toroidal<MapleCode action="selection-event-handler">use DocumentTools in 

module()
local q;

if GetProperty(ComboBox8,value) = &quot;Select Coordinate System&quot; then
Do(%Label36(Visible) = false);
Do(%MathContainer74 =NULL);
Do(%MathContainer74(visible) = false);
Do(%Button75(visible) = false);
Do(%MathContainer75 = NULL);
Do(%MathContainer75(visible) = false);
return;end if;

Do(q = %ComboBox8);

if q=Cartesian [x,y,z] then Do(%MathContainer74=MathML[Export]([x,y,z]));
elif q=Cartesian - other then Do(%MathContainer74 = NULL);
else Do(%MathContainer74 = NULL);
end if:
Do(%MathContainer75 = NULL);

Do(%Label36(visible) = true);
Do(%MathContainer74(visible) = true);
Do(%Button75(visible) = true);
Do(%MathContainer75(visible) = true);

#Do(%MathContainer77 = NULL);
#Do(%MathContainer78 = NULL);

end module;
end use; 
</MapleCode></EC-ComboBox><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7398" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label36" caption=" Coordinate Variables " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7397" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer74" pixel-width="150" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7392" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Button id="Button75" caption="Set System for Field" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools, StringTools in 

xxxVFconstruct := module()
local q,q1,q2;
export q3;

Do(q = %ComboBox8);
Do(q1 = %MathContainer74);
if type([q1],'list'('list')) then q2:=q1;
elif type([q1],'list') then q2:=[q1];end if;
if q2=NULL then return;end if;

if   q=Cartesian [x,y,z] then q3 := parse(Join([&quot;cartesian&quot;,convert(q2,string)],&quot;&quot;));
elif q=Cartesian - other then if nops(q2)=3 then q3:=(parse(Join([&quot;cartesian&quot;,convert(q2,string)],&quot;&quot;))) else return;end if;
else if nops(q2)=3 then q3:=(parse(Join([convert(q,string),convert(q2,string)],&quot;&quot;))) else return;end if;
end if;

Do(%MathContainer75 = MathML[Export]([op(0,q3),[op(q3)]]));

Do(%Label37(visible) = true):
Do(%Label38(visible) = true):
Do(%Label39(visible) = true):

Do(%MathContainer76(visible) = true);
Do(%MathContainer77(visible) = true);
Do(%MathContainer78(visible) = true);


Do(%Button76(visible) = true);
Do(%Button78(visible) = true);
Do(%Button79(visible) = true);
Do(%Button77(visible) = true);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7389" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer75" pixel-width="250" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;cartesian&lt;/mi&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="88.64774624373956%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="420" separator="true"></Table-Column><Table-Column weight="111" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7430" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label37" caption=" Vector Field: First Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7427" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer76" pixel-width="250" pixel-height="60" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button76" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer76 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="3" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7403" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7400" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7396" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7406" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7390" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7422" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7424" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7425" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7410" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7418" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7428" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7429" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7401" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Button id="Button77" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2,q3;

Do(q1 = %MathContainer76);
Do(q2 = %MathContainer77);
Do(q3 = %MathContainer78);

if nops([q1])*nops([q2])*nops([q3])=0 then return;end if;

Do(%Label41(visible) = true);
Do(%Label40(visible) = true);
Do(%Label42(visible) = true);
Do(%Label43(visible) = true);
Do(%Label44(visible) = true);
Do(%Label45(visible) = true);
Do(%Label46(visible) = true);
Do(%Label47(visible) = true);
Do(%Label48(visible) = true);

Do(%MathContainer79(visible) = true);
Do(%MathContainer80(visible) = true);
Do(%MathContainer81(visible) = true);
Do(%MathContainer82(visible) = true);
Do(%MathContainer83(visible) = true);
Do(%MathContainer84(visible) = true);

Do(%Button80(visible) = true);
Do(%Button81(visible) = true);
Do(%Button82(visible) = true);
Do(%Button83(visible) = true);
Do(%Button84(visible) = true);
Do(%Button85(visible) = true);
Do(%Button86(visible) = true);
Do(%Button87(visible) = true);

Do(%RadioButton15(value) = true);
Do(%RadioButton15(visible) = true);
Do(%RadioButton16(visible) = true);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7409" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label38" caption=" Vector Field: Second Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7411" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer77" pixel-width="250" pixel-height="60" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button78" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer77 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7421" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label39" caption=" Vector Field: Third Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7415" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer78" pixel-width="250" pixel-height="60" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button79" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer78 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label40" caption=" a = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer79" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label41" caption=" &lt; x &lt;" enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer80" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label42" caption=" = b " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button80" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer79 = NULL);

end use; 
</MapleCode></EC-Button>         <EC-Button id="Button81" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer80 = NULL);

end use; </MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label43" caption=" c = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer81" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label44" caption=" &lt; y &lt;" enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer82" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label45" caption=" = d " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button82" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer81 = NULL);

end use; </MapleCode></EC-Button>           <EC-Button id="Button83" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer82 = NULL);

end use; </MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[153,204,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label46" caption=" e = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer83" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label47" caption=" &lt; z &lt;" enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer84" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label48" caption=" = f " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button84" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer83 = NULL);

end use; </MapleCode></EC-Button>           <EC-Button id="Button85" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer84 = NULL);

end use; </MapleCode></EC-Button></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[192,192,192]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7399" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button86" caption="Clear All Box Parameters" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer83 = NULL);
Do(%MathContainer84 = NULL);
Do(%MathContainer79 = NULL);
Do(%MathContainer80 = NULL);
Do(%MathContainer81 = NULL);
Do(%MathContainer82 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,0]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7391" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-RadioButton id="RadioButton15" groupname="Group0" caption="N outward" enabled="true" visible="true" selected="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer85 = NULL);
Do(%MathContainer86 = NULL);

end use; 
</MapleCode></EC-RadioButton>   <EC-RadioButton id="RadioButton16" groupname="Group0" caption="N inward" enabled="true" visible="true" selected="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer85 = NULL);
Do(%MathContainer86 = NULL);

end use; 
</MapleCode></EC-RadioButton></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7388" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button87" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2,q3,q4,q5,q6;

Do(q1 = %MathContainer79);
Do(q2 = %MathContainer80);
Do(q3 = %MathContainer81);
Do(q4 = %MathContainer82);
Do(q5 = %MathContainer83);
Do(q6 = %MathContainer84);

if nops([q1])*nops([q2])*nops([q3])*nops([q4])*nops([q5])*nops([q6])=0 then return;end if;

Do(%Button88(enabled) = true);
Do(%MathContainer85(visible) = true);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="99.89327641408751%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="173" separator="true"></Table-Column><Table-Column weight="763" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7405" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7408" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button88" caption="Flux Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools, VectorCalculus in 

module()
local q, F1, F2, F3, F, q1,q2,q3,q4,q5,q6, DIR;

Do(F1 = %MathContainer76);
Do(F2 = %MathContainer77);
Do(F3 = %MathContainer78);

if nops([F1])*nops([F2])*nops([F3])=0 then return;end if;

F := VectorField([F1,F2,F3],coords=xxxVFconstruct:-q3);

Do(q1 = %MathContainer79);
Do(q2 = %MathContainer80);
Do(q3 = %MathContainer81);
Do(q4 = %MathContainer82);
Do(q5 = %MathContainer83);
Do(q6 = %MathContainer84);

if nops([q1])*nops([q2])*nops([q3])*nops([q4])*nops([q5])*nops([q6])=0 then return;end if;

if Do(%RadioButton15) then DIR:=outward; else DIR:=inward;end if;

q := Flux(F,Box(q1..q2,q3..q4,q5..q6,DIR),inert);

Do(%MathContainer85 = q);
Do(%Button89(enabled) = true);
Do(%Button90(enabled) = true);
Do(%Button92(enabled) = true);
Do(%MathContainer86(visible) = true);
Do(%MathContainer86 = NULL);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7414" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7417" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button89" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer85);
if nops([q])=0 then return;end if;
Do(%MathContainer85 = subsop([1,1] = simplify(op([1,1],q)),q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7393" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer85" pixel-width="600" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/msubsup&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msubsup&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="37" separator="true"></Table-Column><Table-Column weight="163" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7423" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button90" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer85);
if nops([q])=0 then return;end if;
Do(%MathContainer86 = NULL);
Do(%MathContainer86 = value(q));
Do(%Button91(enabled) = true);
Do(%Button92(enabled) = true);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7420" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button91" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer86);
if nops([q])=0 then return;end if;
Do(%MathContainer86 = simplify(q));

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7419" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button92" caption="Float" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer85);
Do(q2 = %MathContainer86);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer86 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer86 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer86 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7434" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer86" pixel-width="600" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mfrac&gt;&lt;mn&gt;21&lt;/mn&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7333" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 6</Font>   Flux through a box whose sides are parallel to the coordinate planes</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7307" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Sphere</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7311" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7312" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Table 7 shows the calculation of the flux of the field <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GLDYnUSJrRicvJSVib2xkR0YxL0YwRj0vRjNRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRlZGOQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GLDYnUSJrRicvJSVib2xkR0YxL0YwRj0vRjNRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRlZGOQ==</Equation> through the sphere with center <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNigtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRidGMEY3RjBGNEY0RjQ=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNigtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRidGMEY3RjBGNEY0RjQ=</Equation> and radius 3.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7337" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="none" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7338" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Flux\342\211\2733-D\342\211\273Through a Sphere</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="336" separator="true"></Table-Column><Table-Column weight="632" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7451" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]">Flux through a Sphere</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7449" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="83.38028169014085%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="296" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7454" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">For the Vector Field:</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[153,204,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7472" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button93" caption="Clear All and Reset" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%ComboBox9(value) = &quot;Select Coordinate System&quot;):

Do(%MathContainer87 = NULL);
Do(%MathContainer88 = NULL);
Do(%MathContainer89 = NULL);
Do(%MathContainer90 = NULL);
Do(%MathContainer91 = NULL);
Do(%MathContainer96 = NULL);
Do(%MathContainer97 = NULL);
Do(%MathContainer92 = NULL);
Do(%MathContainer93 = NULL);
Do(%MathContainer94 = NULL);
Do(%MathContainer95 = NULL);

Do(%MathContainer87(visible) = false);
Do(%MathContainer88(visible) = false);
Do(%MathContainer89(visible) = false);
Do(%MathContainer90(visible) = false);
Do(%MathContainer91(visible) = false);
Do(%MathContainer96(visible) = false);
Do(%MathContainer97(visible) = false);
Do(%MathContainer92(visible) = false);
Do(%MathContainer93(visible) = false);
Do(%MathContainer94(visible) = false);
Do(%MathContainer95(visible) = false);

Do(%Label49(visible) = false);
Do(%Label50(visible) = false);
Do(%Label51(visible) = false);
Do(%Label52(visible) = false);
Do(%Label53(visible) = false);
Do(%Label54(visible) = false);
Do(%Label55(visible) = false);
Do(%Label56(visible) = false);
Do(%Label57(visible) = false);

Do(%Button94(visible) = false);
Do(%Button95(visible) = false);
Do(%Button97(visible) = false);
Do(%Button98(visible) = false);
Do(%Button96(visible) = false);
Do(%Button102(enabled) = false);
Do(%Button103(enabled) = false);
Do(%Button104(enabled) = false);
Do(%Button105(enabled) = false);
Do(%Button106(enabled) = false);

Do(%Button99(visible) = false);
Do(%Button100(visible) = false);
Do(%Button101(visible) = false);

Do(%RadioButton17(visible) = false);
Do(%RadioButton18(visible) = false);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7439" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-ComboBox id="ComboBox9" enabled="true" visible="true" selecteditem="Cartesian [x,y,z]">Select Coordinate System,Cartesian [x\134,y\134,z],Cartesian - other,cylindrical,spherical,bipolarcylindrical,bispherical,cardioidal,cardioidcylindrical,casscylindrical,conical,ellcylindrical,hypercylindrical,invcasscylindrical,logcylindrical,logcoshcylindrical,oblatespheroidal,paraboloidal,paracylindrical,prolatespheroidal,rosecylindrical,sixsphere,tangentcylindrical,tangentsphere,toroidal<MapleCode action="selection-event-handler">use DocumentTools in 

module()
local q;

if GetProperty(ComboBox9,value) = &quot;Select Coordinate System&quot; then
Do(%Label49(Visible) = false);
Do(%MathContainer87 =NULL);
Do(%MathContainer87(visible) = false);
Do(%Button94(visible) = false);
Do(%MathContainer88 = NULL);
Do(%MathContainer88(visible) = false);
return;end if;

Do(q = %ComboBox9);

if q=Cartesian [x,y,z] then Do(%MathContainer87=MathML[Export]([x,y,z]));
elif q=Cartesian - other then Do(%MathContainer87 = NULL);
else Do(%MathContainer87 = NULL);
end if:
Do(%MathContainer88 = NULL);

Do(%Label49(visible) = true);
Do(%MathContainer87(visible) = true);
Do(%Button94(visible) = true);
Do(%MathContainer88(visible) = true);

#Do(%MathContainer90 = NULL);
#Do(%MathContainer91 = NULL);

end module;
end use; 
</MapleCode></EC-ComboBox><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7445" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label49" caption=" Coordinate Variables " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7443" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer87" pixel-width="150" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7437" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Button id="Button94" caption="Set System for Field" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools, StringTools in 

xxxVFconstruct := module()
local q,q1,q2;
export q3;

Do(q = %ComboBox9);
Do(q1 = %MathContainer87);
if type([q1],'list'('list')) then q2:=q1;
elif type([q1],'list') then q2:=[q1];end if;
if q2=NULL then return;end if;

if   q=Cartesian [x,y,z] then q3 := parse(Join([&quot;cartesian&quot;,convert(q2,string)],&quot;&quot;));
elif q=Cartesian - other then if nops(q2)=3 then q3:=(parse(Join([&quot;cartesian&quot;,convert(q2,string)],&quot;&quot;))) else return;end if;
else if nops(q2)=2 then q3:=(parse(Join([convert(q,string),convert(q2,string)],&quot;&quot;))) else return;end if;
end if;

Do(%MathContainer88 = MathML[Export]([op(0,q3),[op(q3)]]));

Do(%Label50(visible) = true):
Do(%Label51(visible) = true):
Do(%Label52(visible) = true):

Do(%MathContainer89(visible) = true);
Do(%MathContainer90(visible) = true);
Do(%MathContainer91(visible) = true);


Do(%Button95(visible) = true);
Do(%Button97(visible) = true);
Do(%Button98(visible) = true);
Do(%Button96(visible) = true);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7435" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer88" pixel-width="250" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;cartesian&lt;/mi&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="88.64774624373956%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="420" separator="true"></Table-Column><Table-Column weight="111" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7477" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label50" caption=" Vector Field: First Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7474" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer89" pixel-width="250" pixel-height="60" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button95" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer89 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="3" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7450" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7447" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7440" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7453" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7436" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7468" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7470" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7471" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7457" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7464" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7475" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7476" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7448" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Button id="Button96" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2,q3;

Do(q1 = %MathContainer89);
Do(q2 = %MathContainer90);
Do(q3 = %MathContainer91);

if nops([q1])*nops([q2])*nops([q3])=0 then return;end if;

Do(%Label53(visible) = true);
Do(%Label54(visible) = true);
Do(%Label55(visible) = true);
Do(%Label56(visible) = true);
Do(%Label57(visible) = true);

Do(%MathContainer92(visible) = true);
Do(%MathContainer93(visible) = true);
Do(%MathContainer94(visible) = true);
Do(%MathContainer95(visible) = true);

Do(%Button99(visible) = true);
Do(%Button100(visible) = true);
Do(%Button101(visible) = true);

Do(%RadioButton17(visible) = true);
Do(%RadioButton18(visible) = true);
Do(%RadioButton17(value) = true);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7456" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label51" caption=" Vector Field: Second Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7458" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer90" pixel-width="250" pixel-height="60" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button97" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer90 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7467" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label52" caption=" Vector Field: Third Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7462" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer91" pixel-width="250" pixel-height="60" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button98" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer91 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="226" separator="true"></Table-Column><Table-Column weight="35" separator="false"></Table-Column><Table-Column weight="39" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7446" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label53" caption=" Center (a,b,c): " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>  <EC-Label id="Label54" caption=" a = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer92" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>  <EC-Label id="Label55" caption=" b = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer93" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>  <EC-Label id="Label56" caption=" c = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer94" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>  <EC-Button id="Button99" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer92 = NULL);
Do(%MathContainer93 = NULL);
Do(%MathContainer94 = NULL);

end use; 
</MapleCode></EC-Button>   <EC-Label id="Label57" caption=" Radius = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer95" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>  <EC-Button id="Button100" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer95 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDRi8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDRi8=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7444" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><EC-RadioButton id="RadioButton17" groupname="Group0" caption="N outward" enabled="true" visible="true" selected="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer96 = NULL);
Do(%MathContainer97 = NULL);

end use; 
</MapleCode></EC-RadioButton></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7442" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><EC-RadioButton id="RadioButton18" groupname="Group0" caption="N inward" enabled="true" visible="true" selected="false"><MapleCode action="click-event-handler"></MapleCode></EC-RadioButton></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7441" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Button id="Button101" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2,q3,q4;

Do(q1 = %MathContainer92);
Do(q2 = %MathContainer93);
Do(q3 = %MathContainer94);
Do(q4 = %MathContainer95);

if nops([q1])*nops([q2])*nops([q3])*nops([q4])=0 then return;end if;

Do(%Button102(enabled) = true);
Do(%MathContainer96(visible) = true);

end module;
end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="99.89327641408751%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="173" separator="true"></Table-Column><Table-Column weight="763" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7452" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7455" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button102" caption="Flux Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools, VectorCalculus in 

module()
local q, F1, F2, F3, F, a,b,c,rad, DIR;

Do(F1 = %MathContainer89);
Do(F2 = %MathContainer90);
Do(F3 = %MathContainer91);

if nops([F1])*nops([F2])*nops([F3])=0 then return;end if;

F := VectorField([F1,F2,F3],coords=xxxVFconstruct:-q3);

Do(a = %MathContainer92);
Do(b = %MathContainer93);
Do(c = %MathContainer94);
Do(rad = %MathContainer95);

if nops([a])*nops([b])*nops([c])*nops([rad])=0 then return;end if;
Cent := Vector([a,b,c],coords=cartesian[x,y,z]);

if Do(%RadioButton17) then DIR:=outward else DIR:=inward;end if;
q := Flux(F,Sphere(Cent,rad,DIR),inert);

Do(%MathContainer96 = q);
Do(%Button103(enabled) = true);
Do(%Button104(enabled) = true);
Do(%Button106(enabled) = true);
Do(%MathContainer97(visible) = true);
Do(%MathContainer97 = NULL);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7461" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7463" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button103" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer96);
if nops([q])=0 then return;end if;
Do(%MathContainer96 = subsop([1,1] = simplify(op([1,1],q)),q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7438" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer96" pixel-width="600" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;cos&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;phi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;sin&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;phi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;cos&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;phi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;phi;&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="37" separator="true"></Table-Column><Table-Column weight="163" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7469" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button104" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer96);
if nops([q])=0 then return;end if;
Do(%MathContainer97 = NULL);
Do(%MathContainer97 = value(q));
Do(%Button105(enabled) = true);
Do(%Button106(enabled) = true);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7466" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button105" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer97);
if nops([q])=0 then return;end if;
Do(%MathContainer97 = simplify(q));

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7465" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button106" caption="Float" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer96);
Do(q2 = %MathContainer97);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer97 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer97 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer97 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7481" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer97" pixel-width="600" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;36&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7341" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 7</Font>   Flux through a sphere computed by task template</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7310" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Parametric Surface</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7315" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7314" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Table 8 shows the calculation of the flux of the field <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> through the surface <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> whose domain is the planar region defined by <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>. In this formulation, the surface parameters are <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation> and <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7346" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="none" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7347" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Flux\342\211\2733-D\342\211\273Through a Parametric Surface</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="334" separator="true"></Table-Column><Table-Column weight="631" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7495" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]">Flux through a Parametrically Defined Surface</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7521" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="83.38028169014085%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="296" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7496" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">For the Vector Field:</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[153,204,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7510" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button107" caption="Clear All and Reset" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%ComboBox10(value) = &quot;Select Coordinate System&quot;):
Do(%ComboBox11(value) = &quot;Select Coordinate System&quot;):
Do(%ComboBox11(visible) = false);

Do(%MathContainer98 = NULL);
Do(%MathContainer99 = NULL);
Do(%MathContainer100 = NULL);
Do(%MathContainer101 = NULL);
Do(%MathContainer102 = NULL);
Do(%MathContainer116 = NULL);
Do(%MathContainer117 = NULL);
Do(%MathContainer104 = NULL);
Do(%MathContainer105 = NULL);
Do(%MathContainer106 = NULL);
Do(%MathContainer107 = NULL);
Do(%MathContainer108 = NULL);
Do(%MathContainer109 = NULL);
Do(%MathContainer117 = NULL);
Do(%MathContainer110 = NULL);
Do(%MathContainer111 = NULL);
Do(%MathContainer112 = NULL);
Do(%MathContainer113 = NULL);
Do(%MathContainer114 = NULL);
Do(%MathContainer115 = NULL);
Do(%MathContainer103 = NULL);

Do(%MathContainer98(visible) = false);
Do(%MathContainer99(visible) = false);
Do(%MathContainer100(visible) = false);
Do(%MathContainer101(visible) = false);
Do(%MathContainer102(visible) = false);
Do(%MathContainer116(visible) = false);
Do(%MathContainer117(visible) = false);
Do(%MathContainer104(visible) = false);
Do(%MathContainer105(visible) = false);
Do(%MathContainer106(visible) = false);
Do(%MathContainer107(visible) = false);
Do(%MathContainer108(visible) = false);
Do(%MathContainer109(visible) = false);
Do(%MathContainer110(visible) = false);
Do(%MathContainer111(visible) = false);
Do(%MathContainer112(visible) = false);
Do(%MathContainer113(visible) = false);
Do(%MathContainer114(visible) = false);
Do(%MathContainer115(visible) = false);
Do(%MathContainer103(visible) = false);

Do(%Label58(visible) = false);
Do(%Label59(visible) = false);
Do(%Label60(visible) = false);
Do(%Label61(visible) = false);
Do(%Label62(visible) = false);
Do(%Label64(visible) = false);
Do(%Label65(visible) = false);
Do(%Label63(visible) = false);
Do(%Label66(visible) = false);
Do(%Label67(visible) = false);
Do(%Label68(visible) = false);
Do(%Label69(visible) = false);
Do(%Label70(visible) = false);

Do(%Button108(visible) = false);
Do(%Button109(visible) = false);
Do(%Button111(visible) = false);
Do(%Button112(visible) = false);
Do(%Button110(visible) = false);
Do(%Button118(enabled) = false);
Do(%Button119(enabled) = false);
Do(%Button120(enabled) = false);
Do(%Button121(enabled) = false);
Do(%Button122(enabled) = false);

Do(%Button113(visible) = false);
Do(%Button114(visible) = false);
Do(%Button115(visible) = false);
Do(%Button116(visible) = false);
Do(%Button117(visible) = false);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7517" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-ComboBox id="ComboBox10" enabled="true" visible="true" selecteditem="Cartesian [x,y,z]">Select Coordinate System,Cartesian [x\134,y\134,z],Cartesian - other,cylindrical,spherical,bipolarcylindrical,bispherical,cardioidal,cardioidcylindrical,casscylindrical,conical,ellcylindrical,hypercylindrical,invcasscylindrical,logcylindrical,logcoshcylindrical,oblatespheroidal,paraboloidal,paracylindrical,prolatespheroidal,rosecylindrical,sixsphere,tangentcylindrical,tangentsphere,toroidal<MapleCode action="selection-event-handler">use DocumentTools in 

module()
local q;

if GetProperty(ComboBox10,value) = &quot;Select Coordinate System&quot; then
Do(%Label58(Visible) = false);
Do(%MathContainer98 =NULL);
Do(%MathContainer98(visible) = false);
Do(%Button108(visible) = false);
Do(%MathContainer99 = NULL);
Do(%MathContainer99(visible) = false);
return;end if;

Do(q = %ComboBox10);

if q=Cartesian [x,y,z] then Do(%MathContainer98=MathML[Export]([x,y,z]));
elif q=Cartesian - other then Do(%MathContainer98 = NULL);
else Do(%MathContainer98 = NULL);
end if:
Do(%MathContainer99 = NULL);

Do(%Label58(visible) = true);
Do(%MathContainer98(visible) = true);
Do(%Button108(visible) = true);
Do(%MathContainer99(visible) = true);

#Do(%MathContainer101 = NULL);
#Do(%MathContainer102 = NULL);

end module;
end use; 
</MapleCode></EC-ComboBox><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7520" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label58" caption=" Coordinate Variables " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7519" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer98" pixel-width="150" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7516" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Button id="Button108" caption="Set System for Field" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools, StringTools in 

xxxVFconstruct := module()
local q,q1,q2;
export q3;

Do(q = %ComboBox10);
Do(q1 = %MathContainer98);
if type([q1],'list'('list')) then q2:=q1;
elif type([q1],'list') then q2:=[q1];end if;
if q2=NULL then return;end if;

if   q=Cartesian [x,y,z] then q3 := parse(Join([&quot;cartesian&quot;,convert(q2,string)],&quot;&quot;));
elif q=Cartesian - other then if nops(q2)=3 then q3:=(parse(Join([&quot;cartesian&quot;,convert(q2,string)],&quot;&quot;))) else return;end if;
else if nops(q2)=3 then q3:=(parse(Join([convert(q,string),convert(q2,string)],&quot;&quot;))) else return;end if;
end if;

Do(%MathContainer99 = MathML[Export]([op(0,q3),[op(q3)]]));

Do(%Label59(visible) = true):
Do(%Label60(visible) = true):
Do(%Label61(visible) = true):

Do(%MathContainer100(visible) = true);
Do(%MathContainer101(visible) = true);
Do(%MathContainer102(visible) = true);


Do(%Button109(visible) = true);
Do(%Button111(visible) = true);
Do(%Button112(visible) = true);
Do(%Button110(visible) = true);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7515" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer99" pixel-width="250" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;cartesian&lt;/mi&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="88.64774624373956%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="420" separator="true"></Table-Column><Table-Column weight="111" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7512" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label59" caption=" Vector Field: First Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7511" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer100" pixel-width="250" pixel-height="60" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button109" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer100 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="3" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7490" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7488" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7487" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7485" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7484" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7483" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7529" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7530" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7533" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7535" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7536" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7537" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7489" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Button id="Button110" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2,q3;

Do(q1 = %MathContainer100);
Do(q2 = %MathContainer101);
Do(q3 = %MathContainer102);

if nops([q1])*nops([q2])*nops([q3])=0 then return;end if;

Do(%Label62(visible) = true);

Do(%ComboBox11(value) = &quot;Select Coordinate System&quot;);
Do(%ComboBox11(visible) = true);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7500" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label60" caption=" Vector Field: Second Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7502" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer101" pixel-width="250" pixel-height="60" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button111" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer101 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7508" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label61" caption=" Vector Field: Third Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7503" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer102" pixel-width="250" pixel-height="60" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button112" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer102 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="all" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="132" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="136" separator="true"></Table-Column><Table-Column weight="64" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[51,204,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7522" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label62" caption=" For the Surface: " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7526" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-ComboBox id="ComboBox11" enabled="true" visible="true" selecteditem="Cartesian">Select Coordinate System,Cartesian,cylindrical,spherical,bipolarcylindrical,bispherical,cardioidal,cardioidcylindrical,casscylindrical,conical,ellcylindrical,hypercylindrical,invcasscylindrical,logcylindrical,logcoshcylindrical,oblatespheroidal,paraboloidal,paracylindrical,prolatespheroidal,rosecylindrical,sixsphere,tangentcylindrical,tangentsphere,toroidal<MapleCode action="selection-event-handler">use DocumentTools in 
module()
local q, vars;

if GetProperty(ComboBox11,value) = &quot;Select Coordinate System&quot; then
Do(%Label63(visible) = false);
Do(%Label64(visible) = false);
Do(%Label65(visible) = false);
Do(%Label66(visible) = false);
Do(%Label67(visible) = false);
Do(%Label68(visible) = false);
Do(%Label69(visible) = false);
Do(%Label70(visible) = false);

Do(%MathContainer104(visible) = false);
Do(%MathContainer105(visible) = false);
Do(%MathContainer106(visible) = false);
Do(%MathContainer107(visible) = false);
Do(%MathContainer108(visible) = false);
Do(%MathContainer109(visible) = false);

Do(%Button113(visible) = false);

Do(%MathContainer116 = NULL);
Do(%MathContainer117 = NULL);
Do(%MathContainer110 = NULL);
Do(%MathContainer111 = NULL);
Do(%MathContainer112 = NULL);
Do(%MathContainer113 = NULL);
Do(%MathContainer114 = NULL);
Do(%MathContainer115 = NULL);
Do(%MathContainer103 = NULL);

Do(%MathContainer110(visible) = false);
Do(%MathContainer111(visible) = false);
Do(%MathContainer112(visible) = false);
Do(%MathContainer113(visible) = false);
Do(%MathContainer114(visible) = false);
Do(%MathContainer115(visible) = false);
Do(%MathContainer103(visible) = false);

Do(%Button113(visible) = false);
Do(%Button114(visible) = false);
Do(%Button115(visible) = false);
Do(%Button116(visible) = false);
Do(%Button117(visible) = false);

return; 

else
Do(%MathContainer116 = NULL);
Do(%MathContainer117 = NULL);
Do(%MathContainer110 = NULL);
Do(%MathContainer111 = NULL);
Do(%MathContainer112 = NULL);
Do(%MathContainer113 = NULL);
Do(%MathContainer114 = NULL);
Do(%MathContainer115 = NULL);
Do(%MathContainer103 = NULL);

Do(%Label63(visible) = true);
Do(%Label64(visible) = true);
Do(%Label65(visible) = true);
Do(%Label66(visible) = true);
Do(%Label67(visible) = true);

Do(%MathContainer104(visible) = true);
Do(%MathContainer105(visible) = true);
Do(%MathContainer106(visible) = true);
Do(%MathContainer107(visible) = true);
Do(%MathContainer108(visible) = true);
Do(%MathContainer109(visible) = true);
Do(%MathContainer103(visible) = true);

Do(%Button113(visible) = true);

end if;

q := GetProperty(ComboBox11,value);

if   q=&quot;Cartesian&quot;   then vars:=[x,y,z];
elif q=&quot;cylindrical&quot; then vars:=[r,theta,z];
elif q=&quot;spherical&quot;   then vars:=[rho,phi,theta];
else vars:=[u,v,w];
end if;
Do(%MathContainer103 = vars);

end module;
end use; 
</MapleCode></EC-ComboBox></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7523" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer103" pixel-width="100" pixel-height="35" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo separator='true' lspace='0.0em' rspace='0.3333333em'&gt;&amp;comma;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo separator='true' lspace='0.0em' rspace='0.3333333em'&gt;&amp;comma;&lt;/mo&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[51,204,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7524" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label63" caption=" Parameters: Names and Bounds " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer104" pixel-width="70" pixel-height="35" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Label id="Label64" caption=" &lt; " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer105" pixel-width="70" pixel-height="35" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Label id="Label65" caption=" &lt; " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer106" pixel-width="70" pixel-height="35" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7525" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer107" pixel-width="70" pixel-height="35" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Label id="Label66" caption=" &lt; " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer108" pixel-width="70" pixel-height="35" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Label id="Label67" caption=" &lt; " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer109" pixel-width="70" pixel-height="35" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7513" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button113" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q,q1,q2,q3,q4,q5,q6,R1,R2,R3,C1,C2,C3;

q := GetProperty(ComboBox11,value);

if q=&quot;Select Coordinate System&quot; then return;end if;

Do(q1 = %MathContainer104);
Do(q2 = %MathContainer105);
Do(q3 = %MathContainer106);
Do(q4 = %MathContainer107);
Do(q5 = %MathContainer108);
Do(q6 = %MathContainer109);

if nops([q1])*nops([q2])*nops([q3])*nops([q4])*nops([q5])*nops([q6])=0 then return;end if;

if q2=q5 then return;end if;

Do(%MathContainer110(visible) = true);
Do(%MathContainer112(visible) = true);
Do(%MathContainer114(visible) = true);

if q=&quot;Cartesian&quot; then
if q2=x or q5=x then R1:=x;C1:=x; else R1:=x(q2,q5);C1:=NULL;end if;
if q2=y or q5=y then R2:=y;C2:=y; else R2:=y(q2,q5);C2:=NULL;end if;
if q2=z or q5=z then R3:=z;C3:=z; else R3:=z(q2,q5);C3:=NULL;end if;

elif q=&quot;cylindrical&quot; then
if q2=r or q5=r then R1:=r;C1:=r; else R1:=r(q2,q5);C1:=NULL;end if;
if q2=theta or q5=theta then R2:=theta;C2:=theta; else R2:=theta(q2,q5);C2:=NULL;end if;
if q2=z or q5=z then R3:=z;C3:=z; else R3:=z(q2,q5);C3:=NULL;end if;

elif q=&quot;spherical&quot; then
if q2=rho or q5=rho then R1:=rho;C1:=rho; else R1:=rho(q2,q5);C1:=NULL;end if;
if q2=phi or q5=phi then R2:=phi;C2:=phi; else R2:=phi(q2,q5);C2:=NULL;end if;
if q2=theta or q5=theta then R3:=theta;C3:=theta; else R3:=theta(q2,q5);C3:=NULL;end if;

else
if q2=u or q5=u then R1:=u;C1:=u; else R1:=u(q2,q5);C1:=NULL;end if;
if q2=v or q5=v then R2:=v;C2:=v; else R2:=v(q2,q5);C2:=NULL;end if;
if q2=w or q5=w then R3:=w;C3:=w; else R3:=w(q2,q5);C3:=NULL;end if;

end if;

Do(%MathContainer110 = R1);
Do(%MathContainer111 = C1);
Do(%MathContainer112 = R2);
Do(%MathContainer113 = C2);
Do(%MathContainer114 = R3);
Do(%MathContainer115 = C3);

Do(%Label68(visible) = true);
Do(%Label69(visible) = true);
Do(%Label70(visible) = true);

Do(%MathContainer111(visible) = true);
Do(%MathContainer113(visible) = true);
Do(%MathContainer115(visible) = true);

Do(%Button114(visible) = true);
Do(%Button115(visible) = true);
Do(%Button116(visible) = true);
Do(%Button117(visible) = true);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="112" separator="true"></Table-Column><Table-Column weight="112" separator="true"></Table-Column><Table-Column weight="112" separator="true"></Table-Column><Table-Column weight="65" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7518" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer110" pixel-width="50" pixel-height="30" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Label id="Label68" caption=" = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer111" pixel-width="50" pixel-height="45" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7491" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer112" pixel-width="50" pixel-height="30" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Label id="Label69" caption=" = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer113" pixel-width="50" pixel-height="45" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7492" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer114" pixel-width="85" pixel-height="30" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo separator='true' lspace='0.0em' rspace='0.3333333em'&gt;&amp;comma;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Label id="Label70" caption=" = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer115" pixel-width="50" pixel-height="45" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7493" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="false"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7494" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="right"><EC-Button id="Button114" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer111 = NULL);

end use; 
</MapleCode></EC-Button>        </Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7497" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="right"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Button id="Button115" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer113 = NULL);

end use; 
</MapleCode></EC-Button>         </Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7498" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="right"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Button id="Button116" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer115 = NULL);

end use; 
</MapleCode></EC-Button>       </Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7499" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Button id="Button117" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2,q3;

Do(q1 = %MathContainer111);
Do(q2 = %MathContainer113);
Do(q3 = %MathContainer115);


if nops([q1])*nops([q2])*nops([q3])=0 then return;end if;

Do(%Button118(enabled) = true);

Do(%MathContainer116(visible) = true);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="99.89327641408751%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="173" separator="true"></Table-Column><Table-Column weight="763" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7527" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7501" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button118" caption="Flux Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools, VectorCalculus in 

module()
local q, F1, F2, F3, F, C, pL,pR,PL,PR,p1,p2, X,Y,Z,CS;

CS := GetCoordinates();

Do(F1 = %MathContainer100);
Do(F2 = %MathContainer101);
Do(F3 = %MathContainer102);

if nops([F1])*nops([F2])*nops([F3])=0 then return;end if;

F := VectorField([F1,F2,F3],coords=xxxVFconstruct:-q3);

Do(C = %ComboBox11);
if C=Cartesian then C:=cartesian;end if;

Do(pL = %MathContainer104);
Do(pR = %MathContainer106);
Do(PL = %MathContainer107);
Do(PR = %MathContainer109);
Do(p1 = %MathContainer105);
Do(p2 = %MathContainer108);

Do(X = %MathContainer111);
Do(Y = %MathContainer113);
Do(Z = %MathContainer115);

if nops([X])*nops([Y])*nops([Z])=0 then return;end if;
SetCoordinates(cartesian[x,y,z]);
try
q := Flux(F,Surface(&lt;X,Y,Z&gt;,p1=pL..pR,p2=PL..PR,C),inert);
catch:
q := NULL;
finally
SetCoordinates(CS);
end try;

Do(%MathContainer116 = q);
if q&lt;&gt;NULL then
Do(%Button119(enabled) = true);
Do(%Button120(enabled) = true);
Do(%Button122(enabled) = true):
Do(%MathContainer117(visible) = true);
Do(%MathContainer117 = NULL);
end if;

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7504" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7505" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button119" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer116);
if nops([q])=0 then return;end if;
Do(%MathContainer116 = subsop([1,1] = simplify(op([1,1],q)),q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7486" drawlabel="true">
<Input>
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</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="37" separator="true"></Table-Column><Table-Column weight="163" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7509" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button120" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer116);
if nops([q])=0 then return;end if;
Do(%MathContainer117 = NULL);
Do(%MathContainer117 = value(q));
Do(%Button121(enabled) = true);
Do(%Button122(enabled) = true);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7507" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button121" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer117);
if nops([q])=0 then return;end if;
Do(%MathContainer117 = simplify(q));

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7506" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button122" caption="Float" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer116);
Do(q2 = %MathContainer117);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer117 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer117 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer117 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
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<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer117" pixel-width="600" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mfrac&gt;&lt;mn&gt;2231&lt;/mn&gt;&lt;mn&gt;7560&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7350" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 8</Font>   Flux through a parametrically defined surface</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7345" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
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</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Surface Defined over a Disk</Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
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<Input>
<Text-field style="Text" layout="Normal">Table 9 shows the calculation of the flux of the field <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GLDYnUSJrRicvJSVib2xkR0YxL0YwRj0vRjNRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRlZGOQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GLDYnUSJrRicvJSVib2xkR0YxL0YwRj0vRjNRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRlZGOQ==</Equation> through the surface <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> whose domain is the disk with center <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRidGMEY0RjRGNA==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRidGMEY0RjRGNA==</Equation> and radius 3. In this formulation, the surface parameters are <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation> and <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation>, but in the flux integral, coordinates are automatically changed to polar to accommodate the domain of the surface.</Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Flux\342\211\2733-D\342\211\273Through a Surface Defined over a Disk</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="328" separator="true"></Table-Column><Table-Column weight="616" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7557" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]">Flux through a Surface Defined over a Disk</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7582" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="83.38028169014085%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="296" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7558" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">For the Vector Field:</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[153,204,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7569" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button123" caption="Clear All and Reset" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%ComboBox12(value) = &quot;Select Coordinate System&quot;):

Do(%MathContainer118 = NULL);
Do(%MathContainer119 = NULL);
Do(%MathContainer120 = NULL);
Do(%MathContainer121 = NULL);
Do(%MathContainer122 = NULL);
Do(%MathContainer130 = NULL);
Do(%MathContainer131 = NULL);
Do(%MathContainer124 = NULL);
Do(%MathContainer125 = NULL);
Do(%MathContainer126 = NULL);
Do(%MathContainer127 = NULL);
Do(%MathContainer128 = NULL);
Do(%MathContainer129 = NULL);
Do(%MathContainer129 = NULL);
Do(%MathContainer123 = NULL);

Do(%MathContainer118(visible) = false);
Do(%MathContainer119(visible) = false);
Do(%MathContainer120(visible) = false);
Do(%MathContainer121(visible) = false);
Do(%MathContainer122(visible) = false);
Do(%MathContainer130(visible) = false);
Do(%MathContainer131(visible) = false);
Do(%MathContainer124(visible) = false);
Do(%MathContainer125(visible) = false);
Do(%MathContainer126(visible) = false);
Do(%MathContainer127(visible) = false);
Do(%MathContainer128(visible) = false);
Do(%MathContainer129(visible) = false);
Do(%MathContainer123(visible) = false);

Do(%Label71(visible) = false);
Do(%Label72(visible) = false);
Do(%Label73(visible) = false);
Do(%Label74(visible) = false);
Do(%Label75(visible) = false);
Do(%Label77(visible) = false);
Do(%Label78(visible) = false);
Do(%Label79(visible) = false);
Do(%Label81(visible) = false);
Do(%Label82(visible) = false);
Do(%Label83(visible) = false);
Do(%Label84(visible) = false);
Do(%Label85(visible) = false);
Do(%Label80(visible) = false);
Do(%Label76(visible) = false);

Do(%Button124(visible) = false);
Do(%Button125(visible) = false);
Do(%Button127(visible) = false);
Do(%Button128(visible) = false);
Do(%Button126(visible) = false);
Do(%Button135(enabled) = false);
Do(%Button136(enabled) = false);
Do(%Button137(enabled) = false);
Do(%Button138(enabled) = false);
Do(%Button139(enabled) = false);
Do(%Button130(visible) = false);
Do(%Button131(visible) = false);
Do(%Button132(visible) = false);
Do(%Button133(visible) = false);
Do(%Button134(visible) = false);
Do(%Button129(visible) = false);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7575" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-ComboBox id="ComboBox12" enabled="true" visible="true" selecteditem="Cartesian [x,y,z]">Select Coordinate System,Cartesian [x\134,y\134,z],Cartesian - other,cylindrical,spherical,bipolarcylindrical,bispherical,cardioidal,cardioidcylindrical,casscylindrical,conical,ellcylindrical,hypercylindrical,invcasscylindrical,logcylindrical,logcoshcylindrical,oblatespheroidal,paraboloidal,paracylindrical,prolatespheroidal,rosecylindrical,sixsphere,tangentcylindrical,tangentsphere,toroidal<MapleCode action="selection-event-handler">use DocumentTools in 

module()
local q;

if GetProperty(ComboBox12,value) = &quot;Select Coordinate System&quot; then
Do(%Label71(Visible) = false);
Do(%MathContainer118 =NULL);
Do(%MathContainer118(visible) = false);
Do(%Button124(visible) = false);
Do(%MathContainer119 = NULL);
Do(%MathContainer119(visible) = false);
return;end if;

Do(q = %ComboBox12);

if q=Cartesian [x,y,z] then Do(%MathContainer118=MathML[Export]([x,y,z]));
elif q=Cartesian - other then Do(%MathContainer118 = NULL);
else Do(%MathContainer118 = NULL);
end if:
Do(%MathContainer119 = NULL);

Do(%Label71(visible) = true);
Do(%MathContainer118(visible) = true);
Do(%Button124(visible) = true);
Do(%MathContainer119(visible) = true);

#Do(%MathContainer121 = NULL);
#Do(%MathContainer122 = NULL);

end module;
end use; 
</MapleCode></EC-ComboBox><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7577" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label71" caption=" Coordinate Variables " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7576" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer118" pixel-width="150" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7574" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-Button id="Button124" caption="Set System for Field" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools, StringTools in 

xxxVFconstruct := module()
local q,q1,q2;
export q3;

Do(q = %ComboBox12);
Do(q1 = %MathContainer118);
if type([q1],'list'('list')) then q2:=q1;
elif type([q1],'list') then q2:=[q1];end if;
if q2=NULL then return;end if;

if   q=Cartesian [x,y,z] then q3 := parse(Join([&quot;cartesian&quot;,convert(q2,string)],&quot;&quot;));
elif q=Cartesian - other then if nops(q2)=3 then q3:=(parse(Join([&quot;cartesian&quot;,convert(q2,string)],&quot;&quot;))) else return;end if;
else if nops(q2)=3 then q3:=(parse(Join([convert(q,string),convert(q2,string)],&quot;&quot;))) else return;end if;
end if;

Do(%MathContainer119 = MathML[Export]([op(0,q3),[op(q3)]]));

Do(%Label72(visible) = true):
Do(%Label73(visible) = true):
Do(%Label74(visible) = true):

Do(%MathContainer120(visible) = true);
Do(%MathContainer121(visible) = true);
Do(%MathContainer122(visible) = true);


Do(%Button125(visible) = true);
Do(%Button127(visible) = true);
Do(%Button128(visible) = true);
Do(%Button126(visible) = true);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7573" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer119" pixel-width="250" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;cartesian&lt;/mi&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="88.64774624373956%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="420" separator="true"></Table-Column><Table-Column weight="111" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7571" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-Label id="Label72" caption=" Vector Field: First Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7570" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer120" pixel-width="250" pixel-height="60" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button125" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer120 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="3" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7555" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7551" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7548" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7545" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7543" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7541" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7589" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7590" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7593" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7595" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7596" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7597" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7553" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-Button id="Button126" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2,q3;

Do(q1 = %MathContainer120);
Do(q2 = %MathContainer121);
Do(q3 = %MathContainer122);

if nops([q1])*nops([q2])*nops([q3])=0 then return;end if;

Do(%Label75(visible) = true);
Do(%Label76(visible) = true);

Do(%MathContainer123(visible) = true);

Do(%Button129(visible) = true);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7559" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-Label id="Label73" caption=" Vector Field: Second Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7561" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer121" pixel-width="250" pixel-height="60" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button127" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer121 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7567" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-Label id="Label74" caption=" Vector Field: Third Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7562" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer122" pixel-width="250" pixel-height="60" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button128" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer122 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="all" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="257" separator="true"></Table-Column><Table-Column weight="261" separator="true"></Table-Column><Table-Column weight="263" separator="true"></Table-Column><Table-Column weight="155" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="2" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7556" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label75" caption=" Define Surface Parametrically in Cartesian Coordinates [x,y,z] " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>   <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7550" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label76" caption=" Parameters: " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer123" pixel-width="75" pixel-height="45" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo separator='true' lspace='0.0em' rspace='0.3333333em'&gt;&amp;comma;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7588" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Button id="Button129" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q, params, R1,R2,R3;

Do(q = %MathContainer123);
if nops([q])=0 then return;end if;

if type([q],'list'('list')) then params:=q;
elif type([q],'list') then params:=[q];end if;
if q=NULL then return;end if;
if nops(params)&lt;&gt;2 then return;end if;
if params[1]=params[2] then return;end if;

Do(%Label77(visible) = true);
Do(%Label78(visible) = true);
Do(%Label79(visible) = true);

Do(%MathContainer124(visible) = true);
Do(%MathContainer125(visible) = true);
Do(%MathContainer126(visible) = true);

Do(%Button130(visible) = true);
Do(%Button131(visible) = true);
Do(%Button132(visible) = true);
Do(%Button133(visible) = true);

if params[1]=x or params[2]=x then R1:=x else R1:=NULL;end if;
if params[1]=y or params[2]=y then R2:=y else R2:=NULL;end if;
if params[1]=z or params[2]=z then R3:=z else R3:=NULL;end if;

Do(%MathContainer124 = R1);
Do(%MathContainer125 = R2);
Do(%MathContainer126 = R3);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7581" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label77" caption=" x -&gt; " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer124" pixel-width="120" pixel-height="45" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer> <EC-Button id="Button130" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer124 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7578" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label78" caption=" y -&gt; " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer125" pixel-width="120" pixel-height="45" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer> <EC-Button id="Button131" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer125 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7580" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label79" caption=" z -&gt; " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer126" pixel-width="120" pixel-height="45" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer> <EC-Button id="Button132" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer126 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7579" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button133" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2,q3;

Do(q1 = %MathContainer124);
Do(q2 = %MathContainer125);
Do(q3 = %MathContainer126);

if nops([q1])*nops([q2])*nops([q3])=0 then return;end if;

Do(%Label80(visible) = true);
Do(%Label81(visible) = true);
Do(%Label82(visible) = true);
Do(%Label83(visible) = true);
Do(%Label84(visible) = true);
Do(%Label85(visible) = true);

Do(%MathContainer127(visible) = true);
Do(%MathContainer128(visible) = true);
Do(%MathContainer129(visible) = true);

Do(%Button134(visible) = true);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[51,204,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7544" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label80" caption=" Specify Disk: " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7554" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label81" caption=" Center: (h, k) " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>  </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7552" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label82" caption=" Radius: r " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>   </Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[51,204,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7542" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred">   <EC-Label id="Label83" caption=" h = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer127" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer> <EC-Label id="Label84" caption=" k = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer128" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>   <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[51,204,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7549" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label85" caption=" r = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer129" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7546" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button134" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local X,Y,Z, H,K,R, params;

Do(X = %MathContainer124);
Do(Y = %MathContainer125);
Do(Z = %MathContainer126);
Do(H = %MathContainer127);
Do(K = %MathContainer128);
Do(R = %MathContainer129);

Do(params = %MathContainer123);

if nops([X])*nops([Y])*nops([Z])*nops([H])*nops([K])*nops([R])*nops([params])=0 then return;end if;

Do(%Button135(enabled) = true);
Do(%MathContainer130(visible) = true);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="99.89327641408751%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="173" separator="true"></Table-Column><Table-Column weight="763" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7586" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7560" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button135" caption="Flux Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools, VectorCalculus in 

module()
local q, F1, F2, F3, F, X,Y,Z, H, K, R, Q, params, CS;
CS := GetCoordinates();

Do(F1 = %MathContainer120);
Do(F2 = %MathContainer121);
Do(F3 = %MathContainer122);

if nops([F1])*nops([F2])*nops([F3])=0 then return;end if;

F := VectorField([F1,F2,F3],coords=xxxVFconstruct:-q3);

Do(X = %MathContainer124);
Do(Y = %MathContainer125);
Do(Z = %MathContainer126);
Do(H = %MathContainer127);
Do(K = %MathContainer128);
Do(R = %MathContainer129);
Do(Q = %MathContainer123);

if nops([Q])=0 then return;end if;

if type([Q],'list'('list')) then params:=Q;
elif type([Q],'list') then params:=[Q];end if;
if Q=NULL then return;end if;
if nops(params)&lt;&gt;2 then Do(%MathContainer130 = NULL);Do(%MathContainer131 = NULL);return;end if;
if params[1]=params[2] then Do(%MathContainer130 = NULL);Do(%MathContainer131 = NULL);return;end if;

SetCoordinates(cartesian[x,y,z]);
try
q := Flux(F,Surface(&lt;X,Y,Z&gt;,params=Circle(&lt;H,K&gt;,R,[r,theta])),inert);
catch:
q := NULL;
finally
SetCoordinates(CS);
end try;

Do(%MathContainer130 = q);
if q&lt;&gt;NULL then
Do(%Button136(enabled) = true);
Do(%Button137(enabled) = true);
Do(%Button139(enabled) = true);
Do(%MathContainer131(visible) = true);
Do(%MathContainer131 = NULL);
end if;

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7563" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7564" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button136" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer130);
if nops([q])=0 then return;end if;
Do(%MathContainer130 = subsop([1,1] = simplify(op([1,1],q)),q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7547" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDRi8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDRi8=</Equation><EC-MathContainer id="MathContainer130" pixel-width="600" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;cos&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;sin&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;cos&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;sin&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="37" separator="true"></Table-Column><Table-Column weight="163" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7568" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button137" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer130);
if nops([q])=0 then return;end if;
Do(%MathContainer131 = NULL);
Do(%MathContainer131 = value(q));
Do(%Button138(enabled) = true);
Do(%Button139(enabled) = true);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7566" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button138" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer131);
if nops([q])=0 then return;end if;
Do(%MathContainer131 = simplify(q));

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7565" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button139" caption="Float" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer130);
Do(q2 = %MathContainer131);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer131 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer131 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer131 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7572" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer131" pixel-width="600" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7360" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 9</Font>   Flux through a surface defined over a disk</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7316" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Surface Defined over an Ellipse</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7319" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7665" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Table 10 shows the calculation of the flux of the field <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GLDYnUSJrRicvJSVib2xkR0YxL0YwRj0vRjNRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRlZGOQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GLDYnUSJrRicvJSVib2xkR0YxL0YwRj0vRjNRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRlZGOQ==</Equation> through the surface <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGQUZBLUY+Ni1RIj1GJ0ZBRkMvRkdGRUZIRkpGTEZORlAvRlNRLDAuMjc3Nzc3OGVtRicvRlZGam5GOi1GPjYtUSJ+RidGQUZDRmhuRkhGSkZMRk5GUEZSL0ZWRlRGWEZB">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</Equation> whose domain is the interior of the ellipse <Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUklbXN1cEdGJDYlLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtaUdGJDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEoJm1pbnVzO0YnL0Y7USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZULUkjbW5HRiQ2JFEiMUYnRkFGQUZBLUYjNiUtRlg2JFEiMkYnRkFGN0Y6LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy1GPjYtUSIrRidGQUZDRkZGSEZKRkxGTkZQRlJGVS1GWDYkUSI0RidGQS1GPjYtUSJ+RidGQUZDRkZGSEZKRkxGTkZQL0ZTUSYwLjBlbUYnL0ZWRmdvLUYsNiUtRi82JC1GIzYmLUY0NiVRInlGJ0Y3RjpGPUZXRkFGQUZlbkZqbi1GPjYtUSI9RidGQUZDRkZGSEZKRkxGTkZQL0ZTUSwwLjI3Nzc3NzhlbUYnL0ZWRmZwRldGQQ==</Equation>. In this formulation, the surface parameters are <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation> and <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation>, but in the flux integral, coordinates are automatically changed to polar to accommodate the domain of the surface. Unfortunately, although the Flux integral is written in polar coordinates, Maple uses <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation> for <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation> and <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation> for <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation>.<Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7365" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="none" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7604" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: </Font></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7366" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Vector Calculus\342\211\273Integration\342\211\273Flux\342\211\2733-D\342\211\273Through a Surface Defined over an Ellipse</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="328" separator="true"></Table-Column><Table-Column weight="615" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7615" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]">Flux through a Surface Defined over Interior of an Ellipse</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7644" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="83.38028169014085%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="296" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7618" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">For the Vector Field:</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[153,204,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7631" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button140" caption="Clear All and Reset" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%ComboBox13(value) = &quot;Select Coordinate System&quot;):

Do(%MathContainer132 = NULL);
Do(%MathContainer133 = NULL);
Do(%MathContainer134 = NULL);
Do(%MathContainer135 = NULL);
Do(%MathContainer136 = NULL);
Do(%MathContainer142 = NULL);
Do(%MathContainer141 = NULL);
Do(%MathContainer143 = NULL);
Do(%MathContainer138 = NULL);
Do(%MathContainer139 = NULL);
Do(%MathContainer140 = NULL);
Do(%MathContainer137 = NULL);

Do(%MathContainer132(visible) = false);
Do(%MathContainer133(visible) = false);
Do(%MathContainer134(visible) = false);
Do(%MathContainer135(visible) = false);
Do(%MathContainer136(visible) = false);
Do(%MathContainer142(visible) = false);
Do(%MathContainer143(visible) = false);
Do(%MathContainer141(visible) = false);
Do(%MathContainer138(visible) = false);
Do(%MathContainer139(visible) = false);
Do(%MathContainer140(visible) = false);
Do(%MathContainer137(visible) = false);

Do(%Label86(visible) = false);
Do(%Label87(visible) = false);
Do(%Label88(visible) = false);
Do(%Label89(visible) = false);
Do(%Label96(visible) = false);
Do(%Label97(visible) = false);
Do(%Label90(visible) = false);
Do(%Label92(visible) = false);
Do(%Label93(visible) = false);
Do(%Label94(visible) = false);
Do(%Label91(visible) = false);
Do(%Label95(visible) = false);

Do(%Button141(visible) = false);
Do(%Button142(visible) = false);
Do(%Button144(visible) = false);
Do(%Button145(visible) = false);
Do(%Button143(visible) = false);
Do(%Button153(enabled) = false);
Do(%Button154(enabled) = false);
Do(%Button155(enabled) = false);
Do(%Button156(enabled) = false);
Do(%Button157(enabled) = false);
Do(%Button147(visible) = false);
Do(%Button148(visible) = false);
Do(%Button149(visible) = false);
Do(%Button150(visible) = false);
Do(%Button146(visible) = false);
Do(%Button151(visible) = false);
Do(%Button152(visible) = false);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7637" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-ComboBox id="ComboBox13" enabled="true" visible="true" selecteditem="Cartesian [x,y,z]">Select Coordinate System,Cartesian [x\134,y\134,z],Cartesian - other,cylindrical,spherical,bipolarcylindrical,bispherical,cardioidal,cardioidcylindrical,casscylindrical,conical,ellcylindrical,hypercylindrical,invcasscylindrical,logcylindrical,logcoshcylindrical,oblatespheroidal,paraboloidal,paracylindrical,prolatespheroidal,rosecylindrical,sixsphere,tangentcylindrical,tangentsphere,toroidal<MapleCode action="selection-event-handler">use DocumentTools in 

module()
local q;

if GetProperty(ComboBox13,value) = &quot;Select Coordinate System&quot; then
Do(%Label86(Visible) = false);
Do(%MathContainer132 =NULL);
Do(%MathContainer132(visible) = false);
Do(%Button141(visible) = false);
Do(%MathContainer133 = NULL);
Do(%MathContainer133(visible) = false);
return;end if;

Do(q = %ComboBox13);

if q=Cartesian [x,y,z] then Do(%MathContainer132=MathML[Export]([x,y,z]));
elif q=Cartesian - other then Do(%MathContainer132 = NULL);
else Do(%MathContainer132 = NULL);
end if:
Do(%MathContainer133 = NULL);

Do(%Label86(visible) = true);
Do(%MathContainer132(visible) = true);
Do(%Button141(visible) = true);
Do(%MathContainer133(visible) = true);

#Do(%MathContainer135 = NULL);
#Do(%MathContainer136 = NULL);

end module;
end use; 
</MapleCode></EC-ComboBox><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7639" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label86" caption=" Coordinate Variables " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7638" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer132" pixel-width="150" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7636" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Button id="Button141" caption="Set System for Field" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools, StringTools in 

xxxVFconstruct := module()
local q,q1,q2;
export q3;

Do(q = %ComboBox13);
Do(q1 = %MathContainer132);
if type([q1],'list'('list')) then q2:=q1;
elif type([q1],'list') then q2:=[q1];end if;
if q2=NULL then return;end if;

if   q=Cartesian [x,y,z] then q3 := parse(Join([&quot;cartesian&quot;,convert(q2,string)],&quot;&quot;));
elif q=Cartesian - other then if nops(q2)=3 then q3:=(parse(Join([&quot;cartesian&quot;,convert(q2,string)],&quot;&quot;))) else return;end if;
else if nops(q2)=3 then q3:=(parse(Join([convert(q,string),convert(q2,string)],&quot;&quot;))) else return;end if;
end if;

Do(%MathContainer133 = MathML[Export]([op(0,q3),[op(q3)]]));

Do(%Label87(visible) = true):
Do(%Label88(visible) = true):
Do(%Label89(visible) = true):

Do(%MathContainer134(visible) = true);
Do(%MathContainer135(visible) = true);
Do(%MathContainer136(visible) = true);


Do(%Button142(visible) = true);
Do(%Button144(visible) = true);
Do(%Button145(visible) = true);
Do(%Button143(visible) = true);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7635" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer133" pixel-width="250" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;cartesian&lt;/mi&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="88.64774624373956%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="420" separator="true"></Table-Column><Table-Column weight="111" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7633" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label87" caption=" Vector Field: First Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7632" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer134" pixel-width="250" pixel-height="60" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button142" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer134 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="3" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7613" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7611" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7609" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7607" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7606" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7605" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7651" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7652" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7654" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7656" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7657" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7658" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7612" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Button id="Button143" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2,q3;

Do(q1 = %MathContainer134);
Do(q2 = %MathContainer135);
Do(q3 = %MathContainer136);

if nops([q1])*nops([q2])*nops([q3])=0 then return;end if;

Do(%Label90(visible) = true);
Do(%Label91(visible) = true);

Do(%MathContainer137(visible) = true);

Do(%Button146(visible) = true);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7621" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label88" caption=" Vector Field: Second Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7623" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer135" pixel-width="250" pixel-height="60" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button144" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer135 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7628" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label89" caption=" Vector Field: Third Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7624" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer136" pixel-width="250" pixel-height="60" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button145" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer136 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="all" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="257" separator="true"></Table-Column><Table-Column weight="261" separator="true"></Table-Column><Table-Column weight="263" separator="true"></Table-Column><Table-Column weight="155" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="2" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7614" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label90" caption=" Define Surface Parametrically in Cartesian Coordinates [x,y,z] " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>   <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7610" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label91" caption=" Parameters: " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer137" pixel-width="75" pixel-height="45" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo separator='true' lspace='0.0em' rspace='0.3333333em'&gt;&amp;comma;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7650" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-Button id="Button146" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q, params, R1,R2,R3;

Do(q = %MathContainer137);
if nops([q])=0 then return;end if;

if type([q],'list'('list')) then params:=q;
elif type([q],'list') then params:=[q];end if;
if q=NULL then return;end if;
if nops(params)&lt;&gt;2 then return;end if;
if params[1]=params[2] then return;end if;

Do(%Label92(visible) = true);
Do(%Label93(visible) = true);
Do(%Label94(visible) = true);

Do(%MathContainer138(visible) = true);
Do(%MathContainer139(visible) = true);
Do(%MathContainer140(visible) = true);

Do(%Button147(visible) = true);
Do(%Button148(visible) = true);
Do(%Button149(visible) = true);
Do(%Button150(visible) = true);

if params[1]=x or params[2]=x then R1:=x else R1:=NULL;end if;
if params[1]=y or params[2]=y then R2:=y else R2:=NULL;end if;
if params[1]=z or params[2]=z then R3:=z else R3:=NULL;end if;

Do(%MathContainer138 = R1);
Do(%MathContainer139 = R2);
Do(%MathContainer140 = R3);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7643" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label92" caption=" x -&gt; " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer138" pixel-width="120" pixel-height="45" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer> <EC-Button id="Button147" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer138 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7640" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label93" caption=" y -&gt; " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer139" pixel-width="120" pixel-height="45" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer> <EC-Button id="Button148" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer139 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7642" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label94" caption=" z -&gt; " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer140" pixel-width="120" pixel-height="45" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer> <EC-Button id="Button149" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer140 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7641" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button150" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2,q3;

Do(q1 = %MathContainer138);
Do(q2 = %MathContainer139);
Do(q3 = %MathContainer140);

if nops([q1])*nops([q2])*nops([q3])=0 then return;end if;

Do(%Label96(visible) = true);
Do(%Label97(visible) = true);
Do(%Label95(visible) = true);

Do(%MathContainer141(visible) = true);

Do(%Button151(visible) = true);
Do(%Button152(visible) = true);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="4" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="all" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="152" separator="true"></Table-Column><Table-Column weight="126" separator="true"></Table-Column><Table-Column weight="247" separator="true"></Table-Column><Table-Column weight="120" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[153,204,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7646" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label95" caption=" Equation of Ellipse " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7659" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label96" caption=" in the " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7660" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label97" caption=" Space of the Parameters " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="2" backgroundstyle="1" rowspan="1" fillcolor="[153,204,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7647" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation>  <EC-MathContainer id="MathContainer141" pixel-width="400" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;msup&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;mo lspace='0.2777778em' rspace='0.2777778em'&gt;&amp;equals;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>  <EC-Button id="Button151" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer141 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7645" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button152" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q, q1,q2,q3,q4;

Do(q = %MathContainer141);
Do(q1 = %MathContainer137);
Do(q2 = %MathContainer138);
Do(q3 = %MathContainer139);
Do(q4 = %MathContainer140);

if nops([q])*nops([q1])*nops([q2])*nops([q3])*nops([q4])=0 then return;end if;

Do(%Button153(enabled) = true);

Do(%MathContainer142(visible) = true);


end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="99.89327641408751%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="173" separator="true"></Table-Column><Table-Column weight="763" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7648" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7622" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button153" caption="Flux Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools, VectorCalculus in 

module()
local F1, F2, F3, F, q1, Eq, Y,X,Xm,FLUX,XL,XR, YT, YB, P,Q,R, q2, params, U,V, CS;

CS := GetCoordinates();
Do(F1 = %MathContainer134);
Do(F2 = %MathContainer135);
Do(F3 = %MathContainer136);
Do(P = %MathContainer138);
Do(Q = %MathContainer139);
Do(R = %MathContainer140);
Do(q2 = %MathContainer137);

if nops([F1])*nops([F2])*nops([F3])*nops([P])*nops([Q])*nops([R])*nops([q2])=0 then return;end if;

F := VectorField([F1,F2,F3],coords=xxxVFconstruct:-q3);

if type([q2],'list'('list')) then params:=q2;
elif type([q2],'list') then params:=[q2];end if;
if nops(params)&lt;&gt;2 then Do(%MathContainer142 = NULL);Do(%MathContainer143 = NULL);return;end if;
U := params[1];
V := params[2];
if U=V then Do(%MathContainer142 = NULL);Do(%MathContainer143 = NULL);return;end if;

Do(q1 = %MathContainer141);
if nops([q1])=0 then return;end if;

if type(q1,`=`) then Eq:=lhs(q1)-rhs(q1) else Eq:=q1;end if;
if coeff(Eq,U,2)*coeff(Eq,V,2)=0 then return;end if;

if has(Eq,U*V) then
	if indets(Eq)&lt;&gt;{U,V} then SetCoordinates(CS); return;end if;
Y := solve(Eq,V);
X := [solve(discrim(Eq,V),U)];
	if evalf(X[1])&lt;evalf(X[2]) then XL:=X[1];XR:=X[2]; else XL:=X[2];XR:=X[1];end if;
Xm := (X[1]+X[2])/2;
	if evalf(eval(Y[1],U=Xm))&gt;evalf(eval(Y[2],U=Xm)) then YT:=Y[1];YB:=Y[2]; else YT:=Y[2];YB:=Y[1];end if;

SetCoordinates(cartesian[x,y,z]);
try
FLUX := Flux(F,Surface(&lt;P,Q,R&gt;,params=Region(XL..XR,YB..YT),cartesian),inert);
catch:
FLUX := NULL;
finally
SetCoordinates(CS);
end try;

else
SetCoordinates(cartesian[x,y,z]);
try
FLUX := Flux(F,Surface(&lt;P,Q,R&gt;,params=Ellipse(Eq,[r,theta]),cartesian),inert);
catch:
FLUX := NULL;
finally
SetCoordinates(CS);
end try;

end if;

Do(%MathContainer142 = FLUX);
if FLUX &lt;&gt; NULL then
Do(%Button154(enabled) = true);
Do(%Button155(enabled) = true);
Do(%Button157(enabled) = true);
Do(%MathContainer143(visible) = true);
else Do(%MathContainer143 = NULL);
end if;

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7625" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7626" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button154" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer142);
if nops([q])=0 then return;end if;
Do(%MathContainer142 = subsop([1,1] = simplify(op([1,1],q)),q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7608" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDRi8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDRi8=</Equation><EC-MathContainer id="MathContainer142" pixel-width="600" pixel-height="150" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;tan&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;tan&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;cos&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;sin&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="37" separator="true"></Table-Column><Table-Column weight="163" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7630" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button155" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer142);
if nops([q])=0 then return;end if;
Do(%MathContainer143 = NULL);
Do(%MathContainer143 = value(q));
Do(%Button156(enabled) = true);
Do(%Button157(enabled) = true);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7629" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button156" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer143);
if nops([q])=0 then return;end if;
Do(%MathContainer143 = simplify(q));

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7627" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button157" caption="Float" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer142);
Do(q2 = %MathContainer143);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer143 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer143 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer143 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7634" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer143" pixel-width="600" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7369" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 10</Font>   Flux through a surface defined over the interior of an ellipse</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7318" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Surface Defined over a Triangle</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7321" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7370" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Table 11 shows the calculation of the flux of the field <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GLDYnUSJrRicvJSVib2xkR0YxL0YwRj0vRjNRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRlZGOQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GLDYnUSJrRicvJSVib2xkR0YxL0YwRj0vRjNRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRlZGOQ==</Equation> through the surface <Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGQUZBLUY+Ni1RIj1GJ0ZBRkMvRkdGRUZIRkpGTEZORlAvRlNRLDAuMjc3Nzc3OGVtRicvRlZGam5GOi1GPjYtUSJ+RidGQUZDRmhuRkhGSkZMRk5GUEZSL0ZWRlRGWEZB</Equation> whose domain is the interior of the triangle whose vertices are <Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjE2JFEiMkYnRjRGNEY0RjctRiw2JC1GIzYmLUYxNiRRIjRGJ0Y0RjctRjE2JFEiN0YnRjRGNEY0RjctRiw2JC1GIzYmLUYxNiRRIjNGJ0Y0RjctRjE2JFEiNUYnRjRGNEY0RjQ=</Equation>. In this formulation, the surface parameters are <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation> and <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7374" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="none" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7375" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: 
Vector Calculus\342\211\273Integration\342\211\273Flux\342\211\2733-D\342\211\273Through a Surface Defined over a Triangle</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="328" separator="true"></Table-Column><Table-Column weight="623" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7678" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]">Flux through a Surface Defined over a Triangle</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7704" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="83.38028169014085%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="296" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7679" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">For the Vector Field:</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[153,204,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7690" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button158" caption="Clear All and Reset" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%ComboBox14(value) = &quot;Select Coordinate System&quot;):

Do(%MathContainer144 = NULL);
Do(%MathContainer145 = NULL);
Do(%MathContainer146 = NULL);
Do(%MathContainer147 = NULL);
Do(%MathContainer148 = NULL);
Do(%MathContainer165 = NULL);
Do(%MathContainer166 = NULL);
Do(%MathContainer150 = NULL);
Do(%MathContainer151 = NULL);
Do(%MathContainer152 = NULL);
Do(%MathContainer158 = NULL);
Do(%MathContainer164 = NULL);
Do(%MathContainer149 = NULL);
Do(%MathContainer154 = NULL);
Do(%MathContainer156 = NULL);
Do(%MathContainer160 = NULL);
Do(%MathContainer162 = NULL);
Do(%MathContainer153 = NULL);
Do(%MathContainer159 = NULL);
Do(%MathContainer155 = NULL);
Do(%MathContainer161 = NULL);
Do(%MathContainer157 = NULL);
Do(%MathContainer163 = NULL);

Do(%MathContainer144(visible) = false);
Do(%MathContainer145(visible) = false);
Do(%MathContainer146(visible) = false);
Do(%MathContainer147(visible) = false);
Do(%MathContainer148(visible) = false);
Do(%MathContainer165(visible) = false);
Do(%MathContainer166(visible) = false);
Do(%MathContainer150(visible) = false);
Do(%MathContainer151(visible) = false);
Do(%MathContainer152(visible) = false);
Do(%MathContainer158(visible) = false);
Do(%MathContainer164(visible) = false);
Do(%MathContainer149(visible) = false);
Do(%MathContainer154(visible) = false);
Do(%MathContainer156(visible) = false);
Do(%MathContainer160(visible) = false);
Do(%MathContainer162(visible) = false);
Do(%MathContainer153(visible) = false);
Do(%MathContainer159(visible) = false);
Do(%MathContainer155(visible) = false);
Do(%MathContainer161(visible) = false);
Do(%MathContainer157(visible) = false);
Do(%MathContainer163(visible) = false);

Do(%Label98(visible) = false);
Do(%Label99(visible) = false);
Do(%Label100(visible) = false);
Do(%Label101(visible) = false);
Do(%Label102(visible) = false);
Do(%Label104(visible) = false);
Do(%Label105(visible) = false);
Do(%Label106(visible) = false);
Do(%Label103(visible) = false);
Do(%Label107(visible) = false);
Do(%Label108(visible) = false);
Do(%Label111(visible) = false);
Do(%Label109(visible) = false);
Do(%Label112(visible) = false);
Do(%Label110(visible) = false);
Do(%Label113(visible) = false);

Do(%Button159(visible) = false);
Do(%Button160(visible) = false);
Do(%Button162(visible) = false);
Do(%Button163(visible) = false);
Do(%Button161(visible) = false);
Do(%Button171(enabled) = false);
Do(%Button172(enabled) = false);
Do(%Button173(enabled) = false);
Do(%Button174(enabled) = false);
Do(%Button175(enabled) = false);
Do(%Button165(visible) = false);
Do(%Button166(visible) = false);
Do(%Button167(visible) = false);
Do(%Button168(visible) = false);
Do(%Button170(visible) = false);
Do(%Button164(visible) = false);
Do(%Button169(visible) = false);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7697" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-ComboBox id="ComboBox14" enabled="true" visible="true" selecteditem="Cartesian [x,y,z]">Select Coordinate System,Cartesian [x\134,y\134,z],Cartesian - other,cylindrical,spherical,bipolarcylindrical,bispherical,cardioidal,cardioidcylindrical,casscylindrical,conical,ellcylindrical,hypercylindrical,invcasscylindrical,logcylindrical,logcoshcylindrical,oblatespheroidal,paraboloidal,paracylindrical,prolatespheroidal,rosecylindrical,sixsphere,tangentcylindrical,tangentsphere,toroidal<MapleCode action="selection-event-handler">use DocumentTools in 

module()
local q;

if GetProperty(ComboBox14,value) = &quot;Select Coordinate System&quot; then
Do(%Label98(Visible) = false);
Do(%MathContainer144 =NULL);
Do(%MathContainer144(visible) = false);
Do(%Button159(visible) = false);
Do(%MathContainer145 = NULL);
Do(%MathContainer145(visible) = false);
return;end if;

Do(q = %ComboBox14);

if q=Cartesian [x,y,z] then Do(%MathContainer144=MathML[Export]([x,y,z]));
elif q=Cartesian - other then Do(%MathContainer144 = NULL);
else Do(%MathContainer144 = NULL);
end if:
Do(%MathContainer145 = NULL);

Do(%Label98(visible) = true);
Do(%MathContainer144(visible) = true);
Do(%Button159(visible) = true);
Do(%MathContainer145(visible) = true);

#Do(%MathContainer147 = NULL);
#Do(%MathContainer148 = NULL);

end module;
end use; 
</MapleCode></EC-ComboBox><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7699" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label98" caption=" Coordinate Variables " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7698" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer144" pixel-width="150" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7696" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Button id="Button159" caption="Set System for Field" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools, StringTools in 

xxxVFconstruct := module()
local q,q1,q2;
export q3;

Do(q = %ComboBox14);
Do(q1 = %MathContainer144);
if type([q1],'list'('list')) then q2:=q1;
elif type([q1],'list') then q2:=[q1];end if;
if q2=NULL then return;end if;

if   q=Cartesian [x,y,z] then q3 := parse(Join([&quot;cartesian&quot;,convert(q2,string)],&quot;&quot;));
elif q=Cartesian - other then if nops(q2)=3 then q3:=(parse(Join([&quot;cartesian&quot;,convert(q2,string)],&quot;&quot;))) else return;end if;
else if nops(q2)=3 then q3:=(parse(Join([convert(q,string),convert(q2,string)],&quot;&quot;))) else return;end if;
end if;

Do(%MathContainer145 = MathML[Export]([op(0,q3),[op(q3)]]));

Do(%Label99(visible) = true):
Do(%Label100(visible) = true):
Do(%Label101(visible) = true):

Do(%MathContainer146(visible) = true);
Do(%MathContainer147(visible) = true);
Do(%MathContainer148(visible) = true);


Do(%Button160(visible) = true);
Do(%Button162(visible) = true);
Do(%Button163(visible) = true);
Do(%Button161(visible) = true);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7695" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer145" pixel-width="250" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;cartesian&lt;/mi&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="88.64774624373956%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="420" separator="true"></Table-Column><Table-Column weight="111" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7692" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label99" caption=" Vector Field: First Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7691" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer146" pixel-width="250" pixel-height="60" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button160" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer146 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="3" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7676" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7674" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7672" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7670" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7669" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7666" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7709" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7710" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7712" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7714" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7715" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7716" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7675" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Button id="Button161" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2,q3;

Do(q1 = %MathContainer146);
Do(q2 = %MathContainer147);
Do(q3 = %MathContainer148);

if nops([q1])*nops([q2])*nops([q3])=0 then return;end if;

Do(%Label102(visible) = true);
Do(%Label103(visible) = true);

Do(%MathContainer149(visible) = true);

Do(%Button164(visible) = true);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7680" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label100" caption=" Vector Field: Second Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7682" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer147" pixel-width="250" pixel-height="60" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button162" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer147 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7687" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label101" caption=" Vector Field: Third Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7683" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer148" pixel-width="250" pixel-height="60" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button163" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer148 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="all" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="257" separator="true"></Table-Column><Table-Column weight="261" separator="true"></Table-Column><Table-Column weight="263" separator="true"></Table-Column><Table-Column weight="155" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="2" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7677" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label102" caption=" Define Surface Parametrically in Cartesian Coordinates [x,y,z] " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>   <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7673" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label103" caption=" Parameters: " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer149" pixel-width="75" pixel-height="45" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo separator='true' lspace='0.0em' rspace='0.3333333em'&gt;&amp;comma;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7708" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-Button id="Button164" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q, params, R1,R2,R3;

Do(q = %MathContainer149);
if nops([q])=0 then return;end if;

if type([q],'list'('list')) then params:=q;
elif type([q],'list') then params:=[q];end if;
if q=NULL then return;end if;
if nops(params)&lt;&gt;2 then return;end if;
if params[1]=params[2] then return;end if;

Do(%Label104(visible) = true);
Do(%Label105(visible) = true);
Do(%Label106(visible) = true);

Do(%MathContainer150(visible) = true);
Do(%MathContainer151(visible) = true);
Do(%MathContainer152(visible) = true);

Do(%Button165(visible) = true);
Do(%Button166(visible) = true);
Do(%Button167(visible) = true);
Do(%Button168(visible) = true);

if params[1]=x or params[2]=x then R1:=x else R1:=NULL;end if;
if params[1]=y or params[2]=y then R2:=y else R2:=NULL;end if;
if params[1]=z or params[2]=z then R3:=z else R3:=NULL;end if;

Do(%MathContainer150 = R1);
Do(%MathContainer151 = R2);
Do(%MathContainer152 = R3);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7703" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label104" caption=" x -&gt; " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer150" pixel-width="120" pixel-height="45" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer> <EC-Button id="Button165" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer150 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7700" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label105" caption=" y -&gt; " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer151" pixel-width="120" pixel-height="45" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer> <EC-Button id="Button166" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer151 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7702" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label106" caption=" z -&gt; " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer152" pixel-width="120" pixel-height="45" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer> <EC-Button id="Button167" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer152 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7701" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button168" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2,q3;

Do(q1 = %MathContainer150);
Do(q2 = %MathContainer151);
Do(q3 = %MathContainer152);

if nops([q1])*nops([q2])*nops([q3])=0 then return;end if;

Do(%Label107(visible) = true);
Do(%Label108(visible) = true);
Do(%Label111(visible) = true);
Do(%Label109(visible) = true);
Do(%Label112(visible) = true);
Do(%Label110(visible) = true);
Do(%Label113(visible) = true);

Do(%MathContainer153(visible) = true);
Do(%MathContainer159(visible) = true);
Do(%MathContainer155(visible) = true);
Do(%MathContainer161(visible) = true);
Do(%MathContainer157(visible) = true);
Do(%MathContainer163(visible) = true);
Do(%MathContainer154(visible) = true);
Do(%MathContainer156(visible) = true);
Do(%MathContainer160(visible) = true);
Do(%MathContainer162(visible) = true);
Do(%MathContainer158(visible) = true);
Do(%MathContainer164(visible) = true);

Do(%Button170(visible) = true);
Do(%Button169(visible) = true);

Do(%MathContainer153 = x[1]);
Do(%MathContainer159 = y[1]);
Do(%MathContainer155 = x[2]);
Do(%MathContainer161 = y[2]);
Do(%MathContainer157 = x[3]);
Do(%MathContainer163 = y[3]);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell columnspan="3" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="178" separator="true"></Table-Column><Table-Column weight="192" separator="true"></Table-Column><Table-Column weight="182" separator="true"></Table-Column><Table-Column weight="167" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label107" caption=" Triangle Vertices " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label> </Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[192,192,192]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer153" pixel-width="30" pixel-height="35" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;msub&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Label id="Label108" caption=" = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer154" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[153,204,0]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer155" pixel-width="30" pixel-height="35" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;msub&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Label id="Label109" caption=" = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer156" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer157" pixel-width="30" pixel-height="35" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;msub&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Label id="Label110" caption=" = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer158" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button169" caption="Clear All Vertices" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer154 = NULL);
Do(%MathContainer160 = NULL);
Do(%MathContainer156 = NULL);
Do(%MathContainer162 = NULL);
Do(%MathContainer158 = NULL);
Do(%MathContainer164 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[192,192,192]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer159" pixel-width="30" pixel-height="35" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;msub&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Label id="Label111" caption=" = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer160" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[153,204,0]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer161" pixel-width="30" pixel-height="35" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;msub&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Label id="Label112" caption=" = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer162" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer163" pixel-width="30" pixel-height="35" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;msub&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Label id="Label113" caption=" = " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer164" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field></Table-Cell></Table-Row></Table></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7707" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button170" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local X,Y,Z, params, x1,y1,x2,y2,x3,y3;

Do(X = %MathContainer150);
Do(Y = %MathContainer151);
Do(Z = %MathContainer152);
Do(x1 = %MathContainer154);
Do(y1 = %MathContainer160);
Do(x2 = %MathContainer156);
Do(y2 = %MathContainer162);
Do(x3 = %MathContainer158);
Do(y3 = %MathContainer164);


Do(params = %MathContainer149);

if nops([X])*nops([Y])*nops([Z])*nops([x1])*nops([x2])*nops([x3])*nops([y1])*nops([y2])*nops([y3])*nops([params])=0 then return;end if;

Do(%Button171(enabled) = true);
Do(%MathContainer165(visible) = true);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="99.89327641408751%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="173" separator="true"></Table-Column><Table-Column weight="763" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7706" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7681" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button171" caption="Flux Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools, VectorCalculus in 

module()
local q, F1, F2, F3, F, X,Y,Z, Q, params, x1,y1,x2,y2,x3,y3, V1,V2,V3,CS;
CS := GetCoordinates();
Do(F1 = %MathContainer146);
Do(F2 = %MathContainer147);
Do(F3 = %MathContainer148);

if nops([F1])*nops([F2])*nops([F3])=0 then return;end if;

F := VectorField([F1,F2,F3],coords=xxxVFconstruct:-q3);

Do(Q = %MathContainer149);

if nops([Q])=0 then return;end if;

if type([Q],'list'('list')) then params:=Q;
elif type([Q],'list') then params:=[Q];end if;
if Q=NULL then return;end if;
if nops(params)&lt;&gt;2 then return;end if;
if params[1]=params[2] then return;end if;

Do(X = %MathContainer150);
Do(Y = %MathContainer151);
Do(Z = %MathContainer152);
Do(x1 = %MathContainer154);
Do(y1 = %MathContainer160);
Do(x2 = %MathContainer156);
Do(y2 = %MathContainer162);
Do(x3 = %MathContainer158);
Do(y3 = %MathContainer164);

if nops([X])*nops([Y])*nops([Z])*nops([x1])*nops([x2])*nops([x3])*nops([y1])*nops([y2])*nops([y3])=0 then return;end if;

V1 := Vector([x1,y1],coords=cartesian[x,y]);
V2 := Vector([x2,y2],coords=cartesian[x,y]);
V3 := Vector([x3,y3],coords=cartesian[x,y]);
SetCoordinates(cartesian[x,y,z]);
try
q := Flux(F,Surface(&lt;X,Y,Z&gt;,params=Triangle(V1,V2,V3),cartesian),inert);
catch:
q := NULL;
finally
SetCoordinates(CS);
end try;

Do(%MathContainer165 = q);
if q&lt;&gt;NULL then
Do(%Button172(enabled) = true);
Do(%Button173(enabled) = true);
Do(%Button175(enabled) = true);
else Do(%MathContainer166 = NULL);
end if;

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7684" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7685" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button172" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer165);
if nops([q])=0 then return;end if;
if nops(q)=1 then
Do(%MathContainer165 = subsop([1,1] = simplify(op([1,1],q)),q));
else Do(%MathContainer165 = simplify(q));end if;

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7671" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDRi8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDRi8=</Equation><EC-MathContainer id="MathContainer165" pixel-width="600" pixel-height="130" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="37" separator="true"></Table-Column><Table-Column weight="163" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7689" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button173" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer165);
if nops([q])=0 then return;end if;
Do(%MathContainer166(visible) = true);
Do(%MathContainer166 = NULL);
Do(%MathContainer166 = value(q));
Do(%Button174(enabled) = true);
Do(%Button175(enabled) = true);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7688" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button174" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer166);
if nops([q])=0 then return;end if;
Do(%MathContainer166 = simplify(q));

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7686" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button175" caption="Float" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer165);
Do(q2 = %MathContainer166);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer166 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer166 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer166 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7694" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer166" pixel-width="600" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mfrac&gt;&lt;mn&gt;157&lt;/mn&gt;&lt;mn&gt;24&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7378" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 11</Font>   Flux through a surface defined over the interior of a triangle</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7320" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Surface Defined over a General Planar Region</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7323" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7324" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Table 12 shows the calculation of the flux of the field <Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYyLUkobWZlbmNlZEdGJDYkLUYjNigtSSNtaUdGJDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiK0YnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZRLUYxNiVRInlGJ0Y0RjdGOi1GMTYlUSJ6RidGNEY3Rj5GPi1GOzYtUSJ+RidGPkZARkNGRUZHRklGS0ZNL0ZQUSYwLjBlbUYnL0ZTRmhuLUYxNidRImlGJy8lJWJvbGRHRjYvRjVGQi9GOFElYm9sZEYnLyUrZm9udHdlaWdodEdGYW9GOi1GLDYkLUYjNipGMC1GOzYtUSgmbWludXM7RidGPkZARkNGRUZHRklGS0ZNRk9GUkZURjotSSNtbkdGJDYkUSIyRidGPkZaRldGPkY+RlotRjE2J1EiakYnRl1vRl9vRmBvRmJvRjpGMEZaRlRGWkZXRlotRjE2J1Eia0YnRl1vRl9vRmBvRmJvRj4=</Equation> through the surface <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGQUZBLUY+Ni1RIj1GJ0ZBRkMvRkdGRUZIRkpGTEZORlAvRlNRLDAuMjc3Nzc3OGVtRicvRlZGam5GOi1GPjYtUSJ+RidGQUZDRmhuRkhGSkZMRk5GUEZSL0ZWRlRGWEZB">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</Equation> whose domain is the planar region defined by <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>. In this formulation, the surface parameters are <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation> and <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7383" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="none" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7720" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: </Font></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7384" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Vector Calculus\342\211\273Integration\342\211\273Flux\342\211\2733-D\342\211\273Through a Surface Defined over a Planar Region</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="329" separator="true"></Table-Column><Table-Column weight="616" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7729" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]">Flux through a Surface Defined over a General Planar Region</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="83.38028169014085%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="296" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7730" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">For the Vector Field:</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[153,204,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7741" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button176" caption="Clear All and Reset" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%ComboBox15(value) = &quot;Select Coordinate System&quot;):

Do(%MathContainer167 = NULL);
Do(%MathContainer168 = NULL);
Do(%MathContainer169 = NULL);
Do(%MathContainer170 = NULL);
Do(%MathContainer171 = NULL);
Do(%MathContainer183 = NULL);
Do(%MathContainer184 = NULL);
Do(%MathContainer174 = NULL);
Do(%MathContainer175 = NULL);
Do(%MathContainer176 = NULL);
Do(%MathContainer172 = NULL);
Do(%MathContainer177 = NULL);
Do(%MathContainer178 = NULL);
Do(%MathContainer179 = NULL);
Do(%MathContainer180 = NULL);
Do(%MathContainer181 = NULL);
Do(%MathContainer182 = NULL);
Do(%MathContainer173 = NULL);

Do(%MathContainer167(visible) = false);
Do(%MathContainer168(visible) = false);
Do(%MathContainer169(visible) = false);
Do(%MathContainer170(visible) = false);
Do(%MathContainer171(visible) = false);
Do(%MathContainer183(visible) = false);
Do(%MathContainer184(visible) = false);
Do(%MathContainer174(visible) = false);
Do(%MathContainer175(visible) = false);
Do(%MathContainer176(visible) = false);
Do(%MathContainer172(visible) = false);
Do(%MathContainer177(visible) = false);
Do(%MathContainer178(visible) = false);
Do(%MathContainer179(visible) = false);
Do(%MathContainer180(visible) = false);
Do(%MathContainer181(visible) = false);
Do(%MathContainer182(visible) = false);
Do(%MathContainer173(visible) = false);

Do(%Label114(visible) = false);
Do(%Label115(visible) = false);
Do(%Label116(visible) = false);
Do(%Label117(visible) = false);
Do(%Label126(visible) = false);
Do(%Label127(visible) = false);
Do(%Label118(visible) = false);
Do(%Label122(visible) = false);
Do(%Label123(visible) = false);
Do(%Label124(visible) = false);
Do(%Label120(visible) = false);
Do(%Label125(visible) = false);
Do(%Label128(visible) = false);
Do(%Label129(visible) = false);
Do(%Label130(visible) = false);
Do(%Label131(visible) = false);
Do(%Label132(visible) = false);
Do(%Label119(visible) = false);
Do(%Label121(visible) = false);

Do(%Button177(visible) = false);
Do(%Button178(visible) = false);
Do(%Button180(visible) = false);
Do(%Button181(visible) = false);
Do(%Button179(visible) = false);
Do(%Button189(enabled) = false);
Do(%Button190(enabled) = false);
Do(%Button191(enabled) = false);
Do(%Button192(enabled) = false);
Do(%Button193(enabled) = false);
Do(%Button183(visible) = false);
Do(%Button184(visible) = false);
Do(%Button185(visible) = false);
Do(%Button186(visible) = false);
Do(%Button182(visible) = false);
Do(%Button188(visible) = false);
Do(%Button187(visible) = false);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7748" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-ComboBox id="ComboBox15" enabled="true" visible="true" selecteditem="Cartesian [x,y,z]">Select Coordinate System,Cartesian [x\134,y\134,z],Cartesian - other,cylindrical,spherical,bipolarcylindrical,bispherical,cardioidal,cardioidcylindrical,casscylindrical,conical,ellcylindrical,hypercylindrical,invcasscylindrical,logcylindrical,logcoshcylindrical,oblatespheroidal,paraboloidal,paracylindrical,prolatespheroidal,rosecylindrical,sixsphere,tangentcylindrical,tangentsphere,toroidal<MapleCode action="selection-event-handler">use DocumentTools in 

module()
local q;

if GetProperty(ComboBox15,value) = &quot;Select Coordinate System&quot; then
Do(%Label114(Visible) = false);
Do(%MathContainer167 =NULL);
Do(%MathContainer167(visible) = false);
Do(%Button177(visible) = false);
Do(%MathContainer168 = NULL);
Do(%MathContainer168(visible) = false);
return;end if;

Do(q = %ComboBox15);

if q=Cartesian [x,y,z] then Do(%MathContainer167=MathML[Export]([x,y,z]));
elif q=Cartesian - other then Do(%MathContainer167 = NULL);
else Do(%MathContainer167 = NULL);
end if:
Do(%MathContainer168 = NULL);

Do(%Label114(visible) = true);
Do(%MathContainer167(visible) = true);
Do(%Button177(visible) = true);
Do(%MathContainer168(visible) = true);

#Do(%MathContainer170 = NULL);
#Do(%MathContainer171 = NULL);

end module;
end use; 
</MapleCode></EC-ComboBox><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7751" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label114" caption=" Coordinate Variables " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7749" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer167" pixel-width="150" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7747" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Button id="Button177" caption="Set System for Field" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools, StringTools in 

xxxVFconstruct := module()
local q,q1,q2;
export q3;

Do(q = %ComboBox15);
Do(q1 = %MathContainer167);
if type([q1],'list'('list')) then q2:=q1;
elif type([q1],'list') then q2:=[q1];end if;
if q2=NULL then return;end if;

if   q=Cartesian [x,y,z] then q3 := parse(Join([&quot;cartesian&quot;,convert(q2,string)],&quot;&quot;));
elif q=Cartesian - other then if nops(q2)=3 then q3:=(parse(Join([&quot;cartesian&quot;,convert(q2,string)],&quot;&quot;))) else return;end if;
else if nops(q2)=3 then q3:=(parse(Join([convert(q,string),convert(q2,string)],&quot;&quot;))) else return;end if;
end if;

Do(%MathContainer168 = MathML[Export]([op(0,q3),[op(q3)]]));

Do(%Label115(visible) = true):
Do(%Label116(visible) = true):
Do(%Label117(visible) = true):

Do(%MathContainer169(visible) = true);
Do(%MathContainer170(visible) = true);
Do(%MathContainer171(visible) = true);


Do(%Button178(visible) = true);
Do(%Button180(visible) = true);
Do(%Button181(visible) = true);
Do(%Button179(visible) = true);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7746" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer168" pixel-width="250" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;cartesian&lt;/mi&gt;&lt;mfenced open='[' close=']' separators=','&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="90.70146818923328%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="429" separator="true"></Table-Column><Table-Column weight="127" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7743" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label115" caption=" Vector Field: First Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7742" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer169" pixel-width="250" pixel-height="60" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button178" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer169 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="3" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7728" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7726" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7725" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7723" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7722" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7721" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7767" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7768" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7770" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7771" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7772" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7773" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7727" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Button id="Button179" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2,q3;

Do(q1 = %MathContainer169);
Do(q2 = %MathContainer170);
Do(q3 = %MathContainer171);

if nops([q1])*nops([q2])*nops([q3])=0 then return;end if;

Do(%Label118(visible) = true);
Do(%Label120(visible) = true);
Do(%Label119(visible) = true);

Do(%MathContainer172(visible) = true);

Do(%Button182(visible) = true);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7731" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label116" caption=" Vector Field: Second Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7733" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer170" pixel-width="250" pixel-height="60" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button180" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer170 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7738" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Label id="Label117" caption=" Vector Field: Third Component " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>           </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7734" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer171" pixel-width="250" pixel-height="60" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button181" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer171 = NULL);

end use; 
</MapleCode></EC-Button><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="all" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="257" separator="true"></Table-Column><Table-Column weight="261" separator="true"></Table-Column><Table-Column weight="269" separator="true"></Table-Column><Table-Column weight="149" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7766" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label118" caption=" Define Surface Parametrically " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7765" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label119" caption=" in Cartesian Coordinates [x,y,z] " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="2" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7757" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label120" caption=" Parameters: " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer172" pixel-width="75" pixel-height="45" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo separator='true' lspace='0.0em' rspace='0.3333333em'&gt;&amp;comma;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-Label id="Label121" caption=" =&gt;" enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label> <EC-MathContainer id="MathContainer173" pixel-width="160" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;int;&lt;/mo&gt;&lt;mrow&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;int;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;f&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo separator='true' lspace='0.0em' rspace='0.3333333em'&gt;&amp;comma;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7764" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button182" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q, params, R1,R2,R3;

Do(q = %MathContainer172);
if nops([q])=0 then return;end if;

if type([q],'list'('list')) then params:=q;
elif type([q],'list') then params:=[q];end if;
if q=NULL then return;end if;
if nops(params)&lt;&gt;2 then return;end if;
if params[1]=params[2] then return;end if;

Do(%Label122(visible) = true);
Do(%Label123(visible) = true);
Do(%Label124(visible) = true);
Do(%Label121(visible) = true);

Do(%MathContainer174(visible) = true);
Do(%MathContainer175(visible) = true);
Do(%MathContainer176(visible) = true);
Do(%MathContainer173(visible) = true);

Do(%Button183(visible) = true);
Do(%Button184(visible) = true);
Do(%Button185(visible) = true);
Do(%Button186(visible) = true);

if params[1]=x or params[2]=x then R1:=x else R1:=NULL;end if;
if params[1]=y or params[2]=y then R2:=y else R2:=NULL;end if;
if params[1]=z or params[2]=z then R3:=z else R3:=NULL;end if;

Do(%MathContainer174 = R1);
Do(%MathContainer175 = R2);
Do(%MathContainer176 = R3);
Do(%MathContainer173 = int(int(f(params[1],params[2]),params[2]),params[1]));

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7755" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label122" caption=" x -&gt; " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer174" pixel-width="120" pixel-height="45" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer> <EC-Button id="Button183" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer174 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7752" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label123" caption=" y -&gt; " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer175" pixel-width="120" pixel-height="45" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer> <EC-Button id="Button184" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer175 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7754" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label124" caption=" z -&gt; " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer176" pixel-width="120" pixel-height="45" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer> <EC-Button id="Button185" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer176 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7753" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button186" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q,q1,q2,q3;

Do(q = %MathContainer172);
Do(q1 = %MathContainer174);
Do(q2 = %MathContainer175);
Do(q3 = %MathContainer176);

if nops([q])*nops([q1])*nops([q2])*nops([q3])=0 then return;end if;

Do(%Label126(visible) = true);
Do(%Label127(visible) = true);
Do(%Label125(visible) = true);
Do(%Label128(visible) = true);
Do(%Label129(visible) = true);
Do(%Label130(visible) = true);
Do(%Label131(visible) = true);
Do(%Label132(visible) = true);

Do(%MathContainer177(visible) = true);
Do(%MathContainer178(visible) = true);
Do(%MathContainer179(visible) = true);
Do(%MathContainer180(visible) = true);
Do(%MathContainer181(visible) = true);
Do(%MathContainer182(visible) = true);

Do(%Button188(visible) = true);
Do(%Button187(visible) = true);

if type([q],'list'('list')) then Q:=q;
elif type([q],'list'('name')) then Q:=[q];
else return;end if;

if nops(Q)&lt;&gt;2 then return;end if;

Do(%MathContainer178 = Q[2](Q[1]));
Do(%MathContainer181 = Q[1]);

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="4" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="all" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="122" separator="true"></Table-Column><Table-Column weight="156" separator="true"></Table-Column><Table-Column weight="266" separator="true"></Table-Column><Table-Column weight="101" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[153,204,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7758" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label125" caption=" Provide Bounds for " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7774" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label126" caption=" Supporting Domain " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7775" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label127" caption=" in the Parameter Space " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="2" backgroundstyle="1" rowspan="1" fillcolor="[153,204,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7759" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer177" pixel-width="60" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Label id="Label128" caption=" &lt; " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer178" pixel-width="70" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Label id="Label129" caption=" &lt; " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer179" pixel-width="60" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Label id="Label130" caption=" , " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label>  <EC-MathContainer id="MathContainer180" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Label id="Label131" caption=" &lt; " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer181" pixel-width="40" pixel-height="40" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Label id="Label132" caption=" &lt; " enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><EC-MathContainer id="MathContainer182" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer> <EC-Button id="Button187" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer177 = NULL);
Do(%MathContainer178 = NULL);
Do(%MathContainer179 = NULL);
Do(%MathContainer180 = NULL);
Do(%MathContainer181 = NULL);
Do(%MathContainer182 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7756" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button188" caption="Continue" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2,q3,q4,q5,q6,q7,q8,q9,q10;

Do(q1 = %MathContainer172);
Do(q2 = %MathContainer174);
Do(q3 = %MathContainer175);
Do(q4 = %MathContainer176);
Do(q5 = %MathContainer177);
Do(q6 = %MathContainer178);
Do(q7 = %MathContainer179);
Do(q8 = %MathContainer180);
Do(q9 = %MathContainer181);
Do(q10 = %MathContainer182);

if nops([q1])*nops([q2])*nops([q3])*nops([q4])*nops([q5])*nops([q6])*nops([q7])*nops([q8])*nops([q9])*nops([q10])=0 then return;end if;

Do(%Button189(enabled) = true);

Do(%MathContainer183(visible) = true);


end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="99.89327641408751%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="173" separator="true"></Table-Column><Table-Column weight="763" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7761" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7732" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button189" caption="Flux Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools, VectorCalculus in 

module()
local F1, F2, F3, F, Y,X,Xm,FLUX,XL,XR, YT, YB, P,Q,R, q2, params, U,V, CS;

CS := GetCoordinates();
Do(F1 = %MathContainer169);
Do(F2 = %MathContainer170);
Do(F3 = %MathContainer171);
Do(P = %MathContainer174);
Do(Q = %MathContainer175);
Do(R = %MathContainer176);
Do(q2 = %MathContainer172);

if nops([F1])*nops([F2])*nops([F3])*nops([P])*nops([Q])*nops([R])*nops([q2])=0 then return;end if;

F := VectorField([F1,F2,F3],coords=xxxVFconstruct:-q3);

if type([q2],'list'('list')) then params:=q2;
elif type([q2],'list') then params:=[q2];end if;
if nops(params)&lt;&gt;2 then return;end if;
U := params[1];
V := params[2];

Do(YB = %MathContainer177);
Do(YT = %MathContainer179);
Do(XL = %MathContainer180);
Do(XR = %MathContainer182);

if nops([XL])*nops([XR])*nops([YB])*nops([YT])=0 then return;end if;
SetCoordinates(cartesian[x,y,z]);
try
FLUX := Flux(F,Surface(&lt;P,Q,R&gt;,params=Region(XL..XR,YB..YT),cartesian),inert);
catch:
FLUX := NULL;
finally
SetCoordinates(CS);
end try;

Do(%MathContainer183 = FLUX);
if FLUX&lt;&gt;NULL then
Do(%Button190(enabled) = true);
Do(%Button191(enabled) = true);
Do(%Button193(enabled) = true);
Do(%MathContainer184(visible) = true);
else Do(%MathContainer184 = NULL);
end if;

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7735" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7736" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button190" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer183);
if nops([q])=0 then return;end if;
Do(%MathContainer183 = subsop([1,1] = simplify(op([1,1],q)),q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7724" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDRi8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDRi8=</Equation><EC-MathContainer id="MathContainer183" pixel-width="600" pixel-height="125" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mrow&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mrow&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="37" separator="true"></Table-Column><Table-Column weight="163" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7740" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button191" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer183);
if nops([q])=0 then return;end if;
Do(%MathContainer184 = NULL);
Do(%MathContainer184 = value(q));
Do(%Button192(enabled) = true);
Do(%Button193(enabled) = true);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7739" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button192" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer184);
if nops([q])=0 then return;end if;
Do(%MathContainer184 = simplify(q));

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7737" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"> <EC-Button id="Button193" caption="Float" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer183);
Do(q2 = %MathContainer184);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer184 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer184 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer184 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7745" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer184" pixel-width="600" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mfrac&gt;&lt;mn&gt;2231&lt;/mn&gt;&lt;mn&gt;7560&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7387" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 12</Font>   Flux through a surface defined over an arbitrary planar region</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7322" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7776" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The astute reader will notice a similarity between the calculations in Tables 12 and 8. However, the task template in Table 8 is more general in that it provided for the definition of the surface in more than just the Cartesian coordinate system.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7778" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1">Surface Integration</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7070" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7071" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Closely related to surface flux calculations implemented by the <Font bold="true">Flux</Font> command, Maple's <Font italic="true">VectorCalculus</Font> packages have a <Font bold="true">SurfaceInt</Font> command for computing surface integrals.  Surface flux is just the surface integral of the normal component of a vector field on a surface. The <Font bold="true">Flux</Font> command determines both that normal component and the element of surface area. The <Font bold="true">SurfaceInt</Font> command computes the surface integral of a scalar, and to do so it determines the appropriate surface-area element.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7072" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7779" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">As for the <Font bold="true">Flux</Font> command, the <Font bold="true">SurfaceInt</Font> command recognizes the box and sphere as closed surfaces, and provides for integration over surfaces defined on a disk, ellipse, rectangle, triangle, or arbitrary planar region.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7073" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Box</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7785" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7798" drawlabel="true">
<Input>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Surface Integration\342\211\273Over a Box</Font></Text-field>
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</MapleCode></EC-Button>           <EC-Button id="Button197" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer187 = NULL);

end use; </MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer188" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEmJmxlcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGQy1JI21pR0YkNiVRInlGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRidGK0Yv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEmJmxlcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGQy1JI21pR0YkNiVRInlGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRidGK0Yv</Equation><EC-MathContainer id="MathContainer189" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEiPUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZDLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnRi9GTUZQLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEiPUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZDLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnRi9GTUZQLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGLw==</Equation></Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button198" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer188 = NULL);

end use; </MapleCode></EC-Button>           <EC-Button id="Button199" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer189 = NULL);

end use; </MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer190" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEmJmxlcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGQy1JI21pR0YkNiVRInpGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRidGK0Yv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEmJmxlcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGQy1JI21pR0YkNiVRInpGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRidGK0Yv</Equation><EC-MathContainer id="MathContainer191" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEiPUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZDLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnRi9GTUZQLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEiPUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZDLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnRi9GTUZQLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGLw==</Equation></Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button200" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer190 = NULL);

end use; </MapleCode></EC-Button>           <EC-Button id="Button201" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer191 = NULL);

end use; </MapleCode></EC-Button></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7864" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7860" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button202" caption="Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local Fxyz, q, x1,x2,y1,y2,z1,z2;

Do(Fxyz = %MathContainer185);

Do(x1 = %MathContainer186);
Do(x2 = %MathContainer187);
Do(y1 = %MathContainer188);
Do(y2 = %MathContainer189);
Do(z1 = %MathContainer190);
Do(z2 = %MathContainer191);

if nops([Fxyz])*nops([x1])*nops([x2])*nops([y1])*nops([y2])*nops([z1])*nops([z2])=0 then return;end if;

q := SurfaceInt(Fxyz,[x,y,z]=Box(x1..x2,y1..y2,z1..z2),inert);
Do(%MathContainer192 = q);
Do(%MathContainer193 = NULL);
end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7867" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7870" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button203" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer192);

if nops([q]) = 0 then return;end if;

Do(%MathContainer192 = simplify(q));

end module;
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7872" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer192" pixel-width="700" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mn&gt;11&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;s&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7861" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7871" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button204" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer192);

if nops([q])=0 then return;end if;

Do(%MathContainer193 = NULL);
Do(%MathContainer193 = value(q));

end module;


end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7866" drawlabel="true">
<Input>
<Text-field style="Text" size="8" layout="Normal" alignment="centred"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7868" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button205" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer193);
if nops([q])=0 then return;end if;

Do(%MathContainer193 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7869" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer193" pixel-width="700" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mfrac&gt;&lt;mn&gt;693&lt;/mn&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7859" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button206" caption="Floating-Point Approximation" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer192);
Do(q2 = %MathContainer193);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer193 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer193 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer193 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button>                     <EC-Button id="Button207" caption="Clear All Fields" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer185 = NULL);

Do(%MathContainer186 = NULL);
Do(%MathContainer187 = NULL);
Do(%MathContainer188 = NULL);
Do(%MathContainer189 = NULL);
Do(%MathContainer190 = NULL);
Do(%MathContainer191 = NULL);

Do(%MathContainer192 = NULL);
Do(%MathContainer193 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7804" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 13</Font>   Surface integral of a scalar field over the surface of a box</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7784" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Sphere</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7787" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7978" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Table 14 contains a task template used to compute the surface integral of the scalar function <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> over the surface of the sphere with radius 3 and center <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNigtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRidGMEY3RjBGNEY0RjQ=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNigtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRidGMEY3RjBGNEY0RjQ=</Equation>. The <Font bold="true">SurfaceInt</Font> command automatically writes the integral in spherical coordinates where <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NjY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NjY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation> is the angle measured down from the positive <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation>-axis, and <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation> is the angle measured around that axis. Note that <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnRjUvRjNRJXRydWVGJy9GNlEnaXRhbGljRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUYvNiVRJHNpbkYnRjJGNS1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYvNiVRJyYjOTY2O0YnRjJGNUY1RjVGNQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnRjUvRjNRJXRydWVGJy9GNlEnaXRhbGljRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUYvNiVRJHNpbkYnRjJGNS1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYvNiVRJyYjOTY2O0YnRjJGNUY1RjVGNQ==</Equation>, the surface-area element in spherical coordinates, is automatically inserted into the integrand.<Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7808" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="none" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7811" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Surface Integration\342\211\273Over a Box</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="120" separator="true"></Table-Column><Table-Column weight="796" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7876" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial">Surface Integral on a Sphere</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="128" separator="true"></Table-Column><Table-Column weight="72" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="42" separator="true"></Table-Column><Table-Column weight="158" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal">  <Font bold="true" family="Arial" foreground="[0,0,244]" size="10">Integrand</Font></Text-field>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
<Text-field style="Text" layout="Normal">   <EC-Button id="Button208" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer194 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><EC-MathContainer id="MathContainer194" pixel-width="375" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field></Table-Cell></Table-Row></Table></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">Sphere Radius:</Font> <EC-MathContainer id="MathContainer195" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button209" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer195 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="all" order="row" exterior="all" width="86.71963677639046%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="175" separator="true"></Table-Column><Table-Column weight="186" separator="true"></Table-Column><Table-Column weight="206" separator="true"></Table-Column><Table-Column weight="197" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">Sphere Center:</Font></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5</Equation><EC-MathContainer id="MathContainer196" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button210" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer196 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5</Equation><EC-MathContainer id="MathContainer197" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button211" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer197 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5</Equation><EC-MathContainer id="MathContainer198" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button212" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer198 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7878" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7881" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7874" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button213" caption="Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local Fxyz, q, X,Y,R,Z;

Do(Fxyz = %MathContainer194);
Do(R = %MathContainer195);

Do(X = %MathContainer196);
Do(Y = %MathContainer198);
Do(Z = %MathContainer197);

if nops([Fxyz])*nops([R])*nops([X])*nops([Y])*nops([Z])=0 then return;end if;

q := SurfaceInt(Fxyz,[x,y,z]=Sphere(&lt;X,Y,Z&gt;, R),inert);
Do(%MathContainer199 = q);
Do(%MathContainer200 = NULL);
end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7879" drawlabel="true">
<Input>
<Text-field style="Text" size="8" layout="Normal" alignment="centred"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7885" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button214" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer199);
if nops([q]) = 0 then return;end if;

Do(%MathContainer199 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7887" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer199" pixel-width="700" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mn&gt;27&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;sin&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;phi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;cos&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;sin&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;phi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;sin&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;cos&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;phi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;sin&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;phi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;phi;&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7875" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7886" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button215" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer199);

if nops([q])=0 then return;end if;

Do(%MathContainer200 = NULL);
Do(%MathContainer200 = value(q));
end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7883" drawlabel="true">
<Input>
<Text-field style="Text" size="8" layout="Normal" alignment="centred"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7882" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button216" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer200);
if nops([q]) = 0 then return;end if;

Do(%MathContainer200 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7884" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer200" pixel-width="700" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;108&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7873" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred">       <EC-Button id="Button217" caption="Floating-Point Approximation" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer199);
Do(q2 = %MathContainer200);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer200 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer200 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer200 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button>                             <EC-Button id="Button218" caption="Clear All Fields" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer194 = NULL);
Do(%MathContainer195 = NULL);
Do(%MathContainer196 = NULL);
Do(%MathContainer197 = NULL);
Do(%MathContainer198 = NULL);

Do(%MathContainer199 = NULL);
Do(%MathContainer200 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7810" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 14</Font>   Surface integral of a scalar field over the surface of a sphere</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7786" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Parametric Surface</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7790" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7812" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Table 15 contains a task template used to compute the surface integral of the scalar function <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> over the surface <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJ4RidGL0YyLUY2Ni1RIn5GJ0Y5RjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GVi1GLDYlUSJ5RidGL0YyRjk=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJ4RidGL0YyLUY2Ni1RIn5GJ0Y5RjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GVi1GLDYlUSJ5RidGL0YyRjk=</Equation> whose domain is the planar region bounded by the curves <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JJW1zdXBHRiQ2JS1GLDYlUSJ4RidGL0YyLUYjNiUtSSNtbkdGJDYkUSIyRidGOUYvRjIvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjk=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JJW1zdXBHRiQ2JS1GLDYlUSJ4RidGL0YyLUYjNiUtSSNtbkdGJDYkUSIyRidGOUYvRjIvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjk=</Equation> and <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GIzYlLUYsNiNRIUYnLUkmbXNxcnRHRiQ2Iy1GIzYkLUYsNiVRInhGJ0YvRjJGOUY5RlFGOQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GIzYlLUYsNiNRIUYnLUkmbXNxcnRHRiQ2Iy1GIzYkLUYsNiVRInhGJ0YvRjJGOUY5RlFGOQ==</Equation>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7814" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Surface Integration\342\211\273Over a Box</Font></Text-field>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7894" drawlabel="true">
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<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial">Surface Integral on a Surface Defined</Font> <Font bold="true" family="Arial">Parametrically</Font></Text-field>
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</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="51" separator="true"></Table-Column><Table-Column weight="149" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal">  <Font bold="true" family="Arial" foreground="[0,0,244]" size="10">Integrand</Font></Text-field>
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<Text-field style="Text" layout="Normal">   <EC-Button id="Button219" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer201 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><EC-MathContainer id="MathContainer201" pixel-width="300" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field></Table-Cell></Table-Row></Table></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="51" separator="true"></Table-Column><Table-Column weight="149" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]">
<Text-field style="Text" layout="Normal">   <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
<Text-field style="Text" layout="Normal">   <EC-Button id="Button220" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer202 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]">
<Text-field style="Text" layout="Normal"><EC-MathContainer id="MathContainer202" pixel-width="300" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="110" separator="true"></Table-Column><Table-Column weight="321" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]">
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<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button221" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer203 = NULL);

end use; 
</MapleCode></EC-Button>   </Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]">
<Text-field style="Text" layout="Normal"><EC-MathContainer id="MathContainer203" pixel-width="300" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;v&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field></Table-Cell></Table-Row></Table></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="51" separator="true"></Table-Column><Table-Column weight="149" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]">
<Text-field style="Text" layout="Normal">   <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
<Text-field style="Text" layout="Normal">   <EC-Button id="Button222" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer204 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]">
<Text-field style="Text" layout="Normal"><EC-MathContainer id="MathContainer204" pixel-width="300" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;v&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="94" separator="true"></Table-Column><Table-Column weight="106" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="242" separator="true"></Table-Column><Table-Column weight="219" separator="true"></Table-Column><Table-Column weight="132" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal"><EC-RadioButton id="RadioButton19" groupname="Group0" caption="" enabled="true" visible="true" selected="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%Label133(caption) = h(u));
Do(%Label134(caption) = g(u));

end use; 
</MapleCode></EC-RadioButton><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label133" caption="h(u)" enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkdGMw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkdGMw==</Equation><EC-MathContainer id="MathContainer205" pixel-width="150" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button223" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer205 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiYkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiYkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5</Equation><EC-MathContainer id="MathContainer206" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button224" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer206 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row><Table-Row align="center" separator="false"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal"><EC-RadioButton id="RadioButton20" groupname="Group0" caption="" enabled="true" visible="true" selected="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%Label133(caption) = H(v));
Do(%Label134(caption) = G(v));

end use; 
</MapleCode></EC-RadioButton><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkjbW9HRiQ2LlErJkludGVncmFsO0YnLyUlc2l6ZUdRIzEwRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y3LyUpc3RyZXRjaHlHUSV0cnVlRicvJSpzeW1tZXRyaWNHRjcvJShsYXJnZW9wR0Y8LyUubW92YWJsZWxpbWl0c0dGNy8lJ2FjY2VudEdGNy8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkctSSVtc3ViR0YkNiVGKy1GIzYmLUkjbWlHRiQ2JlEiU0YnRi8vJSdpdGFsaWNHRjwvRjNRJ2l0YWxpY0YnRi8vJTBmb250X3N0eWxlX25hbWVHUSVUZXh0RidGMi8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUZQNiZRImZGJ0YvRlNGVS1GLDYuUSJ+RidGL0YyRjVGOC9GO0Y3Rj0vRkBGN0ZBRkNGRUZILUYsNi9RMCZEaWZmZXJlbnRpYWxEO0YnRi9GU0ZVL0Y2USZ1bnNldEYnL0Y5RmNvL0Y7RmNvL0Y+RmNvL0ZARmNvL0ZCRmNvL0ZERmNvRkVGSC1GUDYmUScmIzk2MztGJ0YvL0ZURjdGMi1GLDYuUSI9RidGL0YyRjVGOEZdb0Y9Rl5vRkFGQy9GRlEsMC4yNzc3Nzc4ZW1GJy9GSUZicEYvRldGMg==">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</Equation><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label134" caption="g(u)" enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkcvJSdpdGFsaWNHUSV0cnVlRicvRjRRJ2l0YWxpY0Yn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkcvJSdpdGFsaWNHUSV0cnVlRicvRjRRJ2l0YWxpY0Yn</Equation><EC-MathContainer id="MathContainer207" pixel-width="150" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button225" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer207 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEYvRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEYvRjI=</Equation><EC-MathContainer id="MathContainer208" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button226" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer208 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7896" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7890" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button227" caption="Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local Fxyz, q, X,Y,Z,A,B,a,b;

Do(Fxyz = %MathContainer201);
Do(X = %MathContainer202);
Do(Y = %MathContainer203);
Do(Z = %MathContainer204);

Do(B = %MathContainer205);
Do(A = %MathContainer207);
Do(b = %MathContainer206);
Do(a = %MathContainer208);

if nops([Fxyz])*nops([X])*nops([Y])*nops([Z])*nops([A])*nops([B])*nops([a])*nops([b])=0 then return;end if;

if Do(%RadioButton19) then 

q := SurfaceInt(Fxyz,[x,y,z]=Surface(&lt;X,Y,Z&gt;, u=a..b,v=A..B),inert);

else q := SurfaceInt(Fxyz,[x,y,z]=Surface(&lt;x,y,Z&gt;, v=a..b,u=A..B),inert);
end if;

Do(%MathContainer209 = q);
Do(%MathContainer210 = NULL);
end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7897" drawlabel="true">
<Input>
<Text-field style="Text" size="8" layout="Normal" alignment="centred"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7892" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button228" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer209);
if nops([q]) = 0 then return;end if;

Do(%MathContainer209 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7901" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer209" pixel-width="700" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mi&gt;v&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;v&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;v&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;v&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7893" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7900" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button229" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local q;

Do(q = %MathContainer209);
if nops([q]) = 0 then return;end if;

Do(%MathContainer210 = NULL);
Do(%MathContainer210 = value(q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7891" drawlabel="true">
<Input>
<Text-field style="Text" size="8" layout="Normal" alignment="centred"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7888" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button230" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer210);
if nops([q]) = 0 then return;end if;

Do(%MathContainer210 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7899" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer210" pixel-width="700" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mn&gt;0.5049103818&lt;/mn&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7889" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred">      <EC-Button id="Button231" caption="Floating-Point Approximation" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer209);
Do(q2 = %MathContainer210);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer210 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer210 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer210 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button>                          <EC-Button id="Button232" caption="Clear All Fields" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer201 = NULL);
Do(%MathContainer202 = NULL);
Do(%MathContainer203 = NULL);
Do(%MathContainer204 = NULL);

Do(%MathContainer205 = NULL);
Do(%MathContainer207 = NULL);
Do(%MathContainer206 = NULL);
Do(%MathContainer208 = NULL);

Do(%RadioButton19(value)=true);
Do(%Label133(caption) = h(u));
Do(%Label134(caption) = g(u));

Do(%MathContainer209 = NULL);
Do(%MathContainer210 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7816" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 15</Font>   Surface integral of a scalar field over a surface defined parametrically</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7813" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7979" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Notice the surface-area element <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> in the integrand. Because of this, Maple can evaluate the inner integral analytically, but the resulting outer integral has to be evaluated numerically. Surface integrals are some of the most difficult integrals in calculus to evaluate in closed form.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7789" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Surface Defined over a Rectangle</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7795" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
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<Input>
<Text-field style="Text" layout="Normal">Table 16 contains a task template used to compute the surface integral of the scalar function <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> over the surface <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJ4RidGL0YyLUY2Ni1RIn5GJ0Y5RjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GVi1GLDYlUSJ5RidGL0YyRjk=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJ4RidGL0YyLUY2Ni1RIn5GJ0Y5RjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GVi1GLDYlUSJ5RidGL0YyRjk=</Equation> whose domain is the rectangle <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>.</Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Surface Integration\342\211\273Over a Box</Font></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial">Surface Integral on a Surface Defined</Font> <Font bold="true" family="Arial">over a Rectangle</Font></Text-field>
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<Text-field style="Text" layout="Normal">  <Font bold="true" family="Arial" foreground="[0,0,244]" size="10">Integrand</Font></Text-field>
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end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer213" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button236" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer213 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer214" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button237" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer214 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer215" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button238" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer215 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer216" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button239" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer216 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7907" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7910" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7903" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button240" caption="Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local Fxyz, q, x1,x2,y1,y2,Z;

Do(Fxyz = %MathContainer211);

Do(x2 = %MathContainer213);
Do(x1 = %MathContainer215);
Do(y2 = %MathContainer214);
Do(y1 = %MathContainer216);
Do(Z = %MathContainer212);


if nops([Fxyz])*nops([x1])*nops([x2])*nops([y1])*nops([y2])*nops([Z])=0 then return;end if;

q := SurfaceInt(Fxyz,[x,y,z]=Surface(&lt;x,y,Z&gt;, [x,y]=Rectangle(x1..x2,y1..y2)),inert);
Do(%MathContainer217 = q);
Do(%MathContainer218 = NULL);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7914" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7908" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button241" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer217);
if nops([q]) = 0 then return;end if;

Do(%MathContainer217 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7916" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer217" pixel-width="700" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7904" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7915" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button242" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local q;

Do(q = %MathContainer217);

if nops([q])=0 then return;end if;

Do(%MathContainer218 = NULL);
Do(%MathContainer218 = value(q));
end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7912" drawlabel="true">
<Input>
<Text-field style="Text" size="8" layout="Normal" alignment="centred"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7911" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button243" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer218);
if nops([q]) = 0 then return;end if;

Do(%MathContainer218 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7913" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer218" pixel-width="700" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mn&gt;40.79684581&lt;/mn&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7902" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred">          <EC-Button id="Button244" caption="Floating-Point Approximation" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer217);
Do(q2 = %MathContainer218);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer218 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer218 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer218 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button>                             <EC-Button id="Button245" caption="Clear All Fields" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer211 = NULL);
Do(%MathContainer213 = NULL);
Do(%MathContainer215 = NULL);
Do(%MathContainer214 = NULL);
Do(%MathContainer216 = NULL);

Do(%MathContainer217 = NULL);
Do(%MathContainer218 = NULL);
Do(%MathContainer212 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7823" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 16</Font>   Surface integral of a scalar field over a surface defined on a rectangle</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7818" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7819" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Notice the surface-area element <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JUYrLUkmbXNxcnRHRiQ2Iy1GIzYoLUkjbW5HRiQ2JFEiMUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIitGJ0Y6LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZDLyUpc3RyZXRjaHlHRkMvJSpzeW1tZXRyaWNHRkMvJShsYXJnZW9wR0ZDLyUubW92YWJsZWxpbWl0c0dGQy8lJ2FjY2VudEdGQy8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRlItSSVtc3VwR0YkNiUtRiw2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnL0Y7USdpdGFsaWNGJy1GIzYlLUY3NiRRIjJGJ0Y6RmVuRmhuLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0Y9LUZWNiUtRiw2JVEieUYnRmVuRmhuRmpuRl9vRjpGOkYrRjo=">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</Equation> in the integrand. Because of this, Maple can evaluate the inner integral analytically, but the resulting outer integral has to be evaluated numerically. Surface integrals are some of the most difficult integrals in calculus to evaluate in closed form.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7820" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Surface Defined over a Disk</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7792" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7825" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Table 17 contains a task template used to compute the surface integral of the scalar function <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYoLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGPS1GLDYlUSJ6RidGL0YyRkFGQS1GPjYtUSI9RidGQUZDL0ZHRkVGSEZKRkxGTkZQL0ZTUSwwLjI3Nzc3NzhlbUYnL0ZWRl1vRjotRj42LVEifkYnRkFGQ0Zbb0ZIRkpGTEZORlBGUi9GVkZULUY+Ni1RIitGJ0ZBRkNGW29GSEZKRkxGTkZQL0ZTUSwwLjIyMjIyMjJlbUYnL0ZWRmdvRlhGY29GZW5GQQ==">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</Equation> over the surface <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJ4RidGL0YyLUY2Ni1RIn5GJ0Y5RjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GVi1GLDYlUSJ5RidGL0YyRjk=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJ4RidGL0YyLUY2Ni1RIn5GJ0Y5RjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GVi1GLDYlUSJ5RidGL0YyRjk=</Equation> whose domain is the disk with center <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjE2JFEiMkYnRjRGNEY0RjQ=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjE2JFEiMkYnRjRGNEY0RjQ=</Equation> and radius 3.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7828" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="none" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7831" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Surface Integration\342\211\273Over a Box</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="120" separator="true"></Table-Column><Table-Column weight="796" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7920" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial">Surface Integral on a Surface Defined</Font> <Font bold="true" family="Arial">over a Disk</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="51" separator="true"></Table-Column><Table-Column weight="149" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal">  <Font bold="true" family="Arial" foreground="[0,0,244]" size="10">Integrand</Font></Text-field>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
<Text-field style="Text" layout="Normal">   <EC-Button id="Button246" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer219 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><EC-MathContainer id="MathContainer219" pixel-width="300" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field></Table-Cell></Table-Row></Table></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="51" separator="true"></Table-Column><Table-Column weight="149" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal">   <Font bold="true" family="Arial" foreground="[0,0,255]" size="10">Surface</Font></Text-field>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
<Text-field style="Text" layout="Normal">   <EC-Button id="Button247" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer220 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><EC-MathContainer id="MathContainer220" pixel-width="300" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="none" order="row" exterior="all" width="95.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="109" separator="true"></Table-Column><Table-Column weight="169" separator="true"></Table-Column><Table-Column weight="187" separator="true"></Table-Column><Table-Column weight="99" separator="true"></Table-Column><Table-Column weight="189" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">Center </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYlLUYjNiYtSSNtaUdGJDYmUSJoRicvJSVzaXplR1EjMTBGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYuUSIsRidGNC9GO1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjkvJSlzdHJldGNoeUdGRS8lKnN5bW1ldHJpY0dGRS8lKGxhcmdlb3BHRkUvJS5tb3ZhYmxlbGltaXRzR0ZFLyUnYWNjZW50R0ZFLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjE2JlEia0YnRjRGN0Y6RkFGNEZBRkE=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYlLUYjNiYtSSNtaUdGJDYmUSJoRicvJSVzaXplR1EjMTBGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYuUSIsRidGNC9GO1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjkvJSlzdHJldGNoeUdGRS8lKnN5bW1ldHJpY0dGRS8lKGxhcmdlb3BHRkUvJS5tb3ZhYmxlbGltaXRzR0ZFLyUnYWNjZW50R0ZFLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjE2JlEia0YnRjRGN0Y6RkFGNEZBRkE=</Equation><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">:</Font></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiaEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiaEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5</Equation><EC-MathContainer id="MathContainer221" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button248" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer221 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5</Equation><EC-MathContainer id="MathContainer222" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button249" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer222 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">Radius:</Font></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]">
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEYvRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEYvRjI=</Equation><EC-MathContainer id="MathContainer223" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button250" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer223 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell columnspan="5" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]">
<Text-field style="Text" layout="Normal"><EC-RadioButton id="RadioButton21" groupname="Group0" caption="Full Disk" enabled="true" visible="true" selected="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer226 = NULL);
Do(%MathContainer227 = NULL);

Do(%MathContainer224 = 0);
Do(%MathContainer225 = 2*Pi);

end use; 
</MapleCode></EC-RadioButton>   <EC-RadioButton id="RadioButton22" groupname="Group0" caption="Sector" enabled="true" visible="true" selected="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer226 = NULL);
Do(%MathContainer227 = NULL);
Do(%MathContainer224 = NULL);
Do(%MathContainer225 = NULL);

end use; 
</MapleCode></EC-RadioButton>                 From <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSUYy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSUYy</Equation><EC-MathContainer id="MathContainer224" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>  to <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSUYy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSUYy</Equation> <EC-MathContainer id="MathContainer225" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>             <EC-Button id="Button251" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer224 = NULL);
Do(%MathContainer225 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7922" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7925" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7918" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button252" caption="Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local Fxyz, q, X,Y,R,Z, T1,T2;

Do(Fxyz = %MathContainer219);
Do(Z = %MathContainer220);

Do(X = %MathContainer221);
Do(Y = %MathContainer222);
Do(R = %MathContainer223);
Do(T1 = %MathContainer224);
Do(T2 = %MathContainer225);

if nops([Fxyz])*nops([Z])*nops([X])*nops([Y])*nops([R])*nops([T1])*nops([T2])=0 then return;end if;

if Do(%RadioButton21) then q:=SurfaceInt(Fxyz, [x,y,z]=Surface(&lt;x,y,Z&gt;, [x,y]=Circle(&lt;X,Y&gt;,R,[r,theta])),inert);
else q := SurfaceInt(Fxyz, [x,y,z]=Surface(&lt;x,y,Z&gt;, [x,y]=Sector(Circle(&lt;X,Y&gt;,R,[r,theta]),T1,T2)),inert);
end if;

Do(%MathContainer226 = q);
Do(%MathContainer227 = NULL);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7923" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7929" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button253" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer226);
if nops([q]) = 0 then return;end if;

Do(%MathContainer226 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7931" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer226" pixel-width="700" pixel-height="125" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;cos&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;sin&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;cos&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;sin&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;sin&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;cos&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7919" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7930" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button254" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local q;

Do(q = %MathContainer226);
if nops([q]) = 0 then return;end if;

Do(%MathContainer227 = NULL);
Do(%MathContainer227 = value(q));
end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7927" drawlabel="true">
<Input>
<Text-field style="Text" size="8" layout="Normal" alignment="centred"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7926" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button255" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer227);
if nops([q]) = 0 then return;end if;

Do(%MathContainer227 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7928" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer227" pixel-width="700" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mn&gt;566.4499552&lt;/mn&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7917" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred">           <EC-Button id="Button256" caption="Floating-Point Approximation" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer226);
Do(q2 = %MathContainer227);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer227 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer227 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer227 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button>                       <EC-Button id="Button257" caption="Clear and Reset" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer219 = NULL);
Do(%MathContainer220 = NULL);
Do(%MathContainer221 = NULL);
Do(%MathContainer222 = NULL);
Do(%MathContainer223 = NULL);

Do(%MathContainer226 = NULL);
Do(%MathContainer227 = NULL);

Do(%RadioButton21 = true);
Do(%MathContainer224 = 0);
Do(%MathContainer225 = 2*Pi);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7830" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 17</Font>   Surface integral of a scalar field over a surface defined on a disk</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7826" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7827" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Maple spends at least five minutes trying to evaluate this integral in closed form, but never succeeds. The calculation was stopped by pressing the Interrupt icon (hexagonal stop-sign with hand superimposed) in the toolbar. The numeric approximation of the integral was obtained by pressing the Floating-Point Approximation button.  As has been noted earlier, surface integrals are some of the most difficult integrals in calculus to evaluate in closed form.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7791" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Surface Defined over an Ellipse</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7793" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7832" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Table 18 contains a task template used to compute the surface integral of the scalar function <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> over the surface <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJ4RidGL0YyLUY2Ni1RIn5GJ0Y5RjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GVi1GLDYlUSJ5RidGL0YyRjk=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJ4RidGL0YyLUY2Ni1RIn5GJ0Y5RjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GVi1GLDYlUSJ5RidGL0YyRjk=</Equation> whose domain is the interior of the ellipse <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>. As with the computation of flux, the surface parameters are <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation> and <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation>, but in the <Font bold="true">SurfaceInt</Font> integral, coordinates are automatically changed to polar to accommodate the domain of the surface. </Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Surface Integration\342\211\273Over a Box</Font></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial">Surface Integral on a Surface Defined</Font> <Font bold="true" family="Arial">over an Ellipse</Font></Text-field>
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<Text-field style="Text" layout="Normal">  <Font bold="true" family="Arial" foreground="[0,0,244]" size="10">Integrand</Font></Text-field>
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<Text-field style="Text" layout="Normal">   <Font bold="true" family="Arial" foreground="[0,0,255]" size="10">Surface</Font></Text-field>
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</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><EC-MathContainer id="MathContainer229" pixel-width="300" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="all" order="row" exterior="all" width="95.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="109" separator="true"></Table-Column><Table-Column weight="169" separator="true"></Table-Column><Table-Column weight="187" separator="true"></Table-Column><Table-Column weight="99" separator="true"></Table-Column><Table-Column weight="189" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="5" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">Equation of Ellipse:</Font> <EC-MathContainer id="MathContainer230" pixel-width="500" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;msup&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;mo lspace='0.2777778em' rspace='0.2777778em'&gt;&amp;equals;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer> <EC-Button id="Button260" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer230 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell columnspan="5" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]">
<Text-field style="Text" layout="Normal"><EC-RadioButton id="RadioButton23" groupname="Group0" caption="Full Ellipse" enabled="true" visible="true" selected="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer234 = NULL);
Do(%MathContainer235 = NULL);

Do(%MathContainer231 = 0);
Do(%MathContainer232 = 2*Pi);

end use; 
</MapleCode></EC-RadioButton>    <EC-RadioButton id="RadioButton24" groupname="Group0" caption="Sector" enabled="true" visible="true" selected="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer234 = NULL);
Do(%MathContainer235 = NULL);
Do(%MathContainer231 = NULL);
Do(%MathContainer232 = NULL);

end use; 
</MapleCode></EC-RadioButton>                 From <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSUYy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSUYy</Equation><EC-MathContainer id="MathContainer231" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>  to <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSUYy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSUYy</Equation> <EC-MathContainer id="MathContainer232" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>             <EC-Button id="Button261" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer231 = NULL);
Do(%MathContainer232 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7937" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7933" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button262" caption="Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local Fxyz, q,q1,Eq, X,Z, T1,T2;

Do(Fxyz = %MathContainer228);
Do(Z = %MathContainer229);

Do(q1 = %MathContainer230);

Do(T1 = %MathContainer231);
Do(T2 = %MathContainer232);

if type(q1,`=`) then Eq:=lhs(q1)-rhs(q1) else Eq:=q1;end if;

if nops([Fxyz])*nops([Z])*nops([Eq])*nops([T1])*nops([T2])=0 then return;end if;

if Do(%RadioButton23) then q:=SurfaceInt(Fxyz, [x,y,z]=Surface(&lt;x,y,Z&gt;, [x,y]=Ellipse(Eq,[r,theta])),inert);

else q := SurfaceInt(Fxyz, [x,y,z]=Surface(&lt;x,y,Z&gt;, [x,y]=Sector(Ellipse(Eq,[r,theta]),T1,T2)),inert);

end if;

Do(%MathContainer234 = q);
Do(%MathContainer235 = NULL);
end module;

end use; 

</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7939" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEjZHJGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSJ+RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkwtRiw2JVEiZEYnRi9GMi1GLDYlUScmIzk1MjtGJy9GMEY9RjlGOQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEjZHJGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSJ+RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkwtRiw2JVEiZEYnRi9GMi1GLDYlUScmIzk1MjtGJy9GMEY9RjlGOQ==</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7936" drawlabel="true">
<Input>
<Text-field style="Text" size="10" layout="Normal" alignment="centred"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7944" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button263" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer234);
if nops([q]) = 0 then return;end if;

Do(%MathContainer234 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7946" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer234" pixel-width="700" pixel-height="150" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;tan&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;tan&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/msup&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;cos&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;sin&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;cos&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7934" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7945" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button264" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local q;

Do(q = %MathContainer234);
if nops([q]) = 0 then return;end if;

Do(%MathContainer235 = NULL);
Do(%MathContainer235 = value(q));
end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7942" drawlabel="true">
<Input>
<Text-field style="Text" size="8" layout="Normal" alignment="centred"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7941" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button265" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer235);
if nops([q]) = 0 then return;end if;

Do(%MathContainer235 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7943" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer235" pixel-width="700" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mn&gt;0.6969981740&lt;/mn&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7932" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred">           <EC-Button id="Button266" caption="Floating-Point Approximation" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer234);
Do(q2 = %MathContainer235);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer235 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer235 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer235 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button>                       <EC-Button id="Button267" caption="Clear and Reset" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer228 = NULL);
Do(%MathContainer229 = NULL);
Do(%MathContainer230 = NULL);

Do(%MathContainer234 = NULL);
Do(%MathContainer235 = NULL);

Do(%RadioButton23 = true);
Do(%MathContainer231 = 0);
Do(%MathContainer232 = 2*Pi);

Do(%MathContainer233 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7838" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 18</Font>   Surface integral of a scalar field over a surface defined on the interior of an ellipse</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7833" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7834" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The inner integral can be evaluated analytically, but the resulting outer integral can only be evaluated numerically.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7835" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Surface Defined over a Triangle</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7794" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7840" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Table 19 contains a task template used to compute the surface integral of the scalar function <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYoLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGPS1GLDYlUSJ6RidGL0YyRkFGQS1GPjYtUSI9RidGQUZDL0ZHRkVGSEZKRkxGTkZQL0ZTUSwwLjI3Nzc3NzhlbUYnL0ZWRl1vRmVuRkE=">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</Equation> over the surface <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJ4RidGL0YyLUY2Ni1RIn5GJ0Y5RjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GVi1GLDYlUSJ5RidGL0YyRjk=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJ4RidGL0YyLUY2Ni1RIn5GJ0Y5RjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GVi1GLDYlUSJ5RidGL0YyRjk=</Equation> whose domain is the interior of the triangle with vertices <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjE2JFEiMkYnRjRGNEY0RjctRiw2JC1GIzYmLUYxNiRRIjdGJ0Y0RjctRjE2JFEiNkYnRjRGNEY0RjctRiw2JC1GIzYmLUYxNiRRIjRGJ0Y0RjctRjE2JFEiNUYnRjRGNEY0RjQ=">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</Equation>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7845" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="none" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7848" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Surface Integration\342\211\273Over a Box</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="120" separator="true"></Table-Column><Table-Column weight="796" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7950" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial">Surface Integral on a Surface Defined</Font> <Font bold="true" family="Arial">over a Triangle</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="51" separator="true"></Table-Column><Table-Column weight="149" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal">  <Font bold="true" family="Arial" foreground="[0,0,244]" size="10">Integrand</Font></Text-field>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
<Text-field style="Text" layout="Normal">   <EC-Button id="Button268" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer236 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><EC-MathContainer id="MathContainer236" pixel-width="300" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field></Table-Cell></Table-Row></Table></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="51" separator="true"></Table-Column><Table-Column weight="149" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal">   <Font bold="true" family="Arial" foreground="[0,0,255]" size="10">Surface</Font></Text-field>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
<Text-field style="Text" layout="Normal">   <EC-Button id="Button269" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer237 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><EC-MathContainer id="MathContainer237" pixel-width="300" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="93.5288169868554%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="241.66666666666666" separator="true"></Table-Column><Table-Column weight="230" separator="true"></Table-Column><Table-Column weight="250" separator="true"></Table-Column><Table-Column weight="245" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">Triangle</Font></Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">Vertices</Font></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer238" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button270" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer238 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer239" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button271" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer239 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiM0YnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiM0YnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer240" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button272" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer240 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button273" caption="Clear All" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer238 = NULL);
Do(%MathContainer241 = NULL);
Do(%MathContainer239 = NULL);
Do(%MathContainer242 = NULL);
Do(%MathContainer240 = NULL);
Do(%MathContainer243 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer241" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button274" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer241 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer242" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button275" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer242 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiM0YnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiM0YnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer243" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button276" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer243 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7952" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7955" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7957" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7948" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button277" caption="Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local Fxyz, q, Z, x1,y1,x2,y2,x3,y3;

Do(Fxyz = %MathContainer236);
Do(Z = %MathContainer237);

Do(x1 = %MathContainer238);
Do(y1 = %MathContainer241);
Do(x2 = %MathContainer239);
Do(y2 = %MathContainer242);
Do(x3 = %MathContainer240);
Do(y3 = %MathContainer243);

if nops([Fxyz])*nops([Z])*nops([x1])*nops([y1])*nops([x2])*nops([y2])*nops([x3])*nops([y3])=0 then return;end if;

q := SurfaceInt(Fxyz,[x,y,z]=Surface(&lt;x,y,Z&gt;, [x,y]=Triangle(&lt;x1,y1&gt;,&lt;x2,y2&gt;,&lt;x3,y3&gt;)),inert);
Do(%MathContainer244 = q);
Do(%MathContainer245 = NULL);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7953" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7960" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button278" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer244);
if nops([q]) = 0 then return;end if;

Do(%MathContainer244 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7962" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer244" pixel-width="700" pixel-height="200" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;11&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7949" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7961" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button279" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer244);
if nops([q]) = 0 then return;end if;

Do(%MathContainer245 = NULL);
Do(%MathContainer245 = value(q));
end module;


end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7956" drawlabel="true">
<Input>
<Text-field style="Text" size="8" layout="Normal" alignment="centred"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7958" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button280" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer245);
if nops([q]) = 0 then return;end if;

Do(%MathContainer245 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7959" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer245" pixel-width="700" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mn&gt;365.6866709&lt;/mn&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7947" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred">          <EC-Button id="Button281" caption="Floating-Point Approximation" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()

local q1,q2;

Do(q1 = %MathContainer244);
Do(q2 = %MathContainer245);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer245 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer245 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer245 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button>                            <EC-Button id="Button282" caption="Clear All Fields" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer236 = NULL);
Do(%MathContainer237 = NULL);
Do(%MathContainer238 = NULL);
Do(%MathContainer241 = NULL);
Do(%MathContainer239 = NULL);
Do(%MathContainer242 = NULL);
Do(%MathContainer240 = NULL);
Do(%MathContainer243 = NULL);

Do(%MathContainer244 = NULL);
Do(%MathContainer245 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7847" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 19</Font>   Surface integral of a scalar field over a surface defined over the interior of a triangle</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7841" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7842" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The inner integrals can be evaluated exactly, the resulting outer integrals can only be evaluated numerically. The underlying <Font bold="true">SurfaceInt</Font> command writes the integral as a sum because the triangular domain cannot be swept with a single multiple integral.  From the limits of integration on the displayed integrals, it would be possible to infer the equations for the lines making up the sides of the triangle.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7844" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Surface Defined over a General Planar Region</Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal">Table 20 contains a task template used to compute the surface integral of the scalar function</Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"> <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> </Text-field>
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<Text-field style="Text" layout="Normal">over the surface <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJ4RidGL0YyLUY2Ni1RIn5GJ0Y5RjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GVi1GLDYlUSJ5RidGL0YyRjk=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJ4RidGL0YyLUY2Ni1RIn5GJ0Y5RjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GVi1GLDYlUSJ5RidGL0YyRjk=</Equation> whose domain is the first-quadrant region bounded by the curves <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>. The task template provides the option for integrating in either order, that is, <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjZHlGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSJ+RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkwtRiw2JVEjZHhGJ0YvRjJGOQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjZHlGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSJ+RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkwtRiw2JVEjZHhGJ0YvRjJGOQ==</Equation>, or <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjZHhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSJ+RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkwtRiw2JVEjZHlGJ0YvRjJGOQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjZHhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSJ+RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkwtRiw2JVEjZHlGJ0YvRjJGOQ==</Equation>.</Text-field>
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<Text-field style="Text" layout="Normal">   <Font bold="true" family="Arial" foreground="[0,0,255]" size="10">Surface</Font></Text-field>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
<Text-field style="Text" layout="Normal">   <EC-Button id="Button284" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer247 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><EC-MathContainer id="MathContainer247" pixel-width="300" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]">
<Text-field style="Text" layout="Normal" alignment="centred"><EC-RadioButton id="RadioButton25" groupname="Group0" caption="" enabled="true" visible="true" selected="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%Label135(caption) = v(x));
Do(%Label136(caption) = u(x));

end use; 
</MapleCode></EC-RadioButton><Equation executable="false" style="Text" input-equation="" display="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">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</Equation></Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-RadioButton id="RadioButton26" groupname="Group0" caption="" enabled="true" visible="true" selected="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%Label135(caption) = v(y));
Do(%Label136(caption) = u(y));

end use; 
</MapleCode></EC-RadioButton><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYxLUkobXN1YnN1cEdGJDYnLUkjbW9HRiQ2LlErJkludGVncmFsO0YnLyUlc2l6ZUdRIzEwRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y6LyUpc3RyZXRjaHlHUSV0cnVlRicvJSpzeW1tZXRyaWNHRjovJShsYXJnZW9wR0Y/LyUubW92YWJsZWxpbWl0c0dGOi8lJ2FjY2VudEdGOi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkotRiM2KC1JI21pR0YkNiZRInlGJ0YyLyUnaXRhbGljR0Y/L0Y2USdpdGFsaWNGJy1GLzYuUSI9RidGMkY1RjhGOy9GPkY6RkAvRkNGOkZERkYvRklRLDAuMjc3Nzc3OGVtRicvRkxGZ24tRlA2JlEiYUYnRjJGU0ZVRjIvJTBmb250X3N0eWxlX25hbWVHUSVUZXh0RidGNS1GIzYoRk9GVy1GUDYmUSJiRidGMkZTRlVGMkZcb0Y1LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy8lL3N1YnNjcmlwdHNoaWZ0R0Zmby1GLDYnLUYvNi5GMUYyRjUvRjlRJnVuc2V0RicvRjxGXnBGPS9GQUZecEZCL0ZFRl5wL0ZHRl5wRkhGSy1GIzYpLUZQNiZRInhGJ0YyRlNGVUZXLUZQNiZRInVGJ0YyRlNGVS1JKG1mZW5jZWRHRiQ2JS1GIzYmRk9GMkZcb0Y1RjJGNUYyRlxvRjUtRiM2KUZlcEZXLUZQNiZRInZGJ0YyRlNGVUZbcUYyRlxvRjVGZG9GZ28tRlA2JlEiZkYnRjJGU0ZVLUZccTYlLUYjNitGZXAtRi82LlEiLEYnRjJGNUY4L0Y8Rj9GWkZARmVuRkRGRkZIL0ZMUSwwLjMzMzMzMzNlbUYnRk9GXHItRlA2JlEiekYnRjJGU0ZVLUZccTYlLUYjNihGZXBGXHJGT0YyRlxvRjVGMkY1RjJGXG9GNUYyRjUtRi82LlEifkYnRjJGNUY4RjtGWkZARmVuRkRGRkZIRkstSSZtc3FydEdGJDYjLUYjNiotSSNtbkdGJDYlUSIxRidGMkY1LUYvNi5RIitGJ0YyRjVGOEY7RlpGQEZlbkZERkYvRklRLDAuMjIyMjIyMmVtRicvRkxGaXMtRiw2KEZici1GIzYmRmVwRjJGXG9GNS1GIzYmLUZiczYlUSIyRidGMkY1RjJGXG9GNUZkb0Znby9JK21zZW1hbnRpY3NHRiRRLFtub25lLG5vbmVdRidGZXMtRiw2KEZickZecUZfdEZkb0Znb0ZkdEYyRlxvRjVGaXItRi82L1EwJkRpZmZlcmVudGlhbEQ7RidGMkZTRlVGXXBGX3AvRj5GXnBGYHAvRkNGXnBGYXBGYnBGSEZLRmVwRmlyRml0Rk9GMkZcb0Y1">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYxLUkobXN1YnN1cEdGJDYnLUkjbW9HRiQ2LlErJkludGVncmFsO0YnLyUlc2l6ZUdRIzEwRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y6LyUpc3RyZXRjaHlHUSV0cnVlRicvJSpzeW1tZXRyaWNHRjovJShsYXJnZW9wR0Y/LyUubW92YWJsZWxpbWl0c0dGOi8lJ2FjY2VudEdGOi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkotRiM2KC1JI21pR0YkNiZRInlGJ0YyLyUnaXRhbGljR0Y/L0Y2USdpdGFsaWNGJy1GLzYuUSI9RidGMkY1RjhGOy9GPkY6RkAvRkNGOkZERkYvRklRLDAuMjc3Nzc3OGVtRicvRkxGZ24tRlA2JlEiYUYnRjJGU0ZVRjIvJTBmb250X3N0eWxlX25hbWVHUSVUZXh0RidGNS1GIzYoRk9GVy1GUDYmUSJiRidGMkZTRlVGMkZcb0Y1LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy8lL3N1YnNjcmlwdHNoaWZ0R0Zmby1GLDYnLUYvNi5GMUYyRjUvRjlRJnVuc2V0RicvRjxGXnBGPS9GQUZecEZCL0ZFRl5wL0ZHRl5wRkhGSy1GIzYpLUZQNiZRInhGJ0YyRlNGVUZXLUZQNiZRInVGJ0YyRlNGVS1JKG1mZW5jZWRHRiQ2JS1GIzYmRk9GMkZcb0Y1RjJGNUYyRlxvRjUtRiM2KUZlcEZXLUZQNiZRInZGJ0YyRlNGVUZbcUYyRlxvRjVGZG9GZ28tRlA2JlEiZkYnRjJGU0ZVLUZccTYlLUYjNitGZXAtRi82LlEiLEYnRjJGNUY4L0Y8Rj9GWkZARmVuRkRGRkZIL0ZMUSwwLjMzMzMzMzNlbUYnRk9GXHItRlA2JlEiekYnRjJGU0ZVLUZccTYlLUYjNihGZXBGXHJGT0YyRlxvRjVGMkY1RjJGXG9GNUYyRjUtRi82LlEifkYnRjJGNUY4RjtGWkZARmVuRkRGRkZIRkstSSZtc3FydEdGJDYjLUYjNiotSSNtbkdGJDYlUSIxRidGMkY1LUYvNi5RIitGJ0YyRjVGOEY7RlpGQEZlbkZERkYvRklRLDAuMjIyMjIyMmVtRicvRkxGaXMtRiw2KEZici1GIzYmRmVwRjJGXG9GNS1GIzYmLUZiczYlUSIyRidGMkY1RjJGXG9GNUZkb0Znby9JK21zZW1hbnRpY3NHRiRRLFtub25lLG5vbmVdRidGZXMtRiw2KEZickZecUZfdEZkb0Znb0ZkdEYyRlxvRjVGaXItRi82L1EwJkRpZmZlcmVudGlhbEQ7RidGMkZTRlVGXXBGX3AvRj5GXnBGYHAvRkNGXnBGYXBGYnBGSEZLRmVwRmlyRml0Rk9GMkZcb0Y1</Equation></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="72.30419977298524%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="378" separator="true"></Table-Column><Table-Column weight="259" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label135" caption="v(x)" enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkdGMw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkdGMw==</Equation><EC-MathContainer id="MathContainer248" pixel-width="150" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button285" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer248 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiYkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiYkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5</Equation><EC-MathContainer id="MathContainer249" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button286" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer249 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Label id="Label136" caption="u(x)" enabled="true" visible="true" visiblecharacterwidth="5" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkcvJSdpdGFsaWNHUSV0cnVlRicvRjRRJ2l0YWxpY0Yn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkcvJSdpdGFsaWNHUSV0cnVlRicvRjRRJ2l0YWxpY0Yn</Equation><EC-MathContainer id="MathContainer250" pixel-width="150" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button287" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer250 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEYvRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEYvRjI=</Equation><EC-MathContainer id="MathContainer251" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button288" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer251 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7974" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7965" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button289" caption="Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local Fxyz, q, u,v,a,b,Z;

Do(Fxyz = %MathContainer246);
Do(Z = %MathContainer247);

Do(v = %MathContainer248);
Do(u = %MathContainer250);
Do(b = %MathContainer249);
Do(a = %MathContainer251);

if nops([Fxyz])*nops([Z])*nops([v])*nops([u])*nops([b])*nops([a])=0 then return;end if;

if Do(%RadioButton25) then 

q := SurfaceInt(Fxyz,[x,y,z]=Surface(&lt;x,y,Z&gt;, x=a..b,y=u..v),inert);

else q := SurfaceInt(Fxyz,[x,y,z]=Surface(&lt;x,y,Z&gt;, y=a..b,x=u..v),inert);
end if;

Do(%MathContainer252 = q);
Do(%MathContainer253 = NULL);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7972" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7967" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button290" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer252);
if nops([q]) = 0 then return;end if;

Do(%MathContainer252 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7977" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer252" pixel-width="700" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7968" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7976" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button291" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local q;

Do(q = %MathContainer252);
if nops([q]) = 0 then return;end if;

Do(%MathContainer253 = NULL);
Do(%MathContainer253 = value(q));

end module;


end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7966" drawlabel="true">
<Input>
<Text-field style="Text" size="8" layout="Normal" alignment="centred"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7964" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button292" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer253);
if nops([q]) = 0 then return;end if;

Do(%MathContainer253 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7975" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer253" pixel-width="700" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mn&gt;0.5049103818&lt;/mn&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7963" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred">      <EC-Button id="Button293" caption="Floating-Point Approximation" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer252);
Do(q2 = %MathContainer253);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer253 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer253 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer253 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button>                          <EC-Button id="Button294" caption="Clear All Fields" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer246 = NULL);
Do(%MathContainer247 = NULL);

Do(%MathContainer248 = NULL);
Do(%MathContainer250 = NULL);
Do(%MathContainer249 = NULL);
Do(%MathContainer251 = NULL);

Do(%RadioButton25(value)=true);
Do(%Label135(caption) = v(x));
Do(%Label136(caption) = u(x));

Do(%MathContainer252 = NULL);
Do(%MathContainer253 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7857" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 20</Font>   Surface integral of a scalar field over a surface defined on a general planar region</Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7850" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7851" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The inner integral can be evaluated exactly, but the resulting outer integral can only be evaluated numerically.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7854" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1">Double Integrals</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7075" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7076" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">In the <Font italic="true">VectorCalculus</Font> packages, the <Font bold="true">int</Font> command was modified with special syntax to make writing multiple integrals easier. Thus, the iterated integral</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8006" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8007" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7077" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
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<Text-field style="Text" layout="Normal">can be constructed at top-level with either of the commands shown in Table 36.</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 21</Font>   Top-level ways for writing an iterated double integral</Text-field></Table-Cell></Table-Row></Table><Presentation-Block>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="Text" layout="Normal">Integration carried out with the syntax on the right in Table 21 is more robust that that on the left. Corresponding to the older usage on the left of Table 21, we have the special <Font italic="true">VectorCalculus</Font> syntax</Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="Text" layout="Normal">The inert integral is generated by adding the optional parameter &quot;inert&quot; to the modified <Font bold="true">int</Font> command. In addition, the special domains of rectangle, disk, ellipse, and triangle are recognized, along with provision for formulating a double integral over a general planar region.  These integrations are implemented in the following task templates.</Text-field>
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<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Rectangle</Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="Text" layout="Normal">Table 22 contains a task template used to compute the integral of the function <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> over the rectangle <Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYuLUkjbW5HRiQ2JFEiMUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RJiZsZXE7RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZHLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJ0YyLUYsNiRRIjJGJ0YvLUYzNi1RIixGJ0YvRjYvRjpGUEY7Rj1GP0ZBRkMvRkZRJjAuMGVtRicvRklRLDAuMzMzMzMzM2VtRictRiw2JFEiM0YnRi9GMi1GSzYlUSJ5RidGTkZRRjItRiw2JFEiNEYnRi9GLw==</Equation>.<Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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</Group></Presentation-Block><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="none" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Multiple Integration\342\211\2732-D\342\211\273Over a Rectangle</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="27" separator="true"></Table-Column><Table-Column weight="173" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial">Integrate</Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGQUZBRkE=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGQUZBRkE=</Equation> <Font bold="true" family="Arial">over a Rectangle</Font></Text-field>
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<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><EC-MathContainer id="MathContainer254" pixel-width="600" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>          <EC-Button id="Button295" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer254 = NULL);
end use; 
</MapleCode></EC-Button></Text-field>
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<Input>
<Text-field style="Text" layout="Normal" alignment="centred">Inner Integral: <EC-MathContainer id="MathContainer255" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEmJmxlcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGQy1JI21pR0YkNiVRInhGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRidGK0Yv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEmJmxlcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGQy1JI21pR0YkNiVRInhGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRidGK0Yv</Equation><EC-MathContainer id="MathContainer256" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>   <EC-Button id="Button296" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer255 = NULL);
Do(%MathContainer256 = NULL);

end use; 
</MapleCode></EC-Button>            Outer Integral: <EC-MathContainer id="MathContainer257" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEmJmxlcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGQy1JI21pR0YkNiVRInlGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRidGK0Yv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEmJmxlcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGQy1JI21pR0YkNiVRInlGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRidGK0Yv</Equation><EC-MathContainer id="MathContainer258" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>  <EC-Button id="Button297" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer257 = NULL);
Do(%MathContainer258 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8072" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8066" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button298" caption="Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local f, a,b,c,d, q;

Do(f = %MathContainer254);
Do(a = %MathContainer255);
Do(b = %MathContainer256);
Do(c = %MathContainer257);
Do(d = %MathContainer258);

if nops([f])*nops([a])*nops([b])*nops([c])*nops([d])=0 then return;end if;

if has(a,{x,y}) or has(b,{x,y}) or has(c,{x,y}) or has(d,{x,y}) then return; end if;

q := int(f,[x,y]=Rectangle(a..b,c..d),inert);
Do(%MathContainer259 = q);
end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8074" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjZHhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSJ+RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkwtRiw2JVEjZHlGJ0YvRjJGOQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjZHhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSJ+RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkwtRiw2JVEjZHlGJ0YvRjJGOQ==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8077" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer259" pixel-width="700" pixel-height="80" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8069" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8076" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button299" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local Q;

Do(Q = %MathContainer259);
if nops([Q])=0 then return;end if;

Do(%MathContainer260 = value(Q));
end module;

end use;
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8075" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer260" pixel-width="700" pixel-height="70" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mfrac&gt;&lt;mn&gt;21&lt;/mn&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8065" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-Button id="Button300" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer260);
if nops([q])=0 then return;end if;

Do(%MathContainer260 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button>                 <EC-Button id="Button301" caption="Floating-Point Approximation" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer259);
Do(q2 = %MathContainer260);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer260 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer260 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer260 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button>                 <EC-Button id="Button302" caption="Clear All Fields" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer254 = NULL);
Do(%MathContainer255 = NULL);
Do(%MathContainer256 = NULL);
Do(%MathContainer257 = NULL);
Do(%MathContainer259 = NULL);
Do(%MathContainer260 = NULL);
Do(%MathContainer258 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 22</Font>   Iterated double integral over a rectangular domain</Text-field></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8031" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Disk</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8034" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8132" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Table 23 contains a task template used to compute the integral of the function <Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGQUZBLUY+Ni1RIj1GJ0ZBRkMvRkdGRUZIRkpGTEZORlAvRlNRLDAuMjc3Nzc3OGVtRicvRlZGam5GOi1GPjYtUSJ+RidGQUZDRmhuRkhGSkZMRk5GUEZSL0ZWRlRGWEZB</Equation> over a disk with center <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjE2JFEiMkYnRjRGNEY0RjQ=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjE2JFEiMkYnRjRGNEY0RjQ=</Equation> and radius 3.<Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Multiple Integration\342\211\2732-D\342\211\273Over a Circle</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="27" separator="true"></Table-Column><Table-Column weight="173" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial">Integrate</Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation><Font bold="true" family="Arial"> over a Circle</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><EC-MathContainer id="MathContainer261" pixel-width="600" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>          <EC-Button id="Button303" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

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<Text-field style="Text" layout="Normal" alignment="centred">Center <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtaUdGJDYlUSJoRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiLEYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYlUSJrRidGNEY3Rj5GPi1GMTYjUSFGJ0Y+">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtaUdGJDYlUSJoRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiLEYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYlUSJrRidGNEY3Rj5GPi1GMTYjUSFGJ0Y+</Equation>:  <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiaEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiaEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5</Equation><EC-MathContainer id="MathContainer262" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>, <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5</Equation><EC-MathContainer id="MathContainer263" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>   <EC-Button id="Button304" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer262 = NULL);
Do(%MathContainer263 = NULL);

end use; 
</MapleCode></EC-Button>            Radius = <EC-MathContainer id="MathContainer264" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>   <EC-Button id="Button305" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer264 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><EC-RadioButton id="RadioButton27" groupname="Group0" caption="Full Circle" enabled="true" visible="true" selected="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer267 = NULL);
Do(%MathContainer268 = NULL);

Do(%MathContainer265 = 0);
Do(%MathContainer266 = 2*Pi);

end use; 
</MapleCode></EC-RadioButton>   <EC-RadioButton id="RadioButton28" groupname="Group0" caption="Sector" enabled="true" visible="true" selected="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer267 = NULL);
Do(%MathContainer268 = NULL);
Do(%MathContainer265 = NULL);
Do(%MathContainer266 = NULL);

end use; 
</MapleCode></EC-RadioButton>                 From <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSUYy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSUYy</Equation><EC-MathContainer id="MathContainer265" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>  to <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSUYy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSUYy</Equation> <EC-MathContainer id="MathContainer266" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>             <EC-Button id="Button306" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer265 = NULL);
Do(%MathContainer266 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8085" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8079" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button307" caption="Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local f, h,k, R, q, T1, T2, C;

Do(f = %MathContainer261);
Do(h = %MathContainer262);
Do(k = %MathContainer263);
Do(R = %MathContainer264);
Do(T1 = %MathContainer265);
Do(T2 = %MathContainer266);

if nops([f])*nops([h])*nops([k])*nops([R])*nops([T1])*nops([T2])=0 then return;end if;

C := Vector([h,k],coords=cartesian[x,y]);

if Do(%RadioButton27) then q := int(f,[x,y]=Circle(C,R,[r,theta]),inert);
else q := int(f,[x,y]=Sector(Circle(C,R,[r,theta]),T1,T2),inert);
end if;

Do(%MathContainer267 = q);
end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8086" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEiZEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GLDYlUScmIzk1MjtGJy9GMFEmZmFsc2VGJy9GM1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGOi8lJmZlbmNlR0Y5LyUqc2VwYXJhdG9yR0Y5LyUpc3RyZXRjaHlHRjkvJSpzeW1tZXRyaWNHRjkvJShsYXJnZW9wR0Y5LyUubW92YWJsZWxpbWl0c0dGOS8lJ2FjY2VudEdGOS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlAtRiw2JVEjZHJGJ0YvRjJGOg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEiZEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GLDYlUScmIzk1MjtGJy9GMFEmZmFsc2VGJy9GM1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGOi8lJmZlbmNlR0Y5LyUqc2VwYXJhdG9yR0Y5LyUpc3RyZXRjaHlHRjkvJSpzeW1tZXRyaWNHRjkvJShsYXJnZW9wR0Y5LyUubW92YWJsZWxpbWl0c0dGOS8lJ2FjY2VudEdGOS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlAtRiw2JVEjZHJGJ0YvRjJGOg==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8090" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer267" pixel-width="700" pixel-height="80" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;cos&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;sin&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;cos&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;sin&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8082" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8089" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button308" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local Q;

Do(Q = %MathContainer267);
if nops([Q])=0 then return;end if;

Do(%MathContainer268 = value(Q));
end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8087" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer268" pixel-width="700" pixel-height="70" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;18&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8078" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-Button id="Button309" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer268);
if nops([q])=0 then return;end if;

Do(%MathContainer268 = simplify(q));
end module;

end use; 
</MapleCode></EC-Button>                 <EC-Button id="Button310" caption="Floating-Point Approximation" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer267);
Do(q2 = %MathContainer268);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer268 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer268 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer268 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button>                 <EC-Button id="Button311" caption="Clear and Reset" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer261 = NULL);
Do(%MathContainer262 = NULL);
Do(%MathContainer263 = NULL);
Do(%MathContainer264 = NULL);
Do(%MathContainer267 = NULL);
Do(%MathContainer268 = NULL);

Do(%RadioButton27 = true);
Do(%MathContainer265 = 0);
Do(%MathContainer266 = 2*Pi);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 23</Font>   Iterated double integral over the disk with center <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjE2JFEiMkYnRjRGNEY0RjQ=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjE2JFEiMkYnRjRGNEY0RjQ=</Equation> and radius 3</Text-field></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8036" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Ellipse</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8039" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8133" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Table 24 contains a task template used to compute the integral of the function <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGQUZBLUY+Ni1RIj1GJ0ZBRkMvRkdGRUZIRkpGTEZORlAvRlNRLDAuMjc3Nzc3OGVtRicvRlZGam5GOi1GPjYtUSJ+RidGQUZDRmhuRkhGSkZMRk5GUEZSL0ZWRlRGWEZB">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</Equation> over the interior of the ellipse <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8058" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="none" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Multiple Integration\342\211\2732-D\342\211\273Over an Ellipse</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="27" separator="true"></Table-Column><Table-Column weight="173" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8096" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial">Integrate</Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGQUZBRkE=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGQUZBRkE=</Equation> <Font bold="true" family="Arial">over an Ellipse</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8093" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><EC-MathContainer id="MathContainer269" pixel-width="600" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>          <EC-Button id="Button312" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer269 = NULL);
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8094" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Equation of ellipse: <EC-MathContainer id="MathContainer270" pixel-width="600" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;msup&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;mo lspace='0.2777778em' rspace='0.2777778em'&gt;&amp;equals;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer> <EC-Button id="Button313" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer270 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><EC-RadioButton id="RadioButton29" groupname="Group0" caption="Complete Ellipse" enabled="true" visible="true" selected="true"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer274 = NULL);
Do(%MathContainer275 = NULL);
Do(%MathContainer271 = 0);
Do(%MathContainer272 = 2*Pi);
Do(%MathContainer273 = NULL);

end use; 
</MapleCode></EC-RadioButton> <EC-RadioButton id="RadioButton30" groupname="Group0" caption="Sector" enabled="true" visible="true" selected="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer274 = NULL);
Do(%MathContainer275 = NULL);
Do(%MathContainer271 = NULL);
Do(%MathContainer272 = NULL);
Do(%MathContainer273 = NULL);

end use; 
</MapleCode></EC-RadioButton>   From <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSUYy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSUYy</Equation> <EC-MathContainer id="MathContainer271" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>  to <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSUYy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSUYy</Equation> <EC-MathContainer id="MathContainer272" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>         <EC-Button id="Button314" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer271 = NULL);
Do(%MathContainer272 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8098" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8092" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button315" caption="Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local f, q, q1, Eq, T1, T2;

Do(f = %MathContainer269);
Do(q1 = %MathContainer270);
Do(T1 = %MathContainer271);
Do(T2 = %MathContainer272);

if type(q1,`=`) then Eq:=lhs(q1)-rhs(q1) else Eq:=q1;end if;

if nops([f])*nops([Eq])*nops([T1])*nops([T2])=0 then return;end if;

if Do(%RadioButton29) then q := int(f,[x,y]=Ellipse(Eq,[r,theta]),inert);
#Do(%MathContainer273 = dy*dx);
else q := int(f,[x,y]=Sector(Ellipse(Eq,[r,theta]),T1,T2),inert);
end if;
SetProperty(MathContainer273, value, &quot;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;dr&lt;/mi&gt;&lt;mspace width='0.3em'/&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi &gt;&lt;/mrow&gt;&lt;/math&gt;&quot;);

Do(%MathContainer274 = q);
end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8100" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer273" pixel-width="70" pixel-height="45" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;dr&lt;/mi&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8103" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer274" pixel-width="700" pixel-height="150" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;tan&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;tan&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;cos&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;sin&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8095" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8102" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button316" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local Q;

Do(Q = %MathContainer274);
if nops([Q])=0 then return;end if;

Do(%MathContainer275 = value(Q));
end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8101" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer275" pixel-width="700" pixel-height="70" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8091" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Button id="Button317" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;
Do(q = %MathContainer275);
if nops([q])=0 then return;end if;

Do(%MathContainer275 = simplify(q));
end module;
end use; 
</MapleCode></EC-Button>                 <EC-Button id="Button318" caption="Floating-Point Approximation" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer274);
Do(q2 = %MathContainer275);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer275 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer275 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer275 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button>                 <EC-Button id="Button319" caption="Clear and Reset" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer269 = NULL);

Do(%MathContainer270 = NULL);
Do(%MathContainer274 = NULL);
Do(%MathContainer275 = NULL);

Do(%RadioButton29 = true);
Do(%MathContainer271 = 0);
Do(%MathContainer272 = 2*Pi);
Do(%MathContainer273 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 24</Font>   Iterated double integral over an elliptic domain</Text-field></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8042" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Triangle</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8044" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8134" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Table 25 contains a task template used to compute the integral of the function <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> over the interior of the triangle whose vertices are <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>.</Text-field>
</Input>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8059" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8061" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="none" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Multiple Integration\342\211\2732-D\342\211\273Over a Rectangle</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="27" separator="true"></Table-Column><Table-Column weight="173" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8108" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial">Integrate</Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGQUZBRkE=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGQUZBRkE=</Equation> <Font bold="true" family="Arial">over a Triangle</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8106" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><EC-MathContainer id="MathContainer276" pixel-width="600" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>          <EC-Button id="Button320" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer276 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="93.5288169868554%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="241.66666666666666" separator="true"></Table-Column><Table-Column weight="230" separator="true"></Table-Column><Table-Column weight="250" separator="true"></Table-Column><Table-Column weight="245" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]">Vertices</Font></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer277" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button321" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer277 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer278" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button322" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer278 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiM0YnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiM0YnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer279" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button323" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer279 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button324" caption="Clear All" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer277 = NULL);
Do(%MathContainer280 = NULL);
Do(%MathContainer278 = NULL);
Do(%MathContainer281 = NULL);
Do(%MathContainer279 = NULL);
Do(%MathContainer282 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer280" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button325" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer280 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer281" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button326" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer281 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiM0YnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiM0YnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer282" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button327" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer282 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8112" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8105" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button328" caption="Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local f, q, x1,x2,x3,y1,y2,y3;

Do(f = %MathContainer276);

Do(x1 = %MathContainer277);
Do(y1 = %MathContainer280);
Do(x2 = %MathContainer278);
Do(y2 = %MathContainer281);
Do(x3 = %MathContainer279);
Do(y3 = %MathContainer282);

if nops([f])*nops([x1])*nops([x2])*nops([x3])*nops([y1])*nops([y2])*nops([y3])=0 then return;end if;

q := int(f,[x,y]=Triangle(&lt;x1,y1&gt;,&lt;x2,y2&gt;,&lt;x3,y3&gt;),inert);
Do(%MathContainer283 = q);
end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8110" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjZHlGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSJ+RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkwtRiw2JVEjZHhGJ0YvRjJGOQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjZHlGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSJ+RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkwtRiw2JVEjZHhGJ0YvRjJGOQ==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8115" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer283" pixel-width="700" pixel-height="150" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;23&lt;/mn&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8107" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8114" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button329" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local Q;

Do(Q = %MathContainer283);
if nops([Q])=0 then return;end if;

Do(%MathContainer284 = value(Q));
end module;


end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8111" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer284" pixel-width="700" pixel-height="70" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mfrac&gt;&lt;mn&gt;581&lt;/mn&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8104" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Button id="Button330" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer284);
if nops([q])=0 then return;end if;

Do(%MathContainer284 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button>                 <EC-Button id="Button331" caption="Floating-Point Approximation" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer283);
Do(q2 = %MathContainer284);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer284 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer284 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer284 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button>                 <EC-Button id="Button332" caption="Clear All Fields" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer276 = NULL);
Do(%MathContainer277 = NULL);
Do(%MathContainer280 = NULL);
Do(%MathContainer278 = NULL);
Do(%MathContainer281 = NULL);
Do(%MathContainer279 = NULL);
Do(%MathContainer282 = NULL);

Do(%MathContainer283 = NULL);
Do(%MathContainer284 = NULL);


end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 25</Font>   Iterated double integral over the interior of a triangle</Text-field></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8046" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
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<Text-field style="Heading 2" layout="Heading 2">General Planar Region</Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal">Table 26 contains a task template used to compute the integral of the function <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> over that portion of the first-quadrant bounded by the curves <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GIzYlLUYsNiNRIUYnLUkmbXNxcnRHRiQ2Iy1GIzYkLUYsNiVRInhGJ0YvRjJGOUY5RlFGOQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GIzYlLUYsNiNRIUYnLUkmbXNxcnRHRiQ2Iy1GIzYkLUYsNiVRInhGJ0YvRjJGOUY5RlFGOQ==</Equation> and <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JJW1zdXBHRiQ2JS1GLDYlUSJ4RidGL0YyLUYjNiUtSSNtbkdGJDYkUSIyRidGOUYvRjIvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjk=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JJW1zdXBHRiQ2JS1GLDYlUSJ4RidGL0YyLUYjNiUtSSNtbkdGJDYkUSIyRidGOUYvRjIvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjk=</Equation>.<Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Multiple Integration\342\211\2732-D\342\211\273Over a Rectangle</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="27" separator="true"></Table-Column><Table-Column weight="173" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial">Integrate</Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGQUZBRkE=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGQUZBRkE=</Equation> <Font bold="true" family="Arial">over a General Region</Font></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEidkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInhGJ0YvRjIvRjNRJ25vcm1hbEYnRj0tSSNtb0dGJDYtUSI9RidGPS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZURj0=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEidkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInhGJ0YvRjIvRjNRJ25vcm1hbEYnRj0tSSNtb0dGJDYtUSI9RidGPS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZURj0=</Equation><EC-MathContainer id="MathContainer286" pixel-width="150" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button334" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer286 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiYkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiYkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5</Equation><EC-MathContainer id="MathContainer287" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button335" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer287 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEidUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRInhGJ0YvRjJGL0YyL0YzUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0Y9LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZFLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlRGL0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEidUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRInhGJ0YvRjJGL0YyL0YzUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0Y9LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZFLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlRGL0Yy</Equation><EC-MathContainer id="MathContainer288" pixel-width="150" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button336" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer288 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEYvRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEYvRjI=</Equation><EC-MathContainer id="MathContainer289" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button337" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer289 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8124" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8117" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button338" caption="Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local f, q, a,b,u,v;

Do(f = %MathContainer285);

Do(v = %MathContainer286);
Do(u = %MathContainer288);
Do(b = %MathContainer287);
Do(a = %MathContainer289);


if nops([f])*nops([a])*nops([b])*nops([u])*nops([v])=0 then return;end if;

q := int(f,[x,y]=Region(a..b,u..v),inert);
Do(%MathContainer290 = q);
end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8122" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjZHlGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSJ+RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkwtRiw2JVEjZHhGJ0YvRjJGOQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjZHlGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSJ+RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkwtRiw2JVEjZHhGJ0YvRjJGOQ==</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8127" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer290" pixel-width="700" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8119" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8126" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button339" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local Q;

Do(Q = %MathContainer290);
if nops([Q])=0 then return;end if;

Do(%MathContainer291 = value(Q));
end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8123" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer291" pixel-width="700" pixel-height="70" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;12&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8116" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-Button id="Button340" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer291);
if nops([q])=0 then return;end if;

Do(%MathContainer291 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button>                 <EC-Button id="Button341" caption="Floating-Point Approximation" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer290);
Do(q2 = %MathContainer291);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer291 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer291 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer291 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button>                 <EC-Button id="Button342" caption="Clear All Fields" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer285 = NULL);
Do(%MathContainer286 = NULL);
Do(%MathContainer288 = NULL);
Do(%MathContainer287 = NULL);
Do(%MathContainer289 = NULL);

Do(%MathContainer290 = NULL);
Do(%MathContainer291 = NULL);


end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 26</Font>   Iterated double integral over a planar region with curved boundaries</Text-field></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8051" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1">Triple Integrals</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7081" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8152" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">In the <Font italic="true">VectorCalculus</Font> packages, the modified <Font bold="true">int</Font> command supports integration over a cube, sphere, and tetrahedron, and over a general three-dimensional region. The following task templates implement these integrations.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7082" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Cube</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8137" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8221" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Table 27 contains a task template used to compute the integral of the function <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> over the cube <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>.<Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8157" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="none" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Multiple Integration\342\211\2733-D\342\211\273Over a Cube</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="27" separator="true"></Table-Column><Table-Column weight="173" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8177" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial">Integrate</Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYoLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGPS1GLDYlUSJ6RidGL0YyRkFGQUZB">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYoLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGPS1GLDYlUSJ6RidGL0YyRkFGQUZB</Equation> <Font bold="true" family="Arial">over a Cube</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8175" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><EC-MathContainer id="MathContainer292" pixel-width="600" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>          <EC-Button id="Button343" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer292 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="175" separator="true"></Table-Column><Table-Column weight="210" separator="true"></Table-Column><Table-Column weight="220" separator="true"></Table-Column><Table-Column weight="222" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="2" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer293" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button344" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer2933 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer294" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button345" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer2934 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer295" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button346" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer2935 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer296" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button347" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer2936 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer297" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button348" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer2937 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer298" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button349" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer2938 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8181" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8174" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button350" caption="Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local f, q, x1,x2,y1,y2,z1,z2;

Do(f = %MathContainer292);

Do(x2 = %MathContainer293);
Do(x1 = %MathContainer296);
Do(y2 = %MathContainer294);
Do(y1 = %MathContainer297);
Do(z2 = %MathContainer295);
Do(z1 = %MathContainer298);

if nops([f])*nops([x1])*nops([x2])*nops([y1])*nops([y2])*nops([z1])*nops([z2])=0 then return;end if;

q := int(f,[x,y,z]=Parallelepiped(x1..x2,y1..y2,z1..z2),inert);
Do(%MathContainer299 = q);
end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8179" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEjZHhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSJ+RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkwtRiw2JVEjZHlGJ0YvRjJGNS1GLDYlUSNkekYnRi9GMkY5">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEjZHhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSJ+RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkwtRiw2JVEjZHlGJ0YvRjJGNS1GLDYlUSNkekYnRi9GMkY5</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8184" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer299" pixel-width="700" pixel-height="80" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8176" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8183" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button351" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local Q;

Do(Q = %MathContainer299);
if nops([Q])=0 then return;end if;

Do(%MathContainer300 = value(Q));
end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8180" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer300" pixel-width="700" pixel-height="70" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mfrac&gt;&lt;mn&gt;231&lt;/mn&gt;&lt;mn&gt;8&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8173" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-Button id="Button352" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer300);
if nops([q])=0 then return;end if;

Do(%MathContainer300 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button>                 <EC-Button id="Button353" caption="Floating-Point Approximation" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer299);
Do(q2 = %MathContainer300);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer300 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer300 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer300 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button>                 <EC-Button id="Button354" caption="Clear All Fields" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer292 = NULL);
Do(%MathContainer293 = NULL);
Do(%MathContainer296 = NULL);
Do(%MathContainer294 = NULL);
Do(%MathContainer297 = NULL);
Do(%MathContainer295 = NULL);
Do(%MathContainer298 = NULL);

Do(%MathContainer299 = NULL);
Do(%MathContainer300 = NULL);


end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 27</Font>   Iterated triple integral over a cube in <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEoJiM4NDc3O0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JS1JI21uR0YkNiRRIjNGJ0Y1L0YzUSV0cnVlRicvRjZRJ2l0YWxpY0YnLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0Y1">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEoJiM4NDc3O0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JS1JI21uR0YkNiRRIjNGJ0Y1L0YzUSV0cnVlRicvRjZRJ2l0YWxpY0YnLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0Y1</Equation></Text-field></Table-Cell></Table-Row></Table><Presentation-Block>
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<Text-field style="Heading 2" layout="Heading 2">Sphere</Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal">Table 28 contains a task template used to compute the integral of the function <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> over the sphere with center <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNigtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjE2JFEiMkYnRjRGNy1GMTYkUSIzRidGNEY0RjRGNA==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNigtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjE2JFEiMkYnRjRGNy1GMTYkUSIzRidGNEY0RjRGNA==</Equation> and radius 4.</Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Multiple Integration\342\211\2733-D\342\211\273Over a Sphere</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="27" separator="true"></Table-Column><Table-Column weight="173" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
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<Text-field style="Text" layout="Normal" alignment="centred">Center <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYkLUYjNigtSSNtaUdGJDYlUSJhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiLEYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYlUSJiRidGNEY3RjotRjE2JVEiY0YnRjRGN0Y+Rj4tRjE2I1EhRidGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYkLUYjNigtSSNtaUdGJDYlUSJhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiLEYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYlUSJiRidGNEY3RjotRjE2JVEiY0YnRjRGN0Y+Rj4tRjE2I1EhRidGPg==</Equation>:  <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5</Equation><EC-MathContainer id="MathContainer302" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>, <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiYkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiYkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5</Equation><EC-MathContainer id="MathContainer303" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>, <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiY0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiY0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5</Equation><EC-MathContainer id="MathContainer304" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>   <EC-Button id="Button356" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer302 = NULL);
Do(%MathContainer303 = NULL);
Do(%MathContainer304 = NULL);

end use; 
</MapleCode></EC-Button>            Radius = <EC-MathContainer id="MathContainer305" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>   <EC-Button id="Button357" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer305 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8192" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8186" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button358" caption="Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local f, a,b,c, R, q;

Do(f = %MathContainer301);
Do(a = %MathContainer302);
Do(b = %MathContainer303);
Do(c = %MathContainer304);
Do(R = %MathContainer305);

if nops([f])*nops([a])*nops([b])*nops([c])*nops([R])=0 then return;end if;

q := int(f,[x,y,z]=Sphere(&lt;a,b,c&gt;,R,[rho,phi,theta]),inert);

Do(%MathContainer306 = q);
end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8193" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2JVEiZEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GLDYlUScmIzk1MjtGJy9GMFEmZmFsc2VGJy9GM1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGOi8lJmZlbmNlR0Y5LyUqc2VwYXJhdG9yR0Y5LyUpc3RyZXRjaHlHRjkvJSpzeW1tZXRyaWNHRjkvJShsYXJnZW9wR0Y5LyUubW92YWJsZWxpbWl0c0dGOS8lJ2FjY2VudEdGOS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlBGKy1GLDYlUScmIzk2NjtGJ0Y4RjpGPEYrLUYsNiVRJyYjOTYxO0YnRjhGOkY6">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2JVEiZEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GLDYlUScmIzk1MjtGJy9GMFEmZmFsc2VGJy9GM1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGOi8lJmZlbmNlR0Y5LyUqc2VwYXJhdG9yR0Y5LyUpc3RyZXRjaHlHRjkvJSpzeW1tZXRyaWNHRjkvJShsYXJnZW9wR0Y5LyUubW92YWJsZWxpbWl0c0dGOS8lJ2FjY2VudEdGOS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlBGKy1GLDYlUScmIzk2NjtGJ0Y4RjpGPEYrLUYsNiVRJyYjOTYxO0YnRjhGOkY6</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8197" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer306" pixel-width="700" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;rho;&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;cos&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;phi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi mathvariant='normal'&gt;&amp;rho;&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;sin&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;ApplyFunction;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&amp;phi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;theta;&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;phi;&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;rho;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8189" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8196" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button359" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local Q;

Do(Q = %MathContainer306);
if nops([Q])=0 then return;end if;

Do(%MathContainer307 = value(Q));
end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8194" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-MathContainer id="MathContainer307" pixel-width="700" pixel-height="100" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;256&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;pi;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8185" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><EC-Button id="Button360" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer307);
if nops([q])=0 then return;end if;

Do(%MathContainer307 = simplify(q));
end module;

end use; 
</MapleCode></EC-Button>                 <EC-Button id="Button361" caption="Floating-Point Approximation" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer306);
Do(q2 = %MathContainer307);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer307 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer307 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer307 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button>                 <EC-Button id="Button362" caption="Clear and Reset" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer301 = NULL);
Do(%MathContainer302 = NULL);
Do(%MathContainer303 = NULL);
Do(%MathContainer304 = NULL);
Do(%MathContainer305 = NULL);
Do(%MathContainer306 = NULL);
Do(%MathContainer307 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 28</Font>   Iterated triple integral over a sphere in <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEoJiM4NDc3O0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JS1JI21uR0YkNiRRIjNGJ0Y1L0YzUSV0cnVlRicvRjZRJ2l0YWxpY0YnLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0Y1">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEoJiM4NDc3O0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JS1JI21uR0YkNiRRIjNGJ0Y1L0YzUSV0cnVlRicvRjZRJ2l0YWxpY0YnLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0Y1</Equation></Text-field></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8143" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Tetrahedron</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8146" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8227" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Table 29 contains a task template used to compute the integral of the function <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> over the interior of a tetrahedron with vertices <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>.<Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8166" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="none" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Multiple Integration\342\211\2733-D\342\211\273Over a Cube</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="27" separator="true"></Table-Column><Table-Column weight="173" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8202" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial">Integrate</Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYoLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGPS1GLDYlUSJ6RidGL0YyRkFGQUZB">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYoLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGPS1GLDYlUSJ6RidGL0YyRkFGQUZB</Equation> <Font bold="true" family="Arial">over a Tetrahedron</Font></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8200" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><EC-MathContainer id="MathContainer308" pixel-width="600" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>          <EC-Button id="Button363" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer308 = NULL);
end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]">Vertices</Font>                              <EC-Button id="Button364" caption="Clear All Vertices" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer309 = NULL);
Do(%MathContainer313 = NULL);
Do(%MathContainer317 = NULL);
Do(%MathContainer310 = NULL);
Do(%MathContainer314 = NULL);
Do(%MathContainer318 = NULL);
Do(%MathContainer311 = NULL);
Do(%MathContainer315 = NULL);
Do(%MathContainer319 = NULL);
Do(%MathContainer312 = NULL);
Do(%MathContainer316 = NULL);
Do(%MathContainer320 = NULL);

end use; 
</MapleCode></EC-Button></Text-field><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer309" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>  <EC-Button id="Button365" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer309 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer310" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>  <EC-Button id="Button366" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer310 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiM0YnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiM0YnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer311" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>  <EC-Button id="Button367" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer311 = NULL);


end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiNEYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiNEYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer312" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>  <EC-Button id="Button368" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer312 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer313" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>  <EC-Button id="Button369" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer313 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer314" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>  <EC-Button id="Button370" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer314 = NULL);


end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiM0YnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiM0YnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer315" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>  <EC-Button id="Button371" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer315 = NULL);


end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiNEYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiNEYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer316" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>  <EC-Button id="Button372" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer316 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer317" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>  <EC-Button id="Button373" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer317 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,204]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer318" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>  <EC-Button id="Button374" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer318 = NULL);


end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiM0YnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiM0YnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer319" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>  <EC-Button id="Button375" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer319 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiNEYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiNEYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer320" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>  <EC-Button id="Button376" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer320 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8205" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8199" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button377" caption="Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local f, x1,x2,x3,y1,y2,y3,z1,z2,z3, v1,v2,v3,v4, q;

Do(f = %MathContainer308);
Do(x1 = %MathContainer309);
Do(y1 = %MathContainer313);
Do(z1 = %MathContainer317);
Do(x2 = %MathContainer310);
Do(y2 = %MathContainer314);
Do(z2 = %MathContainer318);
Do(x3 = %MathContainer311);
Do(y3 = %MathContainer315);
Do(z3 = %MathContainer319);
Do(x4 = %MathContainer312);
Do(y4 = %MathContainer316);
Do(z4 = %MathContainer320);

v1:=&lt;x1,y1,z1&gt;;
v2:=&lt;x2,y2,z2&gt;;
v3:=&lt;x3,y3,z3&gt;;
v4:=&lt;x4,y4,z4&gt;;

if nops([f])*nops([x1])*nops([y1])*nops([z1])*nops([x2])*nops([y2])*nops([z2])*nops([x3])*nops([y3])*nops([z3])*nops([x4])*nops([y4])*nops([z4])=0 then return;end if;

q := simplify(int(f,[x,y,z]=Tetrahedron(v1,v2,v3,v4),inert));

Do(%MathContainer321 = q);

end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8208" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer321" pixel-width="700" pixel-height="200" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/msubsup&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;8&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mfrac&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;13&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mn&gt;49&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;112&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;8&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;8&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mfrac&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mfenced open='(' close=')' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;13&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mn&gt;49&lt;/mn&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;112&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8201" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8207" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button378" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local Q;

Do(Q = %MathContainer321);
if nops([Q])=0 then return;end if;

Do(%MathContainer322 = value(Q));
end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8204" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer322" pixel-width="700" pixel-height="70" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mfrac&gt;&lt;mn&gt;8918&lt;/mn&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8198" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-Button id="Button379" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer322);
if nops([q])=0 then return;end if;

Do(%MathContainer322 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button>                 <EC-Button id="Button380" caption="Floating-Point Approximation" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer321);
Do(q2 = %MathContainer322);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer322 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer322 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer322 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button>                 <EC-Button id="Button381" caption="Clear All Fields" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer308 = NULL);

Do(%MathContainer321 = NULL);
Do(%MathContainer322 = NULL);

Do(%MathContainer309 = NULL);
Do(%MathContainer313 = NULL);
Do(%MathContainer317 = NULL);
Do(%MathContainer310 = NULL);
Do(%MathContainer314 = NULL);
Do(%MathContainer318 = NULL);
Do(%MathContainer311 = NULL);
Do(%MathContainer315 = NULL);
Do(%MathContainer319 = NULL);
Do(%MathContainer312 = NULL);
Do(%MathContainer316 = NULL);
Do(%MathContainer320 = NULL);




end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 29</Font>   Iterated triple integral over a tetrahedron in <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEoJiM4NDc3O0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JS1JI21uR0YkNiRRIjNGJ0Y1L0YzUSV0cnVlRicvRjZRJ2l0YWxpY0YnLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0Y1">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEoJiM4NDc3O0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JS1JI21uR0YkNiRRIjNGJ0Y1L0YzUSV0cnVlRicvRjZRJ2l0YWxpY0YnLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0Y1</Equation></Text-field></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8148" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">General 3-D Region</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8153" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8228" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Table 30 contains a task template used to compute the integral of the function <Equation executable="false" style="2D Math" input-equation="" 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over the first-octant region bounded by the surfaces <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk=</Equation> and <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJ4RidGL0YyLUY2Ni1RIn5GJ0Y5RjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GVi1GLDYlUSJ5RidGL0YyRjk=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJ4RidGL0YyLUY2Ni1RIn5GJ0Y5RjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GVi1GLDYlUSJ5RidGL0YyRjk=</Equation>, lying inside the cylinder whose cross-section is bounded by the curves <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GIzYlLUYsNiNRIUYnLUkmbXNxcnRHRiQ2Iy1GIzYkLUYsNiVRInhGJ0YvRjJGOUY5RlFGOQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GIzYlLUYsNiNRIUYnLUkmbXNxcnRHRiQ2Iy1GIzYkLUYsNiVRInhGJ0YvRjJGOUY5RlFGOQ==</Equation> and <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JJW1zdXBHRiQ2JS1GLDYlUSJ4RidGL0YyLUYjNiUtSSNtbkdGJDYkUSIyRidGOUYvRjIvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjk=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JJW1zdXBHRiQ2JS1GLDYlUSJ4RidGL0YyLUYjNiUtSSNtbkdGJDYkUSIyRidGOUYvRjIvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjk=</Equation>.</Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Multiple Integration\342\211\2733-D\342\211\273Over a Cube</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="27" separator="true"></Table-Column><Table-Column weight="173" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial">Integrate</Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYoLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGPS1GLDYlUSJ6RidGL0YyRkFGQUZB">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYoLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGPS1GLDYlUSJ6RidGL0YyRkFGQUZB</Equation> <Font bold="true" family="Arial">over a General Region</Font></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>                  <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><EC-MathContainer id="MathContainer323" pixel-width="300" pixel-height="75" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>      <EC-Button id="Button382" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer323 = NULL);

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="242" separator="true"></Table-Column><Table-Column weight="219" separator="true"></Table-Column><Table-Column weight="191" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer324" pixel-width="150" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mspace height='0.0ex' width='1.0em' depth='0.0ex' linebreak='nobreak'/&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button383" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer3243 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer325" pixel-width="100" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button384" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer3244 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer326" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button385" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer3245 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer327" pixel-width="150" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button386" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer3246 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer328" pixel-width="100" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button387" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer3247 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIj1GJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlhGPg==</Equation><EC-MathContainer id="MathContainer329" pixel-width="50" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><EC-Button id="Button388" caption="Clear" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer3248 = NULL);

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8217" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8210" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button389" caption="Integral" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local f, q, x1,x2,y1,y2,z1,z2;

Do(f = %MathContainer323);

Do(z2 = %MathContainer324);
Do(z1 = %MathContainer327);
Do(y2 = %MathContainer325);
Do(y1 = %MathContainer328);
Do(x2 = %MathContainer326);
Do(x1 = %MathContainer329);

if nops([f])*nops([x1])*nops([x2])*nops([y1])*nops([y2])*nops([z1])*nops([z2])=0 then return;end if;

q := int(f,[x,y,z]=Region(x1..x2,y1..y2,z1..z2),inert);
Do(%MathContainer330 = q);
end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8215" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEjZHpGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSJ+RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkwtRiw2JVEjZHlGJ0YvRjJGNS1GLDYlUSNkeEYnRi9GMkY5">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEjZHpGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSJ+RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkwtRiw2JVEjZHlGJ0YvRjJGNS1GLDYlUSNkeEYnRi9GMkY5</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8220" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer330" pixel-width="700" pixel-height="80" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;msubsup superscriptshift='2'&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em' stretchy='true' largeop='true'&gt;&amp;int;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;z&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;mspace height='0.0ex' width='0.3em' depth='0.0ex' linebreak='auto'/&gt;&lt;mo mathcolor='#909090' lspace='0.0em' rspace='0.0em'&gt;&amp;DifferentialD;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8212" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8219" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button390" caption="Value" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 

module()
local Q;

Do(Q = %MathContainer330);
if nops([Q])=0 then return;end if;

Do(%MathContainer331 = value(Q));
end module;

end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8216" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-MathContainer id="MathContainer331" pixel-width="700" pixel-height="70" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;96&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8209" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><EC-Button id="Button391" caption="Simplify" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q;

Do(q = %MathContainer331);
if nops([q])=0 then return;end if;

Do(%MathContainer331 = simplify(q));

end module;

end use; 
</MapleCode></EC-Button>                 <EC-Button id="Button392" caption="Floating-Point Approximation" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

module()
local q1,q2;

Do(q1 = %MathContainer330);
Do(q2 = %MathContainer331);

	if nops([q1])=0 and nops([q2])=0 then return; end if;
	if nops([q1])=0 and nops([q2])&lt;&gt;0 then Do(%MathContainer331 = evalf(q2));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])=0 then Do(%MathContainer331 = evalf(q1));end if;
	if nops([q1])&lt;&gt;0 and nops([q2])&lt;&gt;0 then Do(%MathContainer331 = evalf(q1));end if;

end module;

end use; 
</MapleCode></EC-Button>                 <EC-Button id="Button393" caption="Clear All Fields" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 

Do(%MathContainer323 = NULL);
Do(%MathContainer324 = NULL);
Do(%MathContainer327 = NULL);
Do(%MathContainer325 = NULL);
Do(%MathContainer328 = NULL);
Do(%MathContainer326 = NULL);
Do(%MathContainer329 = NULL);

Do(%MathContainer330 = NULL);
Do(%MathContainer331 = NULL);


end use; 
</MapleCode></EC-Button></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 30</Font>   Iterated triple integral over a general region in <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEoJiM4NDc3O0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JS1JI21uR0YkNiRRIjNGJ0Y1L0YzUSV0cnVlRicvRjZRJ2l0YWxpY0YnLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0Y1">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEoJiM4NDc3O0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JS1JI21uR0YkNiRRIjNGJ0Y1L0YzUSV0cnVlRicvRjZRJ2l0YWxpY0YnLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0Y1</Equation></Text-field></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8155" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1">Multiple Integration Maplet</Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal">The Multiple Integration Maplet provides alternative access to the <Font bold="true">int</Font> command as modified in the <Font italic="true">VectorCalculus</Font> packages. Table 46 contains the &quot;minimal content&quot; of the task template. The &quot;default content&quot; would include the Extended Help section, which we have placed here, outside of Table 46.</Text-field>
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<Text-field style="Text" layout="Normal">The <Font family="Arial" foreground="[0,0,255]">Multiple Integration Maplet</Font> provides simplified access to the <Font bold="true">int</Font> command as modified in the <Font italic="true">VectorCalculus</Font> packages.  These modifications allow <Font bold="true">int</Font> to create multiple (iterated) integrals, both active and inert.  A number of pre-defined regions of integration are known to the command, which also admits user-defined domains.</Text-field>
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<Text-field style="Text" layout="Normal">The Maplet, accessed from the task template shown in Table 31, contains three panels.  The initial panel is shown in Figure 1.</Text-field>
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<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Figure 1</Font>   Initial panel for the Multiple Integration Maplet</Text-field></Table-Cell></Table-Row></Table><Presentation-Block>
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<Text-field style="Text" layout="Normal">An integrand is entered in the field designated as &quot;Function =&quot;.</Text-field>
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<Text-field style="Text" layout="Normal">By default, the Maplet expects a triple integral, but this can be changed by clicking on the 2D button to the right of &quot;Dimensions.&quot;</Text-field>
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<Text-field style="Text" layout="Normal">The variables of integration are entered in the fields to the right of  <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> (or <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>in the 2D case).  Thus, if integration is over a disk, the underlying <Font bold="true">int</Font> command will switch to polar coordinates, with the first variable being the radial coordinate.  (For such cases, <Font bold="true">int</Font> will automatically include the appropriate Jacobian.)</Text-field>
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<Text-field style="Text" layout="Normal">Regions of integration are accessed by clicking on the &quot;Edit 3D Region&quot; or &quot;Edit 2D Region&quot; buttons.  The panels that open are shown in Figures 2 and 3, respectively.</Text-field>
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<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Figure 2</Font>   Regions of integration for triple integrals</Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Figure 3</Font><Font foreground="[0,0,255]"> </Font>  Regions of integration for double integrals</Text-field></Table-Cell></Table-Row></Table><Presentation-Block>
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<Text-field style="Text" layout="Normal">Three pre-defined 3D regions are recognized, namely, the sphere, parallelepiped, and the tetrahedron.  The general 3D region is entered by providing appropriate bounding functions in the section designated by &quot;3D Region.&quot;</Text-field>
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<Text-field style="Text" layout="Normal">Briefly, there are two panels that have to be filled out for a calculation by this maplet. However, the cases of two- and three-dimensional regions are separated, so there are three possible panels that can open when using this maplet.</Text-field><Presentation-Block>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Integration\342\211\273Multiple Integration Maplet</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
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<Text-field style="Text" layout="Normal">To launch the Multiple Integration Maplet, click the button to the right.</Text-field>
<Text-field style="Text" layout="Normal"></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"></Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Button id="Button394" caption="Multiple Integration Maplet" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 
# Enter Maple commands to be executed when the specified
# action is carried out on the component.
# Use: 
#    Do( %component_name );
# and
#    Do( %component_name = value );
# to set and get properties of the component.
# You can also use arbitrary expressions
# involving components, e.g.:
#    Do( %target = %input1 + 2*%input2 );
# Note the %-prefix to each component name.
# See ?CustomizingComponents for more information.
module()
MultipleIntInteractive := proc()
	local MultipleIntMaplet, workML, fluxML, numSegPages, chosenSegments,
		segments, started, goterror, evalNumeric, evalSymbolic, showIntegral, showOnlyIntegral,
		setSector, settriangle, setrectangle, setcircle, setellipse,
		setregion2d, setregion3d, setsphere, setparr, settetra,
		set2d, set3d, editRegion,
		editsegments, getparams, showHelp, getCheckValue;

set2d := proc()
	use Maplets[Tools] in
		Set( dimtext_(caption)= &quot;    [x, y] = [&quot; );
		Set( zseperator_(caption)= &quot;]&quot; );
		Set( end_(caption)= &quot; &quot; );
		Set( z_(editable) = false );
		Set( twodradio_ = true );
		Set( edit2dregbut_(visible) = true );
		Set( edit3dregbut_(visible) = false );
	end use;	
end proc:

set3d := proc()
	use Maplets[Tools] in
		Set( dimtext_(caption)= &quot;[x, y, z] = [&quot; );
		Set( zseperator_(caption)= &quot;,&quot; );
		Set( end_(caption)= &quot;]&quot; );
		Set( z_(editable) = true );
		Set( threedradio_ = true );

		Set( edit2dregbut_(visible) = false );
		Set( edit3dregbut_(visible) = true );
	end use;	
end proc:
		
# Sets the triangle radio button to be selected
settriangle := proc()
	use Maplets[Tools] in
		set2d();
		Set(triangleradio_= true );
	end use;	
end proc:

# Sets the rectangle radio button to be selected
setrectangle := proc()
	use Maplets[Tools] in
		set2d();
		Set(rectangleradio_= true );
	end use;	
end proc:

# Sets the circle radio button to be selected
setcircle := proc()
	use Maplets[Tools] in
		set2d();
		Set(circleradio_= true );
	end use;	
end proc:

# Sets the ellipse radio button to be selected
setellipse := proc()
	use Maplets[Tools] in
		set2d();
		Set(ellipseradio_= true );
	end use;	
end proc:

# Sets the Sector radio button to be selected
setSector := proc()
	use Maplets[Tools] in
		set2d();
		Set(Sectorcheck_= true );
	end use;	
end proc:

# Sets the 2d Region radio button to be selected
setregion2d := proc()
	use Maplets[Tools] in
		set2d();
		Set(region2dradio_= true );
	end use;	
end proc:

# Sets the 3d Region radio button to be selected
setregion3d := proc()
	use Maplets[Tools] in
		set3d();
		Set(region3dradio_= true );
	end use;	
end proc:

# Sets the sphere radio button to be selected
setsphere := proc()
	use Maplets[Tools] in
		set3d();
		Set(sphereradio_= true );
	end use;	
end proc:

# Sets the parrallelepiped radio button to be selected
setparr := proc()
	use Maplets[Tools] in
		set3d();
		Set(parrradio_= true );
	end use;	
end proc:

# Sets the tetrahedron radio button to be selected
settetra := proc()
	use Maplets[Tools] in
		set3d();
		Set(tetraradio_= true );
	end use;	
end proc:


# Gets the current value from control and checks to see if
# its type matches valType if not
# it asks the user to enter a correct value using valName as the 
# name of the control 
# Also if the control doesn't match it sets the global variable
# goterror to be true
getCheckValue := proc ( control, valType, valName::string )
	local value, errstring;

	use Maplets[Tools], Maplets[Utilities] in
		value := Get ( control );
		
		value := parse( value );

		if not ( type ( value, valType ) ) then
			errstring :=sprintf ( &quot;Please enter an %s value for %s&quot;, valType, valName );
			ErrorDialog('title' = &quot;Missing/Incorect Value&quot;,
            		'errormessage' = errstring);
			
			value := 0;
			goterror := true;
		end if;
	end use;

	value;
end proc:

# Gets all the neccecary parameters for the line integration
# and returns them
getparams := proc()
	local Sectorable, r, point, range, h, k, a, b, par, eqn, start, 
		finish, F, dom, domstr, command, params;

	use Maplets[Tools] in
		
		goterror := false;

		if ( Get ( triangleradio_::boolean ) = true ) then
			point[1][x] := getCheckValue ( trianglep1x_, algebraic, &quot;Triangle Point 1 x&quot; );

			point[1][y] := getCheckValue ( trianglep1x_, algebraic, &quot;Triangle Point 1 y&quot; );
	
			point[2][x] := getCheckValue ( trianglep2x_, algebraic, &quot;Triangle Point 2 x&quot; );

			point[2][y] := getCheckValue ( trianglep2y_, algebraic, &quot;Triangle Point 2 y&quot; );

			point[3][x] := getCheckValue ( trianglep3x_, algebraic, &quot;Triangle Point 3 x&quot; );

			point[3][y] := getCheckValue ( trianglep3y_, algebraic, &quot;Triangle Point 3 y&quot; );


			dom := Triangle ( &lt; point[1][x], point[1][y] &gt;, 
					  &lt; point[2][x], point[2][y] &gt;, 
					  &lt; point[3][x], point[3][y] &gt; );

			domstr := sprintf ( &quot;Triangle ( &lt; %a, %a &gt;,  &lt; %a, %a &gt;, &lt; %a, %a &gt; )&quot;,
						point[1][x], point[1][y], 
						point[2][x], point[2][y], 
						point[3][x], point[3][y] ); 

		elif ( Get ( rectangleradio_::boolean ) = true ) then
			range[x][min] := getCheckValue ( recxmin_, algebraic, &quot;Rectangle x minimum&quot; );

			range[x][max] := getCheckValue ( recxmax_, algebraic, &quot;Rectangle x maximum&quot; );


			range[y][min] := getCheckValue ( recymin_, algebraic, &quot;Rectangle y minimum&quot; );

			range[y][max] := getCheckValue ( recymax_, algebraic, &quot;Rectangle y maximum&quot; );


			dom := Rectangle ( range[x][min]..range[x][max], range[y][min]..range[y][max] );


			domstr := sprintf(&quot;Rectangle ( %a..%a, %a..%a )&quot;,
					range[x][min], range[x][max], range[y][min],range[y][max] );

		elif ( Get ( circleradio_::boolean ) = true ) then
			h := getCheckValue ( circlecenterx_, algebraic, &quot;Circle center h&quot; );
			k := getCheckValue ( circlecentery_, algebraic, &quot;Circle center k&quot; );
			r := getCheckValue ( circleradius_, algebraic, &quot;Circle radius&quot; );
			dom := Circle ( &lt; h , k &gt;, r );

			domstr := sprintf (&quot;Circle ( &lt; %a , %a &gt;, %a )&quot;, h, k, r );

			Sectorable := true;
		elif ( Get ( ellipseradio_::boolean ) = true ) then
			h := getCheckValue ( ellipsecenterx_, algebraic, &quot;Ellipse center h&quot; );
			k := getCheckValue ( ellipsecentery_, algebraic, &quot;Ellipse center k&quot; );
			a := getCheckValue ( ellipsesemimajor_, algebraic, &quot;Ellipse Semimajor axis&quot; );

			b := getCheckValue ( ellipsesemiminor_, algebraic, &quot;Ellipse Semiminor axis&quot; );

			if not ( goterror ) then
				eqn := -1 + (x - h)^2 / a^2  + (y - k)^2 / b^2;
			end if;

			Sectorable := true;

			dom := Ellipse ( eqn );

			domstr := sprintf (&quot;Ellipse ( %a )&quot;, eqn );

		elif ( Get ( region2dradio_::boolean ) = true ) then
			range[x][min] := getCheckValue ( region2dxmin_, algebraic, &quot;2D Region x minimum&quot; );

			range[x][max] := getCheckValue ( region2dxmax_, algebraic, &quot;2D Region x maximum&quot; );


			range[y][min] := getCheckValue ( region2dymin_, algebraic, &quot;2D Region y minimum&quot; );

			range[y][max] := getCheckValue ( region2dymax_, algebraic, &quot;2D Region y maximum&quot; );


			dom := Region ( range[x][min]..range[x][max], range[y][min]..range[y][max] );

			domstr := sprintf(&quot;Region ( %a..%a, %a..%a )&quot;,
					range[x][min], range[x][max], range[y][min],range[y][max] );
		elif ( Get ( region3dradio_::boolean ) = true ) then
			range[x][min] := getCheckValue ( region3dxmin_, algebraic, &quot;3D Region x minimum&quot; );

			range[x][max] := getCheckValue ( region3dxmax_, algebraic, &quot;3D Region x maximum&quot; );


			range[y][min] := getCheckValue ( region3dymin_, algebraic, &quot;3D Region y minimum&quot; );

			range[y][max] := getCheckValue ( region3dymax_, algebraic, &quot;3D Region y maximum&quot; );


			range[z][min] := getCheckValue ( region3dzmin_, algebraic, &quot;3D Region z minimum&quot; );

			range[z][max] := getCheckValue ( region3dzmax_, algebraic, &quot;3D Region z maximum&quot; );


			dom := Region ( range[x][min]..range[x][max],
					range[y][min]..range[y][max],
					range[z][min]..range[z][max] );

			domstr := sprintf(&quot;Region ( %a..%a, %a..%a, %a..%a )&quot;,
					range[x][min], range[x][max], 
					range[y][min], range[y][max],
					range[z][min], range[z][max] );

		elif ( Get ( sphereradio_::boolean ) = true ) then
			point[1][x] := getCheckValue ( spherecx_, algebraic, &quot;Sphere center x&quot; );
			point[1][y] := getCheckValue ( spherecy_, algebraic, &quot;Sphere center y&quot; );
			point[1][z] := getCheckValue ( spherecy_, algebraic, &quot;Sphere center z&quot; );
			r := getCheckValue ( spherer_, algebraic, &quot;Sphere radius&quot; );

			dom := Sphere ( &lt; point[1][x], point[1][y], point[1][z] &gt;, r );

			domstr := sprintf (&quot;Sphere ( &lt; %a , %a, %a &gt;, %a )&quot;, 
					point[1][x], point[1][y], point[1][z], r );

		elif ( Get ( parrradio_::boolean ) = true ) then
			range[x][min] := getCheckValue ( parrxmin_, algebraic, &quot;Parallelepiped x minimum&quot; );

			range[x][max] := getCheckValue ( parrxmax_, algebraic, &quot;Parallelepiped x maximum&quot; );


			range[y][min] := getCheckValue ( parrymin_, algebraic, &quot;Parallelepiped y minimum&quot; );

			range[y][max] := getCheckValue ( parrymax_, algebraic, &quot;Parallelepiped y maximum&quot; );


			range[z][min] := getCheckValue ( parrzmin_, algebraic, &quot;Parallelepiped z minimum&quot; );

			range[z][max] := getCheckValue ( parrzmax_, algebraic, &quot;Parallelepiped z maximum&quot; );


			dom := Parallelepiped ( range[x][min]..range[x][max],
					        range[y][min]..range[y][max],
					        range[z][min]..range[z][max] );

			domstr := sprintf(&quot;Parallelepiped ( %a..%a, %a..%a, %a..%a )&quot;,
					range[x][min], range[x][max], 
					range[y][min], range[y][max],
					range[z][min], range[z][max] );

		elif ( Get ( tetraradio_::boolean ) = true ) then
			point[1][x] := getCheckValue ( tetrav1x_, algebraic, &quot;Tetrahedron v1 x&quot; );
			point[1][y] := getCheckValue ( tetrav1y_, algebraic, &quot;Tetrahedron v1 y&quot; );
			point[1][z] := getCheckValue ( tetrav1z_, algebraic, &quot;Tetrahedron v1 z&quot; );

			point[2][x] := getCheckValue ( tetrav1x_, algebraic, &quot;Tetrahedron v2 x&quot; );
			point[2][y] := getCheckValue ( tetrav1y_, algebraic, &quot;Tetrahedron v2 y&quot; );
			point[2][z] := getCheckValue ( tetrav1z_, algebraic, &quot;Tetrahedron v2 z&quot; );

			point[3][x] := getCheckValue ( tetrav1x_, algebraic, &quot;Tetrahedron v3 x&quot; );
			point[3][y] := getCheckValue ( tetrav1y_, algebraic, &quot;Tetrahedron v3 y&quot; );
			point[3][z] := getCheckValue ( tetrav1z_, algebraic, &quot;Tetrahedron v3 z&quot; );

			point[4][x] := getCheckValue ( tetrav1x_, algebraic, &quot;Tetrahedron v4 x&quot; );
			point[4][y] := getCheckValue ( tetrav1y_, algebraic, &quot;Tetrahedron v4 y&quot; );
			point[4][z] := getCheckValue ( tetrav1z_, algebraic, &quot;Tetrahedron v4 z&quot; );

			dom := Tetrahedron ( &lt; point[1][x], point[1][y], point[1][z] &gt;,
					     &lt; point[2][x], point[2][y], point[2][z] &gt;,
					     &lt; point[3][x], point[3][y], point[3][z] &gt;,
					     &lt; point[4][x], point[4][y], point[4][z] &gt; );

domstr := sprintf (&quot;Tetrahedron ( &lt; %a , %a, %a &gt;, &lt; %a , %a, %a &gt;, &lt; %a , %a, %a &gt;, &lt; %a , %a, %a &gt; )&quot;, 

					point[1][x], point[1][y], point[1][z],
					point[2][x], point[2][y], point[2][z],
					point[3][x], point[3][y], point[3][z],
					point[4][x], point[4][y], point[4][z] );
		else
		end if;

		if ( not ( goterror) and Get( Sectorcheck_::boolean ) and Sectorable = true ) then

			start := getCheckValue ( Sectorstart_, algebraic, &quot;Sector start&quot; );
			finish := getCheckValue ( Sectorfinish_, algebraic, &quot;Sector finish&quot; );

			dom := Sector ( dom, start, finish );

			domstr := sprintf (&quot;Sector ( %s, %a, %a )&quot;, domstr, start, finish);
		end if;

		F := getCheckValue ( function_, algebraic, &quot;Vector Field f&quot; );
		
		par[1] := getCheckValue ( x_, algebraic, &quot;x Parameter&quot; );
		par[2] := getCheckValue ( y_, algebraic, &quot;y Parameter&quot; );
		
		if getCheckValue ( threedradio_, boolean, &quot;Dimension&quot; ) then
			par[3] := getCheckValue ( z_, algebraic, &quot;z Parameter&quot; );
			params := [ par[1], par[2], par[3] ];
		else
			params := [ par[1], par[2] ];
		end if;
		
		command := sprintf (&quot;int( %a, %a=%s )&quot;, F, params, domstr );

		Set ( command_= command );
		(F, params=dom );
	end use;
end proc:

evalNumeric := proc()
	local result, parms;

	use Maplets[Tools] in
		parms := getparams();

			if ( not ( goterror ) ) then
				result := VectorCalculus:-int( parms );
				Set ( result_ = evalf( result ) );

				showIntegral();
			else
				Set ( result_ = &quot;Error&quot; );
				goterror := false;
			end if;
	end use;
end proc:

evalSymbolic := proc()
	local result, parms;
	use Maplets[Tools] in
		parms := getparams();
		if ( not ( goterror ) ) then
			result := VectorCalculus:-int( parms );
			Set ( result_ = result );
			showIntegral();
		else
			Set ( result_ = &quot;Error&quot; );
			goterror := false;
		end if;

	end use;
end proc:

showIntegral := proc()
	local intres, parms;
	use Maplets[Tools] in
		parms := getparams();
		if ( not ( goterror ) ) then
			intres := VectorCalculus:-int( parms, inert );
			Set ( integral_ = intres );
		else
			Set ( integral_ = &quot;Error&quot; );
			goterror := false;
		end if;
	end use;
end proc:

showOnlyIntegral := proc()
	use Maplets[Tools] in
		
		Set ( result_ = &quot;&quot; );
	
		showIntegral();
	end use;
end proc:

showHelp := proc()
	local MAPLET, message;

message := &quot;  To use this Maplet, first enter the integrand of the iterated integral.

		Then choose 2D for a double integral or 3D for a triple integral.
		Next, in the fields to the right of '[x,y] =' (or '[x,y,z] =') enter the integration variables,
		which should agree with those in the integrand.

		Now, click on 'Enter 2D Region' or 'Enter 3D Region', depending on which type of integral
		you have chosen.

		In the window that appears, choose a region over which the integration is to take place. 
		Enter appropriate parameters for the chosen region:
		- Triangle - Enter the coordinates for each of the triangle's vertices.
		- Rectangle - Enter the left and right bounds for x, and the lower and upper bounds for y.
		- Circle - Enter the coordinates of the center of the circle and the circle's radius.
		- Ellipse - Enter the coordinates for the center of the ellipse as well as the
		            lengths of the semimajor and semiminor axes.
		- 2D Region - If the variables are [x, y] then the iterated integral formed will be
			dydx. Enter the bounds of the region so as to be consistent with this
			order of integration. 
		- Sphere - Enter the coordinates of the center of the sphere and the sphere's radius.
		- Parallelepiped - Enter the bounding values for the x, y, and z coordinates, thereby defining
		            a rectangular box in three dimensions.
		- Tetrahedron - Enter the coordinates for the four points of the tetrahedron.
		- 3D Region - If the variables are [x,y,z] then the iterated integral formed will be
		            dz dy dx.  Enter the bounds of the region so as to be consistent with
		            this order of integration.
		To integrate over a sector of a circle or ellipse, select sector, and provide the
		initial and terminal angles defining the sector.

		Finally, Click on 'Display Integral' to show the integral that will be evaluated.
		Click on 'Symbolic Evaluation' to evaluate the integral exactly.
		Click on 'Numeric Evaluation' to obtain a floating-point answer.

		The integral and its value will be displayed in the bottom left and right
		windows, respectively. The Maple command to generate the result will be 
		displayed in the bottom field&quot;;

	use Maplets[Elements] in
		MAPLET := Maplet(
				MessageDialog( type=information,
						caption=message,
						title=&quot;Multiple Integration Maplet Help&quot;,
						onapprove=Shutdown()
						)
			):
	
		Maplets[Display](MAPLET);
	end use;
end proc;


MultipleIntMaplet := proc()
	local OPTIONS, STARTUP, WINDOW, MAPLET, COL1, COL2, COL3, LINE1, LINE2, LINE3,
		TWODWIN, THREEDWIN, EDITREGION,
		SECTOR, CIRCLE, ELLIPSE, TRIANGLE, PARALLELEPIPED, BUTTONS, RESULT,
		GROUPS, BUTRES, INTEGRAL,
		HELP, CLOSE, RECTANGLE, SPHERE, TETRAHEDRON, REGION2D, REGION3D, SETREGION,
		SETTRIANGLE, SETRECTANGLE, SETCIRCLE, SETELLIPSE,
		SETREGION2D, SETREGION3D, SETSPHERE, SETPARR, SETTETRA, SETSECTOR, SET2D, SET3D,
		EVALSYMBOLIC, EVALNUMERIC, SHOWINTEGRAL, FUNCTION, TWOD, THREED, OUTPUT;
	use Maplets, Maplets[Elements] in

		goterror := false;
		OPTIONS := title=&quot;Multiple Integration Maplet&quot;;

		SETREGION := Evaluate ( function=setregion );
		SETTRIANGLE := Evaluate ( function=settriangle );
		SETRECTANGLE := Evaluate ( function=setrectangle );
		SETCIRCLE := Evaluate ( function=setcircle );
		SETELLIPSE := Evaluate ( function=setellipse );
		SETREGION2D := Evaluate ( function=setregion2d ); 
		SETREGION3D := Evaluate ( function=setregion3d );
		SETSPHERE := Evaluate ( function=setsphere );
		SETPARR := Evaluate ( function=setparr );
		SETTETRA := Evaluate ( function=settetra );
		SETSECTOR := Evaluate ( function=setSector );

		EDITREGION := Action ( Evaluate ( function=editRegion ) );

		SET2D := Evaluate ( function=set2d );
		SET3D := Evaluate ( function=set3d );

		EVALSYMBOLIC := Evaluate ( function=evalSymbolic );
		EVALNUMERIC := Evaluate ( function=evalNumeric );
		SHOWINTEGRAL := Evaluate ( function=showOnlyIntegral );
		
		CLOSE := Shutdown( );
		HELP := Evaluate ( function=showHelp );

		TRIANGLE := BoxRow( inset=0, border =true, BoxColumn ( inset=0,  halign=left, BoxRow ( inset=0, 

				RadioButton[triangleradio_](&quot;Triangle&quot;, group=path_, onclick=SETTRIANGLE) ) ),

				BoxColumn ( inset = 0, 
			 	BoxRow ( inset = 0, &quot;Point 1&quot;,
					&quot;x =&quot;, TextField[trianglep1x_](width=4, onchange=SETTRIANGLE),
					&quot;y =&quot;, TextField[trianglep1y_](width=4, onchange=SETTRIANGLE) ),
				BoxRow ( inset = 0, &quot;Point 2&quot;,
					&quot;x =&quot;, TextField[trianglep2x_](width=4, onchange=SETTRIANGLE),
					&quot;y =&quot;, TextField[trianglep2y_](width=4, onchange=SETTRIANGLE) ),
				BoxRow ( inset = 0, &quot;Point 3&quot;,
					&quot;x =&quot;, TextField[trianglep3x_](width=4, onchange=SETTRIANGLE),
					&quot;y =&quot;, TextField[trianglep3y_](width=4, onchange=SETTRIANGLE) ) ) );
			
		RECTANGLE := BoxRow( inset=0, border =true, BoxColumn ( inset=0,  halign=left, BoxRow ( inset=0, 

				RadioButton[rectangleradio_]
					(&quot;Rectangle&quot;, group=path_, onclick=SETRECTANGLE) ) ),
			 	BoxColumn ( inset=0,
				BoxRow( inset=0, &quot;x =&quot;,
					TextField[recxmin_](width=4, onchange=SETRECTANGLE),
					&quot;..&quot;,
					TextField[recxmax_](width=4, onchange=SETRECTANGLE) ),
				BoxRow( inset=0, &quot;y =&quot;,
					TextField[recymin_](width=4, onchange=SETRECTANGLE),
					&quot;..&quot;,
					TextField[recymax_](width=4, onchange=SETRECTANGLE) ) ) ) ;

		CIRCLE := BoxRow( inset=0, border =true, BoxColumn ( inset=0,  halign=left, BoxRow ( inset=0, 

				RadioButton[circleradio_](&quot;Circle&quot;, group=path_, onclick=SETCIRCLE) ) ), 
				BoxColumn ( halign=left, 
					BoxRow ( 
					&quot;( h, k ) =&quot;, &quot;(&quot;, 
					TextField[circlecenterx_](width=4, onchange=SETCIRCLE), 
					&quot;,&quot;, TextField[circlecentery_](width=4, onchange=SETCIRCLE), &quot;)&quot; ),
					BoxRow ( HorizontalGlue(), &quot;r =&quot;, TextField[circleradius_](onchange=SETCIRCLE, width=4) )  ) ) ;


		ELLIPSE := BoxRow( inset=0, border =true, BoxColumn ( inset=0,  halign=left, BoxRow ( inset=0, 

				RadioButton[ellipseradio_](&quot;Ellipse&quot;, group=path_, onclick=SETELLIPSE) ) ) ,
				BoxColumn ( inset=0,
				BoxRow ( halign=right, inset = 0, &quot;( h, k ) = (&quot;,
					TextField[ellipsecenterx_]( width =5, onchange=SETELLIPSE),
					&quot;,&quot;,
					TextField[ellipsecentery_]( width=5, onchange=SETELLIPSE),
					&quot;)&quot; ),
				BoxRow ( halign=right, inset = 0, 
					&quot;semimajor axis&quot;, 
					&quot;=&quot;, 
					TextField[ellipsesemimajor_]( width=5, onchange=SETELLIPSE ) ), 
				BoxRow( halign=right, inset = 0, 
					&quot;semiminor axis&quot;, 
					&quot;=&quot;, 
					TextField[ellipsesemiminor_]( width=5, onchange=SETELLIPSE ) ) ) );


		SECTOR  := BoxRow ( inset=0, BoxColumn (inset=0, CIRCLE, ELLIPSE), BoxColumn ( inset=0,

				CheckBox[Sectorcheck_]( &quot;Sector&quot; ), 
				BoxRow( inset=0, halign=right, &quot;Start Angle&quot;, 
					TextField[Sectorstart_]( width=4, onchange=SETSECTOR ) ),
				BoxRow( inset=0, halign=right, &quot;Finish Angle&quot;, 
					TextField[Sectorfinish_](width=4, onchange=SETSECTOR) ) ) );

		REGION2D := BoxRow( inset=0, border =true, BoxColumn ( inset=0,  halign=left, BoxRow ( inset=0, 

				RadioButton[region2dradio_](&quot;2D Region&quot;, group=path_, onclick=SETREGION2D) ) ),

			 	BoxColumn ( inset=0, 
				BoxRow( inset=0, &quot;x =&quot;, 
					TextField[region2dxmin_](width=4, onchange=SETREGION2D),
					&quot;..&quot;,
					TextField[region2dxmax_](width=4, onchange=SETREGION2D) ),
				BoxRow( inset=0, &quot;y =&quot;, 
					TextField[region2dymin_](width=4, onchange=SETREGION2D),
					&quot;..&quot;,
					TextField[region2dymax_](width=4, onchange=SETREGION2D) ) ) ) ;

		REGION3D := BoxRow( inset=0, border =true, BoxColumn ( inset=0,  halign=left, BoxRow ( inset=0, 

				RadioButton[region3dradio_](&quot;3D Region&quot;, group=path_, onclick=SETREGION3D) ) ),

			 	BoxColumn ( inset=0, 
				BoxRow( inset=0, &quot;x =&quot;, 
					TextField[region3dxmin_](width=4, onchange=SETREGION3D),
					&quot;..&quot;,
					TextField[region3dxmax_](width=4, onchange=SETREGION3D) ),
				BoxRow( inset=0, &quot;y =&quot;, 
					TextField[region3dymin_](width=4, onchange=SETREGION3D),
					&quot;..&quot;,
					TextField[region3dymax_](width=4, onchange=SETREGION3D) ),
				BoxRow( inset=0, &quot;z =&quot;, 
					TextField[region3dzmin_](width=4, onchange=SETREGION3D),
					&quot;..&quot;,
					TextField[region3dzmax_](width=4, onchange=SETREGION3D) ) ) ) ;

		SPHERE := BoxRow( inset=0, border =true, BoxColumn (  inset=0, halign=left, BoxRow ( inset=0, 

				RadioButton[sphereradio_](&quot;Sphere&quot;, group=path_, onclick=SETSPHERE) ) ),
			 	BoxColumn ( BoxRow( &quot;Center (x, y, z) = (&quot;, 
					TextField[spherecx_](width=4, onchange=SETSPHERE), &quot;,&quot;,
					TextField[spherecy_](width=4, onchange=SETSPHERE), &quot;,&quot;,
					TextField[spherecz_](width=4, onchange=SETSPHERE), &quot;)&quot; ),
				BoxColumn ( BoxRow( &quot;Radius = &quot;, 
					TextField[spherer_](width=4, onchange=SETSPHERE) ) ) ) );

		PARALLELEPIPED := BoxRow( inset=0, border =true, BoxColumn ( inset=0,  halign=left, BoxRow ( inset=0, 

				RadioButton[parrradio_](&quot;Parallelepiped&quot;, group=path_, onclick=SETPARR) ) ),
			 	BoxColumn ( inset=0,
				BoxRow ( inset=0, &quot;x =&quot;,
					TextField[parrxmin_](width=4, onchange=SETPARR),
					&quot;..&quot;, 
					TextField[parrxmax_](width=4, onchange=SETPARR) ),
				BoxRow ( inset=0, &quot;y =&quot;,
					TextField[parrymin_](width=4, onchange=SETPARR),
					&quot;..&quot;, 
					TextField[parrymax_](width=4, onchange=SETPARR) ),
				BoxRow ( inset=0, &quot;z =&quot;,
					TextField[parrzmin_](width=4, onchange=SETPARR),
					&quot;..&quot;, 
					TextField[parrzmax_](width=4, onchange=SETPARR) ) ) ) ;

		TETRAHEDRON := BoxRow( inset=0, border =true, BoxColumn ( inset=0,  halign=left, BoxRow ( inset=0, 

				RadioButton[tetraradio_](&quot;Tetrahedron&quot;, group=path_, onclick=SETTETRA) ) ),
			 	BoxColumn ( inset = 0, 
				BoxRow ( inset = 0, &quot;p1 = (&quot;, 
					TextField[tetrav1x_](width=4, onchange=SETTETRA),
					&quot;,&quot;,
					TextField[tetrav1y_](width=4, onchange=SETTETRA),
					&quot;,&quot;,
					TextField[tetrav1z_](width=4, onchange=SETTETRA), &quot;)&quot; ),
				BoxRow ( inset = 0, &quot;p2 = (&quot;, 
					TextField[tetrav2x_](width=4, onchange=SETTETRA),
					&quot;,&quot;,
					TextField[tetrav2y_](width=4, onchange=SETTETRA),
					&quot;,&quot;,
					TextField[tetrav2z_](width=4, onchange=SETTETRA), &quot;)&quot; ),
				BoxRow ( inset = 0, &quot;p3 = (&quot;, 
					TextField[tetrav3x_](width=4, onchange=SETTETRA),
					&quot;,&quot;,
					TextField[tetrav3y_](width=4, onchange=SETTETRA),
					&quot;,&quot;,
					TextField[tetrav3z_](width=4, onchange=SETTETRA), &quot;)&quot; ),
				BoxRow ( inset = 0, &quot;p4 = (&quot;,
					TextField[tetrav4x_](width=4, onchange=SETTETRA),
					&quot;,&quot;,
					TextField[tetrav4y_](width=4, onchange=SETTETRA),
					&quot;,&quot;,
					TextField[tetrav4z_](width=4, onchange=SETTETRA), &quot;)&quot; ) ) ) ;		

		RESULT	:= MathMLViewer[result_] (height=70, width=150);

		INTEGRAL := MathMLViewer[integral_] (height=70, width=500);


		FUNCTION := BoxColumn ( BoxRow ( &quot;Function = &quot;,TextField[function_]( width = 60) ),
				BoxRow ( &quot;Dimensions:&quot;,
					RadioButton[twodradio_]
						(&quot;2D&quot;, group=dimension_, onclick=SET2D),
					RadioButton[threedradio_]
						(&quot;3D&quot;, value=true, group=dimension_, onclick=SET3D),
					Button[edit2dregbut_](&quot;Edit 2D Region&quot;, visible = false, width = 150, 
						onclick= RunWindow( twodwin_) ),
					Button[edit3dregbut_](&quot;Edit 3D Region&quot;, visible = true, width = 150, 
						onclick= RunWindow( threedwin_) ),
					Label[dimtext_] (&quot;[x, y, z] = [&quot;), 
					TextField[x_](width=4), &quot;,&quot;,
					TextField[y_](width=4), Label[zseperator_](&quot;,&quot;),
					TextField[z_](width=4), Label[end_](&quot;]&quot;) ) );

		TWOD	:= BoxColumn[twodcol_] ( TRIANGLE, RECTANGLE, SECTOR, REGION2D, 
				Button( &quot;OK&quot;, CloseWindow( twodwin_ ) ) );

		
		THREED	:= BoxColumn[threedcol_] ( SPHERE, PARALLELEPIPED, TETRAHEDRON, REGION3D, 
				Button( &quot;OK&quot;, CloseWindow( threedwin_ ) ) );


		TWODWIN	:= Window[twodwin_]( title=&quot;Enter 2D Region&quot;, TWOD );

		THREEDWIN:= Window[threedwin_]( title=&quot;Enter 3D Region&quot;, THREED );

		BUTTONS[1] := BoxRow ( Button( &quot;Display Integral&quot;, SHOWINTEGRAL, width=170 ),
				Button( &quot;Symbolic Evaluation&quot;, EVALSYMBOLIC, width=170 ),
				Button( &quot;Numeric Evaluation&quot;, EVALNUMERIC, width=170 ) );				

		BUTTONS[2] := BoxRow ( Button ( &quot;Help&quot;, HELP, width=80 ), Button ( &quot;Close&quot;, CLOSE, width=80 ) );


		OUTPUT := BoxColumn ( BoxRow ( INTEGRAL, &quot;=&quot;, RESULT ),
			BoxRow( &quot;Maple Command:&quot;, TextField[command_](width=72) ) );

		LINE1 := FUNCTION; 

		LINE2 := BoxRow (
			BoxColumn ( BUTTONS[1], OUTPUT, BUTTONS[2] ) );

		WINDOW := Window[W_]( OPTIONS,  
			BoxLayout ( inset=0, BoxColumn( LINE1, LINE2 ) ) );

		GROUPS := ButtonGroup[type_]( ), ButtonGroup[path_](), ButtonGroup[dimension_]();


		MAPLET := Maplet( onstartup=RunWindow(W_), WINDOW, TWODWIN, THREEDWIN, GROUPS );

		Display( MAPLET );

	end use;
end proc:


	MultipleIntMaplet();
end proc:

						

MultipleIntInteractive();

end module;
end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal">An abbreviated Help file is available from within the Maplet. </Text-field>
<Text-field style="Text" layout="Normal">Extended help is available in the attached collapsed section.</Text-field>
<Text-field style="Text" layout="Normal">Inserting <Font italic="true">Minimal Content</Font> excludes the Extended Help section.</Text-field>
<Text-field style="Text" layout="Normal">Inserting <Font italic="true">Default Content</Font> includes the Extended Help section.</Text-field></Table-Cell></Table-Row></Table><Presentation-Block>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 31</Font>   The Multiple Integration Maplet accessed by task template</Text-field></Table-Cell></Table-Row></Table><Presentation-Block>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="Text" layout="Normal">For example, to integrate <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> over the planar region bounded by the curves <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JJW1zdXBHRiQ2JS1GLDYlUSJ4RidGL0YyLUYjNiUtSSNtbkdGJDYkUSIyRidGOUYvRjIvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjk=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JJW1zdXBHRiQ2JS1GLDYlUSJ4RidGL0YyLUYjNiUtSSNtbkdGJDYkUSIyRidGOUYvRjIvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjk=</Equation> and <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GIzYlLUYsNiNRIUYnLUkmbXNxcnRHRiQ2Iy1GIzYkLUYsNiVRInhGJ0YvRjJGOUY5RlFGOQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GIzYlLUYsNiNRIUYnLUkmbXNxcnRHRiQ2Iy1GIzYkLUYsNiVRInhGJ0YvRjJGOUY5RlFGOQ==</Equation>, fill in the secondary panel as shown in Table 32.</Text-field>
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<Text-field style="Text" layout="Normal">The initial panel for the maplet is show in Table 33. The function <Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGQUZBLUY+Ni1RIj1GJ0ZBRkMvRkdGRUZIRkpGTEZORlAvRlNRLDAuMjc3Nzc3OGVtRicvRlZGam5GOi1GPjYtUSJ+RidGQUZDRmhuRkhGSkZMRk5GUEZSL0ZWRlRGWEZB</Equation> is entered, the variables <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation> and <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation> are entered, the 2D radio button is selected, and the panel shown in Table 32 appears. The 2D Region radio button is selected in that panel, and the bounds describing the planar region are entered.</Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="Text" foreground="[0,0,255]" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 33</Font><Font foreground="[0,0,255]">   </Font><Font foreground="[0,0,0]">Initial panel for the Multiple Integration Maplet</Font></Text-field></Table-Cell></Table-Row></Table><Presentation-Block>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="Text" layout="Normal">After the secondary panel is closed, the Display Integral and Symbolic Evaluation buttons are pressed. Note the explicit display of the relevant <Font bold="true">int</Font> command at the bottom of the primary panel.</Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="Text" layout="Normal">There is one shortcoming of the Multiple Integration Maplet that the task templates in Tables 23, 24, and 28 overcome. Suppose, for example, the integral of <Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYoLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGPS1GLDYlUSJ6RidGL0YyRkFGQS1GPjYtUSI9RidGQUZDL0ZHRkVGSEZKRkxGTkZQL0ZTUSwwLjI3Nzc3NzhlbUYnL0ZWRl1vRmVuRkE=</Equation> over the unit sphere centered at the origin is to be computed. The Multiple Integration Maplet would construct the integral</Text-field>
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<Text-field style="Text" layout="Normal">and display the command</Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred">int(z, [x, y, z] = Sphere(&lt;0, 0, 0&gt;, 1), inert)</Text-field>
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<Text-field style="Text" layout="Normal">The letters in the list <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYmLUYjNigtSSNtaUdGJDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiLEYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYlUSJ5RidGNEY3RjotRjE2JVEiekYnRjRGN0Y+Rj4vJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRidGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYmLUYjNigtSSNtaUdGJDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiLEYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYlUSJ5RidGNEY3RjotRjE2JVEiekYnRjRGN0Y+Rj4vJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRidGPg==</Equation> are interpreted by Maple as <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIixGJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRiw2JVEnJiM5NjY7RidGL0YyRjUtRiw2JVEnJiM5NTI7RidGL0YyRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIixGJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRiw2JVEnJiM5NjY7RidGL0YyRjUtRiw2JVEnJiM5NTI7RidGL0YyRjI=</Equation>, respectively. The volume element <Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYlLUkjbW5HRiQ2JFEiMkYnRjUvRjNRJXRydWVGJy9GNlEnaXRhbGljRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEifkYnRjUvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZZLUYvNiVRJHNpbkYnRjJGNS1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYvNiVRJyYjOTY2O0YnRjJGNUY1RjVGNQ==</Equation> has correctly been included, and the variable <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation> has correctly been converted to spherical coordinates: <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>. Given that the integration variables are actually <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIixGJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRiw2JVEnJiM5NjY7RidGL0YyRjUtRiw2JVEnJiM5NTI7RidGL0YyRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIixGJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRiw2JVEnJiM5NjY7RidGL0YyRjUtRiw2JVEnJiM5NTI7RidGL0YyRjI=</Equation>, the desired integral has been properly constructed.</Text-field>
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<Text-field style="Text" layout="Normal">To display the integral</Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
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<Text-field style="Text" layout="Normal">requires the syntax</Text-field>
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<Text-field style="Text" layout="Normal">but unfortunately, the Multiple Integration Maplet does not have provision for the option of including a list of variable names within the definition of the region of integration.</Text-field>
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<Text-field style="Heading 1" layout="Heading 1">Space Curves Tutor</Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal">The Space Curves tutor is an interface to the Frenet-Serret formalism for plane and space curves. Thus, given such a curve, the tutor draws the curve and plots the triad of tangent, principal normal, and binormal vectors. These frames can be animated to move along the curve. Any one of these three vectors can be isolated and graphed along the curve. For space curves, the osculating circle and the torsion are graphed, and for any curve, the curvature is graphed.</Text-field>
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<Text-field style="Text" layout="Normal">Table 34 shows the default space curve for this tutor.</Text-field>
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<Text-field style="Text" layout="Normal">We have modified the settings slightly. Instead of the default 5 frames, we have chosen just 1, and have used the Plot Options button to change the axis style to &quot;frame&quot; rather than the default &quot;normal.&quot; The unit tangent vector is drawn in blue; the unit (principal) normal, in green; and the unit binormal, in magenta.</Text-field>
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<Text-field style="Text" layout="Normal">Of course, the Frenet-Serret formalism is also available in the Context Menu, which contains the options TNB Frame, Tangent Vector, Principal Normal, Binormal Vector, Curvature, Torsion, and Radius of Curvature.</Text-field>
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<Text-field style="Text" layout="Normal">It is also possible to implement these calculations stepwise, from first principles, as we summarize in Table 35.</Text-field>
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<Text-field style="Text" layout="Normal">Loading <Hyperlink linktarget="Help:VectorCalculus" hyperlink="true"><Font style="Hyperlink">VectorCalculus</Font></Hyperlink></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEsQmFzaXNGb3JtYXRGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNiQtRiM2JS1GLDYlUSZmYWxzZUYnRi9GMi8lK2V4ZWN1dGFibGVHRjwvRjNRJ25vcm1hbEYnRj8tSSNtb0dGJDYtUSI6RidGPy8lJmZlbmNlR0Y8LyUqc2VwYXJhdG9yR0Y8LyUpc3RyZXRjaHlHRjwvJSpzeW1tZXRyaWNHRjwvJShsYXJnZW9wR0Y8LyUubW92YWJsZWxpbWl0c0dGPC8lJ2FjY2VudEdGPC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlVGPUY/">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEsQmFzaXNGb3JtYXRGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNiQtRiM2Iy1GLDYlUSZmYWxzZUYnRi9GMi9GM1Enbm9ybWFsRictSSNtb0dGJDYtUSI6RidGPS8lJmZlbmNlR0Y8LyUqc2VwYXJhdG9yR0Y8LyUpc3RyZXRjaHlHRjwvJSpzeW1tZXRyaWNHRjwvJShsYXJnZW9wR0Y8LyUubW92YWJsZWxpbWl0c0dGPC8lJ2FjY2VudEdGPC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlM=</Equation></Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8398" drawlabel="false">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal">Define curve</Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8384" drawlabel="false" redirect-target="L8401">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiUkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSSNtb0dGJDYtUSomY29sb25lcTtGJy9GNlEnbm9ybWFsRicvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZQLUkobWZlbmNlZEdGJDYmLUYjNiktRiw2JVEkY29zRidGMkY+LUZUNiQtRiM2Iy1GLDYlUSJ0RicvRjNGMS9GNlEnaXRhbGljRidGPi1GOzYtUSIsRidGPkZAL0ZDRjFGREZGRkhGSkZML0ZPUSYwLjBlbUYnL0ZSUSwwLjMzMzMzMzNlbUYnLUYsNiVRJHNpbkYnRjJGPkZlbkZfb0ZpbkY+LyUlb3BlbkdRJyZsYW5nO0YnLyUmY2xvc2VHUScmcmFuZztGJw==</Equation></Text-field>
</Input>
<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L8401" drawlabel="false" redirect-source="L8384">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L8384" view="label" executable="true"></Label>); # input placeholder</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIqIT0lcF0i</Equation></Text-field>
</Output>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkmbWZyYWNHRiQ2KC1JI21pR0YkNiVRI2RzRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRi82JVEjZHRGJ0YyRjVGMkY1LyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZCLyUpYmV2ZWxsZWRHUSZmYWxzZUYnL0Y2USdub3JtYWxGJw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkmbWZyYWNHRiQ2KC1JI21pR0YkNiVRI2RzRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRi82JVEjZHRGJ0YyRjVGMkY1LyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZCLyUpYmV2ZWxsZWRHUSZmYWxzZUYnL0Y2USdub3JtYWxGJw==</Equation></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8386" drawlabel="false" redirect-target="L8405">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnRjIvJSZmZW5jZUdGMS8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0YxLyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjEvJSdhY2NlbnRHRjEvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZJLUkobWZlbmNlZEdGJDYmLUYjNiUtSSZtb3ZlckdGJDYlLUYsNidRIlJGJy8lJWJvbGRHUSV0cnVlRidGLy9GM1ElYm9sZEYnLyUrZm9udHdlaWdodEdGZW4tRiM2JS1GNjYtUSIuRidGMkY5RjtGPUY/RkFGQ0ZFL0ZIUSYwLjBlbUYnL0ZLRl5vL0YwRlkvRjNRJ2l0YWxpY0YnL0ZGRlkvJStleGVjdXRhYmxlR0YxRjJGMi8lJW9wZW5HUSYmcGFyO0YnLyUmY2xvc2VHRmhvRmRvRjI=">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</Equation></Text-field>
</Input>
<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L8405" drawlabel="false" redirect-source="L8386">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L8386" view="label" executable="true"></Label>); # input placeholder</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkmbXNxcnRHRiQ2Iy1JI21uR0YkNiRRIjJGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMg==">KiQpIiIjIyIiIkYkRiY=</Equation></Text-field>
</Output>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal">Unit tangent vector</Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8387" drawlabel="false" redirect-target="L8407">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
</Input>
<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L8407" drawlabel="false" redirect-source="L8387">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L8387" view="label" executable="true"></Label>); # input placeholder</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIqN2A8XyI=</Equation></Text-field>
</Output>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal">Curvature</Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8424" drawlabel="false" redirect-target="L8428">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEoJmthcHBhO0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSomY29sb25lcTtGJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSS1JKG1mZW5jZWRHRiQ2Ji1GIzYjLUkmbWZyYWNHRiQ2KC1GIzYkLUYsNiVRJWRpZmZGJy9GMFEldHJ1ZUYnL0YzUSdpdGFsaWNGJy1GTTYkLUYjNiUtRiw2J1EiVEYnLyUlYm9sZEdGWkYvL0YzUSVib2xkRicvJStmb250d2VpZ2h0R0Zhby1GNjYtUSIsRidGMkY5L0Y8RlpGPUY/RkFGQ0ZFL0ZIUSYwLjBlbUYnL0ZLUSwwLjMzMzMzMzNlbUYnLUYsNiVRInRGJ0ZZRmVuRjItRiM2Iy1GLDYlUSYmcmhvO0YnRi9GMi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGaXAvJSliZXZlbGxlZEdGMUYyLyUlb3BlbkdRJiZwYXI7RicvJSZjbG9zZUdGYHE=</Equation></Text-field>
</Input>
<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L8428" drawlabel="false" redirect-source="L8424">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L8424" view="label" executable="true"></Label>); # input placeholder</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">IyIiIiIiIw==</Equation></Text-field>
</Output>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal">Principal Normal</Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8390" drawlabel="false" redirect-target="L8430">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
</Input>
<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L8430" drawlabel="false" redirect-source="L8390">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L8390" view="label" executable="true"></Label>); # input placeholder</Text-field>
</Input>
<Output>
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<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 35</Font>   Frenet-Serret formalism stepwise, by first principles</Text-field></Table-Cell></Table-Row></Table><Presentation-Block>
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<Text-field style="Heading 1" layout="Heading 1">Vector Fields Tutor</Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal">Table 36 contains an image of the Vector Fields tutor where we have changed the default three-dimensional vector field to a planar field.  The tutor draws the arrows of the field and one flow line, and integral curve for the field emanating from a given initial point.  The graph is generated by the <Font bold="true">FlowLine</Font> command of the Student <Font italic="true">VectorCalculus</Font> package.</Text-field>
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<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 36</Font>   The Vector Fields tutor</Text-field></Table-Cell></Table-Row></Table><Presentation-Block>
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<Text-field style="Text" layout="Normal">To modify the graph produced by the tutor, it is necessary to invoke the <Font bold="true">FlowLine</Font> command and impose the options inherited from the <Font bold="true">fieldplot</Font> command of the <Font italic="true">plots</Font> package. Table 37 shows what can be done to the plot working outside the tutor.</Text-field>
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</Input>
</Group></Presentation-Block><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="none" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[255,204,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><Font encoding="UTF-8">Tools\342\211\273Tasks\342\211\273Browse: Vector Calculus\342\211\273Vector Fields\342\211\273Integrate Planar Vector Field</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Table alignment="center" showinput="true" interior="group" order="row" exterior="all" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="408" separator="true"></Table-Column><Table-Column weight="386" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" family="Arial" foreground="[0,0,255]">Integrate Planar Vector Field</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" size="10" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">Plot Window                      <EC-Button id="Button395" caption="Insert Defaults:" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 
# Enter Maple commands to be executed when the specified
# action is carried out on the component.
# Use: 
#    Do( %component_name );
# and
#    Do( %component_name = value );
# to set and get properties of the component.
# You can also use arbitrary expressions
# involving components, e.g.:
#    Do( %target = %input1 + 2*%input2 );
# Note the %-prefix to each component name.
# See ?CustomizingComponents for more information.
Do(%MathContainer332 = -1);
Do(%MathContainer333 = 1);
Do(%MathContainer334 = -1);
Do(%MathContainer335 = 1);
end use; 
</MapleCode></EC-Button></Font></Text-field>
<Text-field style="Text" size="8" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"><EC-MathContainer id="MathContainer332" pixel-width="60" pixel-height="40" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEmJmxlcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGQy1JI21pR0YkNiVRInhGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRidGK0Yv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEmJmxlcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGQy1JI21pR0YkNiVRInhGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRidGK0Yv</Equation><EC-MathContainer id="MathContainer333" pixel-width="60" pixel-height="40" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>,     <EC-MathContainer id="MathContainer334" pixel-width="60" pixel-height="40" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEmJmxlcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGQy1JI21pR0YkNiVRInlGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRidGK0Yv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEmJmxlcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGQy1JI21pR0YkNiVRInlGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRidGK0Yv</Equation><EC-MathContainer id="MathContainer335" pixel-width="60" pixel-height="40" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
<Text-field style="Text" size="10" layout="Normal"></Text-field>
<Text-field style="Text" size="10" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">Vector Field</Font></Text-field>
<Text-field style="Text" layout="Normal">Component 1: <EC-MathContainer id="MathContainer336" pixel-width="300" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
<Text-field style="Text" layout="Normal">Component 2: <EC-MathContainer id="MathContainer337" pixel-width="300" pixel-height="50" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
<Text-field style="Text" size="8" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">Coordinates</Font></Text-field>
<Text-field style="Text" layout="Normal">System: <EC-ComboBox id="ComboBox16" enabled="true" visible="true" selecteditem="Cartesian">Cartesian,bipolar,cardioid,cassinian,elliptic,hyperbolic,invcassinian,logarithmic,logcosh,parabolic,polar,rose,tangent<MapleCode action="selection-event-handler"></MapleCode></EC-ComboBox>        Variables: <EC-MathContainer id="MathContainer338" pixel-width="75" pixel-height="40" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi mathvariant='normal'&gt;&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo separator='true' lspace='0.0em' rspace='0.3333333em'&gt;&amp;comma;&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer></Text-field>
<Text-field style="Text" size="8" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]" size="10">Path Parameter</Font>           <EC-Button id="Button396" caption="Insert Defaults:" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 
# Enter Maple commands to be executed when the specified
# action is carried out on the component.
# Use: 
#    Do( %component_name );
# and
#    Do( %component_name = value );
# to set and get properties of the component.
# You can also use arbitrary expressions
# involving components, e.g.:
#    Do( %target = %input1 + 2*%input2 );
# Note the %-prefix to each component name.
# See ?CustomizingComponents for more information.
Do(%MathContainer339 = -1);
Do(%MathContainer341 = 1);
Do(%MathContainer340 = t);
end use; 
</MapleCode></EC-Button></Text-field>
<Text-field style="Text" size="8" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal">      <EC-MathContainer id="MathContainer339" pixel-width="60" pixel-height="40" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLUYsNi1RJiZsZXE7RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSwwLjI3Nzc3NzhlbUYnL0ZFRkpGLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLUYsNi1RJiZsZXE7RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSwwLjI3Nzc3NzhlbUYnL0ZFRkpGLw==</Equation><EC-MathContainer id="MathContainer340" pixel-width="60" pixel-height="40" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEmJmxlcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGQ0Yv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEmJmxlcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGQ0Yv</Equation><EC-MathContainer id="MathContainer341" pixel-width="60" pixel-height="40" expression="&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000'  veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.7099999785423279' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;" visible="true"></EC-MathContainer>           <EC-Button id="Button397" caption="Enter Data" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools,VectorCalculus in 
# Enter Maple commands to be executed when the specified
# action is carried out on the component.
# Use: 
#    Do( %component_name );
# and
#    Do( %component_name = value );
# to set and get properties of the component.
# You can also use arbitrary expressions
# involving components, e.g.:
#    Do( %target = %input1 + 2*%input2 );
# Note the %-prefix to each component name.
# See ?CustomizingComponents for more information.

ESAHP:=module()
local GG,F,PP,k,S,p1,p2,q1,q2,FF,x,y,F1,F2,sys,Vars,vars,param;
export CL;
Do(XL = %MathContainer332);
Do(XR = %MathContainer333);
Do(YL = %MathContainer334);
Do(YR = %MathContainer335);
Do(TL = %MathContainer339);
Do(TR = %MathContainer341);
Do(F1 = %MathContainer336);
Do(F2 = %MathContainer337);
Do(sys = %ComboBox16);
if sys=Cartesian then sys:=cartesian;end if;
Do(Vars = %MathContainer338);
Do(param = %MathContainer340);
Do(%TextArea2 = NULL);
if F1=NULL then F1:=0;end if;
if F2=NULL then F2:=0;end if;
if F1=0 and F2=0 then Do(%TextArea2 = &quot;The zero vector field is not very interesting&quot;);return;end if;
if Vars=NULL then Do(%TextArea2 = &quot;Please provide the names of the two independent variables&quot;);return;end if;

if type([Vars], 'list'('name')) then vars:=Vars;
elif type([Vars],'list'('list'('name'))) then vars:=op(Vars);
elif type([Vars],'list'('set'('name'))) then Do(%TextArea2 = &quot;Order of items in a set {} not fixed.  Use list [] or sequence&quot;);return;
else Do(%TextArea2 = &quot;Cannot understand entry for variables&quot;);return;end if;
if nops([vars])&lt;&gt;2 then Do(%TextArea2 = &quot;Please provide the names of exactly two coordinate variables&quot;);return;end if;
F := VectorField(&lt;F1,F2&gt;,sys[vars]);

qq := GetCoordinates(F);
if not verify(indets(F,name),{op(qq)},`subset`) then 
Do(%TextArea2 = &quot;Only coordinate variables can appear in the components of F&quot;);return;end if;

if param=NULL then Do(%TextArea2 = &quot;Please provide the name of the parameter along flow lines&quot;);return;
elif not type(param,name) then Do(%TextArea2 = &quot;Cannot understand the entry for the flow-line parameter&quot;);return; 
elif not verify({param},{op(qq)},`subset`) then T:=param;
else Do(%TextArea2 = &quot;Flow line parameter cannot also be a coordinate. Use a different parameter name.&quot;);return;end if;

FF := MapToBasis(F,cartesian[x,y]);

q1 := diff(x(T),T) = eval(FF[1],[x=x(T),y=y(T)]);
q2 := diff(y(T),T) = eval(FF[2],[x=x(T),y=y(T)]);

GG := DEtools[DEplot]([q1,q2],[x(T),y(T)],T=TL..TR, x=XL..XR, y=YL..YR, arrows=medium):

Do(%Plot6 = GG);

CL := proc()
local cx,cy,H;
Do(cx = %Plot6(clickx));
Do(cy = %Plot6(clicky));
Cx := evalf(cx,8);
Cy := evalf(cy,8);
Do(%TextArea2 = sprintf(&quot;Cartesian coordinates of point clicked: %a&quot;,[Cx,Cy]));
H := dsolve({q1,q2, x(0)=cx, y(0)=cy}, {x(T),y(T)}, numeric, range=TL..TR);
GG := GG,plots[odeplot](H,[x(T),y(T)],T=TL..TR, color=black, refine=1);
Do(%Plot6 = plots[display]([GG], view=[XL..XR,YL..YR]));
end proc:

end module:

end use; 
</MapleCode></EC-Button></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="1" rowspan="1" fillcolor="[204,255,255]">
<Text-field style="Text" layout="Normal" alignment="centred"><EC-Plot id="Plot6" visible="true" pixel-width="400" pixel-height="400" continuous="false" delay="100" clickx="-4.046391752577319" clicky="-1.4175257731958761" startx="-4.046391752577319" starty="-1.4175257731958761" endx="0.3625689076718053" endy="-0.23486679555327283" clickdefault="true"><MapleCode action="drag-end-event-handler"></MapleCode><MapleCode action="click-event-handler">use DocumentTools in 
# Enter Maple commands to be executed when the specified
# action is carried out on the component.
# Use: 
#    Do( %component_name );
# and
#    Do( %component_name = value );
# to set and get properties of the component.
# You can also use arbitrary expressions
# involving components, e.g.:
#    Do( %target = %input1 + 2*%input2 );
# Note the %-prefix to each component name.
# See ?CustomizingComponents for more information.

ESAHP:-CL():

end use; 
</MapleCode><MapleCode action="drag-event-handler"></MapleCode><Plot height="400" type="two-dimensional" width="400" gridlinevisibility="1" 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<Text-field style="Text" layout="Normal" alignment="centred">  <EC-Button id="Button398" caption="Erase Graph" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 
# Enter Maple commands to be executed when the specified
# action is carried out on the component.
# Use: 
#    Do( %component_name );
# and
#    Do( %component_name = value );
# to set and get properties of the component.
# You can also use arbitrary expressions
# involving components, e.g.:
#    Do( %target = %input1 + 2*%input2 );
# Note the %-prefix to each component name.
# See ?CustomizingComponents for more information.

Do(XL = %MathContainer332);
Do(XR = %MathContainer333);
Do(YL = %MathContainer334);
Do(YR = %MathContainer335);

Do(%Plot6 = plot(0, x=XL..XR, y=YL..YR));

end use; 
</MapleCode></EC-Button>                <EC-Button id="Button399" caption="Clear All" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">use DocumentTools in 
# Enter Maple commands to be executed when the specified
# action is carried out on the component.
# Use: 
#    Do( %component_name );
# and
#    Do( %component_name = value );
# to set and get properties of the component.
# You can also use arbitrary expressions
# involving components, e.g.:
#    Do( %target = %input1 + 2*%input2 );
# Note the %-prefix to each component name.
# See ?CustomizingComponents for more information.

Do(%Plot6 = plots[display](plots[textplot]([0,0, &quot; &quot;]), axes=none));
Do(%MathContainer332 = NULL);
Do(%MathContainer333 = NULL);
Do(%MathContainer334 = NULL);
Do(%MathContainer335 = NULL);
Do(%MathContainer339 = NULL);
Do(%MathContainer341 = NULL);
Do(%MathContainer340 = NULL);
Do(%MathContainer336 = NULL);
Do(%MathContainer337 = NULL);
Do(%MathContainer338 = NULL);
Do(%TextArea2 = NULL);
end use; 
</MapleCode></EC-Button></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="2" backgroundstyle="1" rowspan="1" fillcolor="[255,255,153]">
<Text-field style="Text" layout="Normal" alignment="centred"><EC-TextArea id="TextArea2" enabled="true" visible="true" visiblecharacterwidth="80" visiblerows="1" contents="Cartesian coordinates of point clicked: [-4.0463918, -1.4175258]" editable="true" wrapping="true"><MapleCode action="content-event-handler"></MapleCode></EC-TextArea></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Font bold="true" family="Arial" foreground="[0,0,255]">Table 38</Font>   Integration of a vector field via task template</Text-field></Table-Cell></Table-Row></Table><Presentation-Block>
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<Text-field style="Text" layout="Normal">After entering the data for the field and the window in which it would be displayed, a flow line is generated by clicking on the point through which it must pass.  Multiple flow lines can be drawn on the same direction field, and the coordinates of the point clicked on and through which the flow line passes are displayed.</Text-field>
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<Text-field style="Text" layout="Normal">It is possible to integrate the flow line in both directions, as is done in Table 38.</Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8" italic="true">Legal Notice: \302\251 Maplesoft, a division of Waterloo Maple Inc. 2010. Maplesoft and Maple are trademarks of Waterloo Maple Inc. This application may contain errors and Maplesoft is not liable for any damages resulting from the use of this material. This application is intended for non-commercial, non-profit use only. Contact Maplesoft for permission if you wish to use this application in for-profit activities.</Font></Text-field>
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