plot or animate the intersection between a curve and a plane - Maple Programming Help

Home : Support : Online Help : Education : Student Packages : Multivariate Calculus : Interactive : Student/MultivariateCalculus/CrossSectionTutor

Student[MultivariateCalculus][CrossSectionTutor] - plot or animate the intersection between a curve and a plane

 Calling Sequence CrossSectionTutor() CrossSectionTutor(f(x,y), g(x,y,z)=K, x=a..b, y=c..d) CrossSectionTutor(f(x,y,z), g(x,y,z)=K, x=a..b, y=c..d, z=e..f)

Parameters

 f(x, y) - (optional) algebraic function in two variables f(x, y, z) - (optional) equation in three variables g(x, y, z) - (optional) linear algebraic function representing the plane K - (optional) constant, list, or range representing the constant in the plane equation x, y, z - (optional) variable a..b, c..d, e..f - (optional) intervals

Description

 • The CrossSectionTutor command launches a tutor interface that computes, plots, and animates the resultant cross section between plane(s) and a curve.
 If f(x,y), g(x,y,z)=K, x=a..b, y=c..d, and z=e..f are not specified, CrossSectionTutor uses defaults.
 • The CrossSection command offers equivalent capabilities to CrossSectionTutor where interaction takes place in the worksheet interface. See the Student[MultivariateCalculus][CrossSection] help page.
 • To change the default colors of the plot objects, see the Student[SetColors] help page.
 • When the CrossSectionTutor is running, interaction with the worksheet is not possible.

Examples

 > $\mathrm{with}\left(\mathrm{Student}\left[\mathrm{MultivariateCalculus}\right]\right):$
 > $\mathrm{CrossSectionTutor}\left(\right)$
 > $\mathrm{CrossSectionTutor}\left({x}^{2}+{y}^{2},x=-2..2,y=-2..2\right)$
 > $\mathrm{CrossSectionTutor}\left({x}^{2}+{y}^{2}+{z}^{2}=4,x=\left[2,1,0\right],x=-2..2,y=-2..2,z=-2..2\right)$