Interactive Evaluation of a Function along Its Contours - Maple Help

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Interactive Evaluation of a Function along Its Contours

Description

• 

This tool is designed to provide the values of fx,y along its level curves (contours). The contour map is generated by the contourplot command in the plots package.

 

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Enter the expression for f.

• 

Bound the plot window by providing endpoints for the x and y ranges.

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Provide either a number of contours to be drawn (the default is 8) or specify function values (c) for which a contour is to be drawn.  (After clicking the appropriate radio button, to its right enter a comma-separated sequence of one or more such values.)

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Select a grid density: f is evaluated on an n × n grid, where n=25 is the default (Grid density = 1). As Grid density increases to 6, n increases from 26 to 50, 60, 70, 80, and 100, respectively.

• 

Click on the Contour Plot button to obtain the contour map, or to update the graph after the Grid density has been changed.

• 

Click on the contour map itself with the Click and Drag Manipulator ( ) , available from the Plot menu or plotting toolbar, to obtain the value of f at that point in the plane. Click-and-drag to see a continuous update of the function values as the probe is moved across the plane.

Values along Contours

fx,y= = c 

x

y

 

Grid density:

                 

fx,y=

Commands Used

plots[contourplot]


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