Interactive Evaluation of a Function along Its Contours - Maple Programming Help

Interactive Evaluation of a Function along Its Contours

Description

 • This tool is designed to provide the values of $f\left(x,y\right)$ along its level curves (contours). The contour map is generated by the contourplot command in the plots package.

 • Enter the expression for $f$.
 • Bound the plot window by providing endpoints for the $x$ and $y$ ranges.
 • 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.)
 • 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

$f\left(x,y\right)=$



 $\le x\le$ $\le y\le$

Grid density:

$f\left(x,y\right)=$



 Commands Used