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Interactive Evaluation of a Function along Its Contours
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Description
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This tool is designed to provide the values of 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 .
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Bound the plot window by providing endpoints for the and 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: is evaluated on an n × n grid, where is the default (Grid density = 1). As Grid density increases to 6, n increases from 26 to 50, 60, 70, 80, and 100, respectively.
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Click on the Contour Plot button to obtain the contour map, or to update the graph after the Grid density has been changed.
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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 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.
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Download Help Document
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