Practice visualizing contour plots and graphs of functions of
two variables. Note that Maple does not show the contour
MATH 241 -- Multivariable Calculus
Graphs and Contours
October 5, 2010
Practice visualizing contour plots and graphs of functions of
two variables. Note that Maple does not show the contour
value (the "c") in contour plots. So we have to fill that in ourselves to
see the connection.
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| > | ![contourplot(`+`(`*`(`^`(y, 2)), `-`(`*`(`^`(x, 3))), x), x = -3 .. 3, y = -3 .. 3, contours = 35, grid = [50, 50])](images/GraphsAndContours_15.gif){kind=small} |
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What is this graph showing? It is called a density plot.
| > | ![densityplot(`+`(`*`(`^`(y, 2)), `-`(`*`(`^`(x, 3))), x), x = -2 .. 2, y = -2 .. 2, grid = [100, 100], contrast = 1, brightness = .6); 1](images/GraphsAndContours_19.gif){kind=small} |
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