Math 2511 - Maple 2
We already saw the “plot3d” command to plot surfaces, i.e. graphs of functions . But Maple
can also draw several surfaces in one plot. For example, if
and
then we can draw both surfaces via the Maple command:
>
Note that these functions are not accidentally chosen, but the second one is the tangent plane to the
function at the point - confirm!
1. Graph the surface and its tangent plane at the given point, choosing a domain and viewpoint so
that you get a good view of both surfaces:
a. at
b. at
Maple can plot surfaces as well as contours. For example, to draw a contour plot for
we would use the command:
>
>
Compare that with a real plot of the surface.
2. Draw contour maps for
, ,
Compare the contour plots with the actual surfaces. What are the names for these surfaces?
Maple can differentiate easily using the diff command. Or even simpler, enter an expression, press
enter, then right-click on the blue expression to pick the “Differentiate” command (note that you should
