Maple Exercises:
[See the posted Tangent Planes and Normal Lines in Maple and
Critical Points in 3 Dimensions Maple Worksheets.]
Instructions for the Maple Exercises:
- Staple these Maple Exercises to the end of all your handwritten work.
- Write explanations in your Maple work, describing what you are doing and why. Don't just
hand-in a string of Maple computations with no explanation. The explanations can either
be written by hand, or by using "text" within Maple (just click on the "T" in the toolbar).
- Clearly label each Maple problem.
The Maple Exercises:
- Section 12.6
[See the posted Tangent Planes and Normal Lines in Maple Maple
Worksheet.]
- jh1: Consider the function f(x,y) given in section 12.6 #18, pg. 791. Find
the tangent plane and normal line at the point (1,0,0), and then find the tangent plane
and normal line at the point (0,1,0). Also, find the point of intersection of the two
normal lines. Plot all six objects (the surface, the two tangent planes, the two normal
lines, and the intersection point) on a single plot, within a suitable plot range, and
viewed from a suitable angle.
- Section 12.7
[See the posted Critical Points in 3 Dimensions Maple
Worksheet.]
- 8, 12, 16
[Solve for the critical points and find the local maxima, local minima, and
saddle points, as asked for in the text. Then plot in a suitable domain, showing
these points. Use "style=patchcontour" in the plot3d command, in order to better
illustrate the relative heights of the surfaces.]