MATH 261, Spring 2001 Due Date: Name(s):
Project 13.6c: Cylinders and Quadric Surfaces
Objective
The objective of this project is to illustrate how Maple can be used to draw cylinders and quadric surfaces.
Narrative
If you have not already done so, do Project 13.5b and read Section 13.6 in the text.
One of the limitations of implicitplot3d is that it does not always produce good graphics. Another is
that it requires a great deal of computer memory (RAM); thus you may get an "insufficient memory" error
message if your hardware is limited or your graphic is complex (and you may need to consult your local
computer guru to find out how to boost the available RAM on your computer). We will investigate better
approaches to drawing surfaces later in this course.
Tasks
1. Use Maple to draw graphics of the cylinders and quadric surfaces for problems 3, 9, 11, 17, and 19 of
Section 13.6 in the text. In each case, use the optionaxes=normal. Experiment with viewpoints and
other viewing options (other than axes=normal), as well as with domains for the variables, until you
get a good view of the surface.
At this time, make a hard copy of your typed input and Maple's responses. Then, ...
2. a) Label by hand the positive x-, y-, and z-coordinate axes on each of the graphics you produced in
Task 1.
3. b) To the right of each image, draw by hand a sketch of each surface showing the surface's main features.