cp /math/calclab/MA1024/Coords_start.mws ~/My_Documents

You can copy the worksheet now, but you should read through the lab
before you load it into Maple. Once you have read to the exercises,
start up Maple, load
the worksheet `Coords_start.mws`, and go through it
carefully. Then you can start working on the exercises.

To change to cylindrical coordinates from rectangular coordinates use the conversion:

To change to spherical coordinates from rectangular coordinates use the conversion:

- Given the rectangular equation for a circular paraboloid:

**A)**- Graph the equation using the domain values of , and the range values .
**B)**- Write the equation in cylindrical coordinates and then graph the equation.
**C)**- Write the equation in spherical coordinates and graph it.
**D)**- Looking at the three equations, which coordinates appears to give the simplest equation?

- Given the equation:

**A)**- Graph the equation using the domain values , and the range values .
**B)**- Write the equation in cylindrical coordinates and graph it.
**C)**- Write the equation in spherical coordinates. Then graph your equation.
**D)**- Looking at the three equations, which coordinat es appear to give the simplest equation?

- A problem from your text
__Calculus__, Early Transcendentals Version by Edwards and Penny 6th edition p 997 used to describe a bumpy sphere, waves on the surface of a small planet covered by a deep ocean, or a model of a tumor. Use Maple to plot the spherical-coordinate surface

with values of the positive number and and the positive integers and given below. How does the surface depend on the value of each of these four parameters?**A)**- , , ,
**B)**- , , ,
**C)**- , , ,
**D)**- , , ,
**E)**- , , ,
**F)**- , , ,

2007-02-19