Math 293 Homework 11 due  Wed Nov 13, 1996

*) You should be able to do problems 13.5.1-28.
Work on the lower number ones first. Many of the
high number problems are quite easy, even if the
wording is intimidating.

1) Hand in 13.5.14

*) 13.6 is on cylindrical and spherical coordinates.
For spherical coordinates we are only covering the special 
case of spherically (or at least cylindrically) symmetric 
regions and integrands.

You should be able to do most of the problems 13.6.1-85.
{Note that almost all of the spherical coordinate 
problems have cylindrical symmetry.  Therefore, the theta 
integrals are almost all trivial.

2) Hand in 13.6.18

*) We are skipping section 13.7 (typo in printed syllabus).
   and are instead reviewing chapter 13 on friday Nov 8.

*) Note the questions on pages 1055-1060 which start as a 
review of chapter 13 and go on to more interesting topics.

3) Find the volume of a sphere of radius R 
using cartesian, cyllindrical, and spherical coordinates. 
(If you only get so far with cartesian coordinates don't fester.).