• Chapter 6 -- sections 6.3, 6.4,and 6.6

Third Homework Assignment - due at lecture on Thursday, September 22.

1. Reading: Read sections 6.3, 6.4, and 6.6
2. Textbook assignment: (submit nothing) Make certain you can do the following problems from the textbook:
• Section 6.3, page 388 (old ed., page 386) # 3, 7, 25 (old ed., #21), 31 (old ed., #27)
• Section 6.4, page 393 (old ed., page 391) # 9, 13, 21, 29
• Section 6.6, page 413 (old ed., page 411) # 1, 13, 17, 29
3. Textbook assignment: Submit answers to the following textbook problems in lecture on Thursday, September 22:
• Section 6.3, page 388 (old ed., page 386) # 6, 8, 14 (old ed., #10), 26 (old ed., #22), 36 (old ed., #32)
• Section 6.4, page 393 (old ed., page 391) # 10, 16, 22, 28, 32
• Section 6.6, page 413 (old ed., page 411) # 4, 14, 16, 30
4. Old final exam problems to turn in: Six problems on this link -- you should print out the file and show your work for each problem on the page with the problem.

BONUS PROBLEM!!

Bonus problem #3: Consider a square with side length L. Let R be the region inside the square consisiting of all points that are closer to the center of the square than to any side of the square. What is the area of R ?

This is an interesting problem -- the hard part is to draw a good picture of the region and get equations for its (curved) sides. (Can you do it with Maple?)

For full credit, you must be as specific as you possibly can! When you have solved it, either write up the solution by hand and give it to me, or else send the solution to

deturck@math.upenn.edu

by electronic mail - extra credit for the first complete solution I receive.