Math H161 Ð Brown Ð Au03

Homework 4, due Wednesday, October 22, 2003

Don't leave these until the night before they are due!

Be sure to sketch each figure before doing the calculations for the integral.

1. Textbook, page 224: #4, 6, 13, 26, 30

2. Textbook, page 229: #1, 6, 10. 14

3. (a) Revolve around the x-axis the curve y = 1/x from x = 1 to x = c, where 1 < c.

(b) Now take the limit of your answer in (a) as c approaches infinity. You see that what appears to be an infinitely long spindle along the x-axis has finite volume.,

4. Textbook, page 240, #4, 12