# MATH 251 - Suggested Homework

Text: *Calculus, with Early Vectors*, Preliminary Edition,
by James Stewart. Individual sections may vary somewhat
from this schedule.

### Chapter 11

**Section 11.1 --**#3, 5, 7, 13, 25, 29, 31, 33, 35, 39, 45, 47.**Section 11.2 --**#5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 31, 33, 35.**Section 11.3 --**#3, 5, 7, 9, 11, 19, 21, 23, 31.- Also be able to do the following problem:

Let A_{1}and B_{1}be the vectors (1,2,0) and (-3,1,0), respectively. Let A_{2}and B_{2}be the vectors obtained by rotating A_{1}and B_{1}by an angle of 60 degrees in the counterclockwise direction about the Z-axis. Compute the vectors A_{2}and B_{2}and show that the cross product of A_{2}with B_{2}is the same as the cross product of A_{1}with B_{1}.

Hint: to compute A_{2}and B_{2}, express the x,y-coordinates of A_{1}and B_{1}using polar coordinates.

Answer: A_{2}=(-1.232, 1.866, 0); B_{2}=(-2.366, -2.098, 0) and A_{1}x B_{1}= (0,0,7) = A_{2}x B_{2}. **Section 11.4 --**#3, 7, 13, 15, 17, 19, 25, 29, 31, 37, 43, 47, 49, 51, 55, 63, 65.**Section 11.5 --**#1, 3, 5, 7, 9, 11, 15, 17-24, 31, 33, 41.

Most instructors will skip the next 3 sections.**Section 11.6 --**#1-6, 9, 13, 17, 21, 25, 31, 37, 41, 43, 47, 51, 57, 61, 74.**Section 11.7 --**#1, 3, 9, 11, 17, 19, 23, 27, 31, 35, 39.**Section 11.8 --**#3, 5, 9, 11, 13, 15, 17, 19, 21, 23.

### Chapter 12

**Section 12.1 --**#3, 7, 10, 21, 24, 33, 35, 37, 39, 41, 43, 45, 53, 55, 57, 59-64.**Section 12.2 --**#3, 5, 7, 9, 15, 17, 23, 27, 31, 33, 39, 45.**Section 12.3 --**#1, 5, 7, 10, 23, 29, 31, 45, 47, 49, 50, 57, 63, 75, 85, 91.**Section 12.4 --**#1, 5, 7, 15, 19, 25, 31.**Section 12.5 --**#1, 7, 11, 13, 17, 19, 23, 31, 35, 39.**Section 12.6 --**#1, 5, 7, 13, 15, 19, 25, 27, 30, 35, 37, 41, 49, 55.**Section 12.7 --**#1, 3, 7, 9, 17, 25, 31, 37, 43, 49.**Section 12.8 --**#3, 5, 7, 9, 17, 27, 33. (Some instructors will skip this section)

### Chapter 13

**Section 13.1 --**#1, 3, 5, 10, 13.**Section 13.2 --**#5, 9, 13, 17, 21, 23, 27, 29, 31, 35.**Section 13.3 --**#3, 7, 9, 13, 17, 21, 25, 27, 29, 33, 35, 39, 41, 47, 51.**Section 13.4 --**#3, 9, 15, 19, 23, 25, 27, 29, 31, 33, 39, 43, 51, 59.**Section 13.5 --**#3, 5, 9, 13, 17, 19, 21, 25, 27, 31.**Section 13.6 --**#1, 3, 5, 7, 9, 11, 13, 15.**Section 13.7 --**#1, 3, 5, 7, 9, 13. (many instructors will skip this section)**Section 13.8 --**#1, 3, 5, 7, 9, 11, 13, 17, 21, 25, 29, 31.**Section 13.9 --**#1, 3, 9, 17, 23, 27, 31, 39, 45, 47, 51, 53, 55, 57, 59, 61, 63.**Section 13.10 --**#1, 3, 7, 11, 15, 17, 21, 23, 29, 33, 35.**Section 13.11 --**#1, 3, 5, 7, 9, 11, 13, 15, 19, 21.

### Chapter 14

**Section 14.1 --**#1, 3, 5, 11, 12, 13, 14, 17, 19, 21, 23.**Section 14.2 --**#1, 3, 7, 11, 15, 17, 19, 27, 29, 35, 39.**Section 14.3 --**#1, 3, 7, 13, 15, 17, 19, 21, 23, 29, 31, 33.**Section 14.4 --**#1, 3, 7, 9, 15, 17, 21, 24, 25.**Section 14.5 --**#3, 7, 11, 13, 17, 19, 25, 31, 39, 40.**Section 14.6 --**#1, 3, 5, 9-12, 15, 19, 21, 25, 27, 31.**Section 14.7 --**#3, 5, 7, 9, 13, 15, 17, 21, 31, 35, 37.**Section 14.8 --**#1, 3, 5, 7, 9, 11, 13, 15, 17, 19.**Section 14.9 --**#1, 3, 5, 7, 9, 11, 13, 17, 19, 21, 23, 25.

Last modified by pby on Tue Aug 16 2000.