MATH 253 Sec 501-503 Spring 2007: Homework

Text: Calculus, with Early Vectors, First Edition, by James Stewart.

Homework 1

Chapter 11

• Section 11.1 -- #3, 5, 7, 13, 25, 29, 31, 33, 35, 39, 45, 47
• Section 11.2 -- #5, 7, 9, 13, 15, 17, 19, 21, 23, 27, 31, 33, 35,45, 53
• Section 11.3 -- #1, 3, 5, 7, 9, 11, 19, 21, 23, 31

Homework 2

Chapter 11

• Section 11.4 -- #3, 7, 13, 15, 17, 19, 25, 29(parametric and normal), 31(parametric and normal),
  37, 43, 47, 49, 51, 55, 63, 65
• Section 11.5 -- #17-24, 25, 27, 28, 29, 30, 31, 43
• Section 11.6 -- #1-6, 9, 17, 21, 25, 31, 37, 41, 43, 47, 51, 57, 61, 74.

Homework 3

Chapters 14, 11

• Section 11.7 -- #9(Find v, a, j, T, B, N, speed, arc length for one loop, curvature and torsion, tangential and normal accererations), 12(Find v, a, j, T, B, N, speed, arc length for 0 <= t <= 1, curvature and torsion, tangential and normal accererations) (Keep a xerox.)
• Section 11.8 -- #17
• Section 14.1 -- #1, 3, 5, 11-14
• Section 14.2 -- #1, 3, 7, 11, 15, 17, 19, 27, 35
• Section 11.7 -- #9(Find mass of one loop if the linear density is rho = x^2+z^2 and work to move along one loop if the force is F = - m g where g is the acceleration of gravity and m = 1 kg.), 12((Find mass and work for 0 <= t <= 1 if the linear density is rho = x z + y^2 and the force is F = m a where a is the acceleration of the curve and m = 1 kg.)

Homework 4

Chapter 12

• Section 12.1 -- #3, 7, 21, 24, 33, 35, 37, 41, 44, 45, 53, 55, 57, 59-64
• Section 12.3 -- #1, 5, 7, 10, 23, 29, 31, 49, 50, 57, 63, 75, 85, 91
• Section 12.4 -- #1, 5, 7, 15, 19, 31
• Section 12.5 -- #1, 7, 11, 17, 19, 31(without eq 7), 35
• Section 12.6 -- #1, 5, 7, 13, 15

Homework 5

Chapters 12, 14

• Section 12.6 -- #19, 25, 27, 30, 35, 37, 49, 55
• Section 12.7 -- #1, 3, 7, 11, 17, 25, 31, 37, 39, 43, 49
• Section 14.5 -- #3, 7, 11, 13, 19, 31

Homework 6

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(both orders of integration), 17, 21, 25, 27, 33, 35, 39, 41, 47, 51
• Section 13.6 -- #1, 3, 5, 7, 9, 11, 15

Homework 7

Chapter 13

• Section 13.4 -- #3, 9, 15, 19, 23, 25, 27, 29, 34, 35, 39, 43, 51, 52, 55, 64
• Section 13.5 -- #3, 5, 9, 13, 17, 19, 21, 25, 27, 31
• Section 13.6 -- #13
• Section 13.11 -- #1, 3, 5, 11, 13, 15, 19

Homework 8

Chapter 13

• Section 13.8 -- #3, 5, 7, 9, 11, 13, 17, 25, 29, 31, 35, 37, 47
• Section 13.9 -- #1, 3, 9, 17, 23, 27, 31, 39, 45, 47, 51, 53, 55, 57, 59, 63
• Section 13.10 -- #1, 3, 7, 11, 15, 17, 21, 23, 29, 33, 35

Homework 9

Chapter 14

• Section 14.1 -- #17, 19, 21
• Section 14.2 -- #29, 39
• Section 14.5 -- #17, 25, 39, 40
• Section 14.6 -- #1, 3, 5, 9-12, 15, 19, 21, 27
• Section 14.7 -- #3, 5, 7, 9, 13, 15, 17, 21, 31, 35, 37

Homework 10

Chapter 14

• Section 14.3 -- #1, 3, 9, 13, 15, 17, 19, 21, 29, 31, 33
• Section 14.4 -- #1, 3, 7, 9, 15, 17, 21

Homework 11

Chapter 14

• Section 14.8 -- #1, 3, 5, 7, 9, 13, 15, 17
• Section 14.9 -- #1, 3, 5, 7, 9, 13, 23