Chapter 6
Section 6.1
1. 
2. 
3. 
5. 
7. 
9. 
11. 
13. 
15. 
17. 
19. e2 − 3
21. 
23. 
25. (a) 
(b) 
27. (a) 
(b) 
29. (a) 
(b) 
31. (a) 
(b) 
33. 
35. 
37. 2
39. 
41. 
43. 
45. 
47. See Student Solutions Manual.
49. (a) $53,213
(b) Answers will vary.
51. 
53. (a) 
(b) (0.489, 0.511).
(c) A ≈ 0.253
55. (a) 
(b) (0, 1), (1, 1) and (1.317, 0.366).
(c) A ≈ 0.295
57. (a) 
(b) (0, 0), (1, 0) and (0.599, 0.642).
(c) A ≈ 0.325
59. (a) A(k) = 
(b) A(1) = 
(c) 
Section 6.2
1. 
2. False
3. False
4. False
5. V = 30π
7. 
9. 2π(tan 1 − 1)
11. 
13. 
15. 
17. 
19. 32π
21. 
23. 
25. 
27. 
29. 
31. 
33. 
35. 
37. π
39. 
41. 
43. 
45. 
47. (a)
(b)
(c) k = 5.
49. 
51. (a) 
(b) 
(c) b = 1; answers will vary.
Section 6.3
1. False
2. False
3. False
4. True
5. 
7. 
9. 
11. 
13. 
15. 
17. 16π
19. 
21. 
23. (a) 
(b) 
(c) Answers will vary.
25. (a)
(b) 12π
(c) Answers will vary.
27. 
29. 
31. 
33. 
35. 
37. 
39. 
41. (a) 
(b) 
(c) 
(d) 
43. 
45. See Student Solutions Manual.
47. See Student Solutions Manual.
Section 6.4
1. Answers will vary.
2. False
3. 
5. 
m3
7. 
9. 
11. 
13. See Student Solutions Manual
15. 
17. ≈3.758
19. 
21. 
Section 6.5
1. False
2. True
3. 
5. 
7. 
9. 
11. 
13. 45
15. 21
17. 
19. 
21. 
23. 
25. 
27. (a) 
(b) s ≈ 4.647
29. (a)
(b) s ≈ 4.636
31. (a)
(b) ≈1.910
33. 6a
35. 
37. 
39. 
41. (a) 
(b) 
(c) 
43. (a) 
(b) 
45. (a) 
(b) ≈ 363.704m
47. (a) See Student Solutions Manual.
(b) See Student Solutions Manual.
(c) Answers will vary.
49. f (x) = cosh x
Section 6.6
1. True
2. W = Fx
3. joule; foot-pound
4. W = 
5. Equilibrium
6. True
7. True
8. True
9. 
11. 23,520 J
13. k = 12 N/m
15. −0.9 J
17. W = 71907.84π ft lb
19. W ≈ 1197.53 J
21. 6,073,600 ft lb
23. 8330 J
25. 
27. 10 ft
29. 
31. 352,800π J
33. 176,400π J
35. t ≈ 8.5 min
37. 6.965 × 109 J
39. 475 ft-lb
41. 
43. (a) 
(b) W ≈ 863,052 J
45. 2.092 × 105 in-lb
Section 6.7
1. Force
2. True
3. (b)
4. True
5. 367,500 N
7. 
9. 352,800 N
11. 22,500 lb
13. 
15. 
17. 2.94 × 109 N
19. 
21. 
Section 6.8
1. (c)
2. (c)
3. True
4. (a)
5. False
6. (a)
7. 
9. 
11. My = 20, Mx = 24, 
13. My = 29, Mx = 62, 
15. 
17. 
19. 
21. 
23. 72π2
25. 
27. 
29. 
31. (a) 
(b) 
(c) 
(d) Answers will vary.
(e) Answers will vary.
33. 
35. 
37. See Student Solutions Manual.
39. 
41. 
43. 
45. See Student Solutions Manual.
47. 
49. 
51. 
Review Exercises
1. 4 ln 4 – 3
3. 
5. 
7. 
9. 
11. 
13. 
15. 
17. 
19. 9
21. 4
23. 8π
25. 
27. 345,000 ft-lb
29. 2,508,800π J
31. 0.3 m
33. 601,883 N
35. 
37. 72π