ANSWERS TO SELECTED EXERCISES AND REVIEW EXERCISES
Chapter 3
7. (a) No
(b) Yes
(c) No
(d) No
(e) No
(f) Yes
(g) Yes
(h) No
(i) No
REVIEW EXERCISES
5. (a), (b)
6. None
7. No
9. Nothing
Chapter 4
Second set:
1. (a)
(b) 
(c) 
(d) 
(e) 
(f) 
(g) 2
(h) 6
(i) 
(j) 2
(k) 
2. (a) 
(b) 
(c) 
1. −2
2. −13
3. +3
4. −5
5. 500, 500
3. (a) 12a
(b) 12a
(c) 
(d) −2a
(e) 6a + 12b
(f) 28a + 35b
(g) a2 + ab
(h) a2 − ab
(i) 16a
(j) a2b
4. a2 + 5a + 6
5. n2 + 2n + 1
6. Yes
7. Yes
8. Yes
9. No
Section 4–6
First set:
1. No, 
hr
2. No
3. 
4. No
5. 
of a ditch per day
Second set:
1. 16
2. 12
3. 12
4. 36
4. 13, 14, 20, 100, 120, 244
5. 5, 6, 8, 12, 36
6. 0.3
7. 
8. 3
9. 6
REVIEW EXERCISES
1. (a) 
(b) 
(c) 
(f) 
(g) 
(h) 
2. (b) 
(c) 
(e) 
(i) 2
(k) 1
(n) 
3. (a) 140
(b) 4ab
(d) 6 xy
4. (a) 
(b) 1 + 2a
(e) b + c
5. (c) 
(e) 3
(f) 4
(h) 
6. (a) 
(c) 
(f) 
(h) 
9. (b) False
(d) False
(e) False
(f) False
(h) False
10. (b) 11
(c) 101
(e) 1000
(g) 10,011
11. (b) 5
(d) 13
(e) 9
Chapter 5
5. (a) 3x + 4
(b) 3x2 + 4
First set:
1. (a) 510
(d) x5
(e) 53
(g) x2
(j) 
(k) 1
(l) 5
3. (a) False
(c) False
(e) False
Second set:
1. (a) 312
(c) 58
(d) 106
(f) 104
2. (a) 100,000
(b) 6
(c) 
(d) ab3
3. (c) False
(e) False
(f) False
1. (a) 15x2
(b) x2 + 9x + 20
(c) 3x2 + 19x + 20
(d) x2 − 9
(e) x2 + 5x + 
(f) x2 −
2. (a) (x + 5)(x + 4)
(b) (x + 2)(x + 3)
(c) (x − 2)(x − 3)
(d) (x + 3)(x − 3)
(e) (x + 4)(x − 4)
(f) (x + 9) (x − 2)
1. 1177 ft
2. 22mi/hr
3. 73
4. 50
5. 80
6. 1250
First set:
1. (a) 6, 2
(b) −9, 2
3. (a) 
(b) 
Second set:
1. (a) 
(b) 
(c) 
(d) −3, −1
(e) 4, 4
1. (b) x2 + 5x + 6
(c) x + 5x − 14
(e) 
(f) 2x2 + 5x + 2
2. (a) (x + 3)(x − 3)
(e) (x + 3)2
(f) (x + 6)(x + 1)
(i) (x − 6)(x − 1)
(l) (x + 8)(x − 2)
(m) (x + 9)(x − 3)
4. (c) 1
(d) 2
(e) 
(g) 
(h) 
5. 12
6. 95
7. (a) 5 and 1
(b) 7 and −1
(f) 7 and −2
8. (b) 9 and 1
(c) 
(e) 
9. (a) 
(c) 
(e) 
Chapter 6
8. 103 ft
10. 2π ft
2. 418,500 mi
3. 100 by 100
4. 
by
5. 25 by 50
7. 
8. 
9. 63 mi
2. 2
4. 5
Chapter 7
3. 1 to 0
4. 0 to un limited ly larger and larger values
1. 445 ft
2. 14,265 ft
3. 11,500 ft
4. Yes, by 19 ft
5. 3944 mi
1. 30°
5. 139mi
6. 263 mi
7. 18,960mi
1. 93,000,000 mi
2. 428,000 mi
3. 1065 mi
4. 36,000,000 mi
1. 32°
2. 0° to 42°
4. 172,000 mi/sec
REVIEW EXERCISES
3. (a) 
(c) 
(d) 
5. 
7. 83.91 ft
9. 48°
12. 3682 mi, 2π · 3682 mi
13. 107π mi, approximately
15. 32°, approximately
Chapter 11
4. 
Chapter 12
3. (a) y = 2x
(b) 
(c) y = −4x
(d) y = 4x
(e) y = −4x
5. Yes
8. Yes
10. m
11. (0, 7)
12. (0, b)
13. m; (0, b)
3. 
4. (0, 2)
5. (a) 
(b) 
(c) 
(d) 
6. 1, 4, 9, 16, 25
7. 
3. 10
5. 2, 8
2. A surface
3. A sphere
4. A plane
REVIEW EXERCISES
1. 0
4. (a) y = 4x
(b) y = 4x + 2
5. (a) y = −4x
(b) y = −4x + 2
(c) y = −4x − 2
Chapter 13
4. 0, 96, 224, etc.
6. 100, 256, 784
7. 2, 
, 4
8. +3, −3
9. 32, 212
3. 10
mi/hr
4. 128 ft/sec; 64 ft/sec; t = 2
7. 400 ft; 676 ft, 1600 ft
11. 256 ft/sec, approximately
15. 121 ft
16. 121 ft
17. d = v2/22
18. 352 ft, 88 ft
19. 576 ft
3. 192 ft/sec, 432 ft; 240 ft/sec, 756 ft
2. (a) 384 ft
(b) 32 ft/sec
(c) 400 ft
3. 0
5. 15,625 ft
7. 870 ft, 18.1 sec
8. 960 ft/sec
11. 7 sec
2. (a) 4
(b) 5
(c)
(d)
3. (a) 80
(b) 128
5. v = gt
6. (a) gt/2
(b) gt2/2
8. (a) 2
(b) 
(c) 3
(d) 
(e) 
10. (a) 1
(b) 
(c) 
(d) 
11. (a) v = 100 + gt
(b) d = 100t + gt2/2
12. (a) 2
(b) 4
13. (a) v = 128 − 32t
(b) d = 128t − 16t2
15. −112; the result is physically meaningless
16. −112; the object is 112 ft below the roof.
Chapter 14
1. y = 3x/2
2. y = 5x2/16
3. y = 5x + x2
3. 5.5 sec, approximately; 550 ft, approximately
4. 3000 ft/sec
5. 1200 ft/sec
6. 5450 ft, approximately
1. 230 ft/sec, 193 ft/sec
2. y = −x2/25 + 3x/2
4. 37.5 ft
5. 14.1 ft, approximately
6. 1000 ft/sec
1. y = −16x2/V2 cos2 A + x sin A/cos A
2. V sin A/323.
3. V2 sin2 A/64
5. 123,000 ft, approximately
6. 20,000 ft
7. 
REVIEW EXERCISES
2. (a) y = 7x/3
(b) y = 5x2/9
(c) x = 3y2/25
(e) x2 + y2 = 25
(f) y = (5x2/4) + 3x/2
3. (a) x = 240 · 5280t, y = 16t2
(b) 
(c)
(d) 
(e) 
4. (a) 
(b) 
(c) 125,000 ft
(d) 31,250 ft
Chapter 15
11. 165 years
2. 848 poundals 26 lb
3. 4320 1b
2. 20.5 ft/sec2, approximately
4. 150 1b
5. 1125 1b
1. 37.5 1b
4. 15 1b
7. 2400 lb
10. Yes
3. 500 ft/sec2
4. 0.00897 ft/sec2, approximately
2. 26,000 ft/sec, approximately
3. 3300 ft/sec, approximately
4. 27.8 days, approximately
5. 24,000 ft/sec, approximately
REVIEW EXERCISES
1. (a) 0.001
(b) 0.000001
(c) 0.00000001
(d) 0.00002
(e) 0.0001
2. (a) 5.8 · 104
(b) 5.879 · 104
(c) 6.34 · 104
(e) 5/102
3. 1.833 . . .· 106
(b) 4/104
(c) 7.2
(d) 
, approximately
4. 9.1 · 107
5. 5.97 · 1027 gm
6. 1.98 · 1033 gm
7. (a) 14.2 ft/sec2
(b) 2.6 ft/sec2
8. (a) 2840 poundals
(b) 520 poundals
9. 1060 poundals
Chapter 16
4. 80 ft/sec, 144 ft/sec
5. 160 ft/sec
6. 32 ft/sec
3. (a) 4x
(b) 4t
(c) x
(d) 12x2
(e) −4x
(f) −32t
(g) −32t + 128
(h) 128 − 32t
4. 228 ft/see
5. (b) 
6. (a) 
7. 
8. 
1. (a) 
(c) 0
2. (a) 2
(b) 2
1. 0
3. 25 by 50
4. 25 by
5. 
REVIEW EXERCISES
1. (a) 96 ft/sec
(b) 176 ft/sec
(c) 192 ft/sec
(b) 60
(c) 20a
4. 32 ft/sec2
5. (a) 14
(b) −6
(c) 6
(d) −14
6. 6
7. −1
8. (a) −25, minimum
(b) −25, minimum
(c) 25, maximum
9. 0, no, no
10. 
11. 
Chapter 17
1. (a) x3
(b) 5x
(c) x2/2
(d) 3x2/2
(e) t2
(f) 16t2
(g) 32t
(h) t2 + 10t
(i) −16t2 + 128t
(j) −32t
(k) 16t2
1. 150 − 32t, 150t − 16t2
2. 16t2 + 50
3. −32t, 75 − 16t2
4. 100 − 32t, 100t − 16t2 + 50
5. −100 − 32t, 50 − 100t − 16t2
1. 
2. 
3. 10
4. 90
1. 257,561,000 ft-lb
2. 264,000,000 ft-lb
3. 40,000 ft-lb
1. 36,500 ft/sec, approximately
REVIEW EXERCISES
1. (a) d = 200t − 16t2
(b) 625 ft
(c) −200 ft/sec
2. (a) d = 200t − 16t2
(b) d = 100 + 200t − 16t2
3. (a) 
(b) 3585 ft, approximately
6. 3297 · 106 poundals
7. 5700 ft/sec, approximately
Chapter 18
First set:
1. (a) sin 60°
(b) sin 30°
(c) −sin 30°
(d) −sin 80°
(e) −sin 90°
(f) −sin 60°
(g) −sin 10°
(h) sin 10°
(i) −sin 50°
(j) sin 30°
2. 1, −1
3. 90°
8. 2
Second set:
1. π/2 or 1.57, approximately; π/6 or 0.52, approximately; π, 3π/2, 2π, 8π/3
2. 90°, 120°, 450°, 540°, −90°, 57°, approximately
3. (a) 0
(b) 1
(c) 
(d) −1
(e) 0
(f) 1
1. 1, 2, 2, 
2. 3, −3
3. 4
4. (a) 1, 0, −1, 0
(b) 1, 0, −1, 0
8. 10
9. (a) 1, 0, 
(b) , 0, 0
(c) 0, −2, 2
1. 128
2. 5/2π
3. 0.01 sec
4. y = 3 sin 2π · 50t
5. y = 3 sin 5t
6. 50/4π2
Chapter 19
2. y = 0.0005 sin 2π · 300t
3. 540, 0.002
4. 20
2. (a) 1
(b) 1
(c) 1
(d) 100
2. 240, 0.01
3. y = 0.01 sin (2π 500t) + 0.002 sin (2π 1000t) + 0.005 sin (2π 1500t)
4. 2160
Chapter 21
3. 
4. Yes
6. 9 + any positive or negative multiple of 12
14. (a) 5
(b) 3
(c) 6
15. (a) 1,4
(b) 0, 2, 4
4. A
5. A
Chapter 22
2. 8113, 1200
3. 6.1, 5, 10
4. 31, 35, 40
1. 3.24
2. 3
3. 12.8
3. 95.4
4. 47.7, 99.8
1. y = 3x + 7
2. F = 4d
3. d = 16t2
4. N = Y − 1944
5. P = 2t2 + 4
6. V = 2.3 − 0.675T + 0.0875T2
3. 
, , 
5. 
6. 
7.
8. 
9.
11. 36
12. 4
13. 
17. 1 to 1
18. 3 to 1
2. 0.85, 0.68
3.
1. 0.499, 0.954
2. 0.159
3. 0.023
4. 0.341
5. 0.136
1. 
2. 
3. 
4. 0.977
5. 0.999
5. Discredit
REVIEW EXERCISES
1. (a) 
(b)
(c) 
2. (a) 
(b)
(c) 
3.
4. (a) 
(b) 
(c) 1
5. (a) 
(b) 
(c) 
6. (a) 
(b)
7. (a) 
(b) 
(c) Yes