Answers to practice exercises 355
Exercise 138 (page 324)
1. −2542 A/s
2. (a) 0.16 cd/V (b) 312.5 V
3. (a) −1000 V/s (b) −367.9 V/s
4. −1.635 Pa/m
Chapter 35
Exercise 139 (page 328)
1. (a) 4x + c
(b)
7x 2
2
+ c
2. (a)
5
4
x
4
+ c
(b)
3
8
t
8
+ c
3. (a)
2
15
x
3
+ c
(b)
5
24
x
4
+ c
4. (a)
2
5
x 5 −
3
2
x 2 + c (b) 2t −
3
4
t 4 + c
5. (a)
3x 2
2
− 5x + c
(b) 4θ + 2θ 2 +
θ 3
3
+ c
6. (a)
5
2
θ 2 − 2θ + θ 3 + c
(b)
3
4
x 4 −
2
3
x 3 +
3
2
x 2 − 2x + c
7. (a) −
4
3x
+ c
(b) −
1
4x 3 + c
8. (a)
4
5
√
x 5 + c
(b)
1
9
4
√
x 9 + c
9. (a)
10
√
t
+ c
(b)
15
7
5
√
x + c
10. (a)
3
2
sin 2x + c
(b) −
7
3
cos 3θ + c
11. (a) −6 cos
1
2
x + c (b) 18 sin
1
3
x + c
12. (a)
3
8
e 2x + c
(b)
−2
15e 5x + c
13. (a)
2
3
ln x + c
(b)
u 2
2
− ln u + c
14. (a) 8
√
x + 8
√
x 3 +
18
5
√
x 5 + c
(b) −
1
t
+ 4t +
4t
3
3
+ c
Exercise 140 (page 330)
1. (a) 1.5 (b) 0.5
2. (a) 105 (b) −0.5
3. (a) 6 (b) −1.333
4. (a) −0.75 (b) 0.833
5. (a) 10.67 (b) 0.1667
6. (a) 0 (b) 4
7. (a) 1 (b) 4.248
8. (a) 0.2352 (b) 2.638
9. (a) 19.09 (b) 2.457
10. (a) 0.2703 (b) 9.099
Exercise 141 (page 334)
1. proof
2. proof
3. 32
4. 29.33 Nm
5. 37.5
6. 7.5
7. 1
8. 1.67
9. 2.67
10. 140 m