Basic Engineering Mathematics, Fifth Edition

Answerstopracticeexercises 355

Exercise 138 (page 324)

1. −2542A/s 2.(a) 0.16cd/V (b) 312.5V


2. (a)−1000V/s (b)− 367 .9V/s


3. − 1 .635Pa/m

Chapter 35

Exercise 139 (page 328)

1.(a) 4x+c (b)

7 x^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)

3 x^2

2

− 5 x+c (b) 4θ+ 2 θ^2 +

θ^3

3

+c

6.(a)

5

2

θ^2 − 2 θ+θ^3 +c

(b)

3

4

x^4 −

2

3

x^3 +

3

2

x^2 − 2 x+c

7.(a)−

4

3 x

+c (b)−

1

4 x^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

sin2x+c (b)−

7

3

cos3θ+c

11. (a)−6cos

1

2

x+c (b) 18sin

1

3

x+c

12. (a)

3

8

e^2 x+c (b)

− 2

15 e^5 x

+c

13. (a)

2

3

lnx+c (b)

u^2

2

−lnu+c

14. (a) 8

√

x+ 8

√

x^3 +

18

5

√

x^5 +c

(b)−

1

t

+ 4 t+

4 t^3

3

+c

Exercise 140 (page 330)

1. (a) 1.5 (b) 0.5 2.(a) 105 (b)− 0. 5


2. (a) 6 (b)− 1. 333 4.(a)− 0 .75 (b) 0.833


3. (a) 10.67 (b) 0.1667 6.(a) 0 (b) 4


4. (a) 1 (b) 4.248 8.(a) 0.2352 (b) 2.638


5. (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 .33Nm


2. 37.5 6. 7.5 7. 1


3. 1.67 9. 2.67 10. 140m