Basic Engineering Mathematics, Fifth Edition

Answerstopracticeexercises 343

Chapter 8

Exercise 32 (page 55)

1.cubic metres, m^3 2. farad

3.square metres, m^2 4. metres per second, m/s

5.kilogram per cubic metre, kg/m^3

6.joule 7. coulomb 8. watt

9.radian or degree 10. volt 11. mass

12. electrical resistance13. frequency


13. acceleration 15. electric current


14. inductance 17. length


15. temperature 19. pressure


16. angular velocity 21. × 109 22. m,× 10 −^3


17. × 10 −^12 24. M,× 106

Exercise 33 (page 56)

1.(a) 7. 39 ×10 (b) 2. 84 ×10 (c) 1. 9762 × 102

2.(a) 2. 748 × 103 (b) 3. 317 × 104 (c) 2. 74218 × 105

3.(a) 2. 401 × 10 −^1 (b) 1. 74 × 10 −^2 (c) 9. 23 × 10 −^3

4.(a) 1. 7023 × 103 (b) 1. 004 ×10 (c) 1. 09 × 10 −^2

5.(a) 5× 10 −^1 (b) 1. 1875 × 10

(c) 1. 306 × 102 (d) 3. 125 × 10 −^2

6.(a) 1010 (b) 932.7 (c) 54100 (d) 7

7.(a) 0.0389 (b) 0.6741 (c) 0.008

8.(a) 1. 35 × 102 (b) 1. 1 × 105

9.(a) 2× 102 (b) 1. 5 × 10 −^3

10. (a) 2. 71 × 103 kgm−^3 (b) 4. 4 × 10 −^1
    (c) 3. 7673 × 102 (d) 5. 11 × 10 −^1 MeV
    (e) 9. 57897 × 107 Ckg−^1
    (f) 2. 241 × 10 −^2 m^3 mol−^1

Exercise 34 (page 58)

1.60kPa 2. 150 μWor0.15mW

3.50MV 4.55nF

5.100kW 6. 0 .54mA or 540μA

7. 1 .5M 8. 22 .5mV
   9.35GHz 10.15pF


8. 17 μA 12. 46 .2k


9. 3 μA 14. 2 .025MHz


10. 50kN 16. 0 .3nF


11. 62 .50m 18. 0 .0346kg


12. 
    
    
    
    13. 5 × 10 −^3 20. 4 × 103
    
    
    
    

Chapter 9

Exercise 35 (page 62)

1. − 3 a 2.a+ 2 b+ 4 c


2. 3 x− 3 x^2 − 3 y− 2 y^2 4. 6 ab− 3 a


3. 6 x− 5 y+ 8 z 6. 1 + 2 x


4. 4 x+ 2 y+ 2 8. 3 z+ 5 b


5. − 2 a−b+ 2 c 10.−x^2 −y^2

Exercise 36 (page 64)

1. p^2 q^3 r 2. 8 a^2 3. 6 q^2


2. 46 5. 5

1

3

6.−

1

2

7. 6 8.

1

7 y

9. 5 xz^2


10. 3 a^2 + 2 ab−b^2


11. 6 a^2 − 13 ab+ 3 ac− 5 b^2 +bc

12.

1

3 b

13. 3 x 14. 2 ab


14. 2 x−y 16. 3 p+ 2 q 17. 2 a^2 + 2 b^2

Exercise 37 (page 66)

1. z^8 2. a^8 3.n^3


2. b^11 5. b−^3 6.c^4


3. m^4 8. x−^3 or

1

x^3

9. x^12


10. y−^6 or

1

x^6

11.t^8 12.c^14

13. a−^9 or

1

x^9

14.b−^12 or

1

x^12

15.b^10 16.s−^9

17. p^6 q^7 r^5 18.x−^2 yz−^2 or
    y
    x^2 z^2


18. x^5 y^4 z^3 , 13

1

2

20.a^2 b−^2 cor

a^2 c

b^2

, 9

Exercise 38 (page 67)

1. a^2 b^1 /^2 c−^2 , 4

1

2

2.

1 +a

b

3.ab^6 c^3 /^2

4. a−^4 b^5 c^11 5.

p^2 q

q−p

6. xy^3

√ 6

z^13

7.

1

ef^2

8.a^11 /^6 b^1 /^3 c−^3 /^2 or

√ 6

a^113

√

b

√

c^3