Basic Engineering Mathematics, Fifth Edition

Answerstopracticeexercises 341

Chapter 3

Exercise 8 (page 17)

1.

13

20

2.

9

250

3.

7

40

4.

6

125

5.(a)

13

20

(b)

21

25

(c)

1

80

(d)

141

500

(e)

3

125

6. 4

21

40

7. 23

11

25

8. 10

3

200

9. 6

7

16

10. (a) 1

41

50

(b) 4

11

40

(c) 14

1

8

(d) 15

7

20

(e) 16

17

80

11. 
    
    
    
    0. 625 12. 6. 6875 13. 0. 21875 14. 11. 1875
    
    
    
    


12. 
    
    
    
    0. 28125
    
    
    
    

Exercise 9 (page 18)

1. 
   
   
   
   14. 18 2. 2. 785 3. 65. 38 4. 43. 27
   
   
   
   


2. 
   
   
   
   1. 297 6. 0. 000528
   
   
   
   

Exercise 10 (page 19)

1. 
   
   
   
   80. 3 2. 329. 3 3. 72. 54 4.− 124. 83
   
   
   
   


2. 
   
   
   
   295. 3 6. 18. 3 7. 12 .52mm
   
   
   
   

Exercise 11 (page 20)

1. 
   
   
   
   4. 998 2. 47. 544 3. 385. 02 4. 582. 42
   
   
   
   


2. 
   
   
   
   456. 9 6. 434. 82 7. 626. 1 8. 1591. 6
   
   
   
   


3. 
   
   
   
   0. 444 10. 0. 62963 11. 1. 563 12. 53. 455
   
   
   
   


4. 
   
   
   
   13. 84 14. 8. 69 15.(a) 24.81 (b) 24. 812
   
   
   
   


5. (a) 0.00639 (b) 0. 0064 17.(a) 8.4 (b) 62 ̇. ̇ 6


6. 2400

Chapter 4

Exercise 12 (page 23)

1. 
   
   
   
   30. 797 2. 11927 3. 13. 62 4. 53. 832
   
   
   
   


2. 
   
   
   
   84. 42 6. 1. 0944 7. 50. 330 8. 36. 45
   
   
   
   


3. 
   
   
   
   10. 59 10. 12. 325
   
   
   
   

Exercise 13 (page 24)

1. 
   
   
   
   12. 25 2. 0. 0361 3. 46. 923 4. 1. 296 × 10 −^3
   
   
   
   


2. 2.4430 6. 2. 197 7. 30. 96 8. 0. 0549


3. 
   
   
   
   219. 26 10. 5. 832 × 10 −^6
   
   
   
   

Exercise 14 (page 25)

1. 
   
   
   
   0. 571 2. 40 3. 0. 13459 4. 137. 9
   
   
   
   


2. 
   
   
   
   14. 96 6. 19. 4481 7. 515. 36 × 10 −^6
   
   
   
   


3. 
   
   
   
   1. 0871 9. 15. 625 × 10 −^9 10. 52. 70
   
   
   
   

Exercise 15 (page 25)

1. 
   
   
   
   2. 182 2. 11. 122 3. 185. 82
   
   
   
   


2. 
   
   
   
   0. 8307 5. 0. 1581 6. 2. 571
   
   
   
   


3. 
   
   
   
   5. 273 8. 1. 256 9. 0. 30366
   
   
   
   


4. 
   
   
   
   1. 068 11. 3. 5 × 106 12. 37. 5 × 103
   
   
   
   


5. 
   
   
   
   4. 2 × 10 −^6 14. 202. 767 × 10 −^3 15. 18. 32 × 106
   
   
   
   

Exercise 16 (page 27)

1. 
   
   
   
   0. 4667 2.
   
   
   
   

13

14

3. 
   
   
   
   4. 458 4. 2. 732
   
   
   
   

5.

1

21

6. 
   
   
   
   0. 7083 7. −
   
   
   
   

9

10

8. 3

1

3

9. 
   
   
   
   2. 567 10. 0. 0776
   
   
   
   

Exercise 17 (page 27)

1. 
   
   
   
   0. 9205 2. 0. 7314 3. 2. 9042 4. 0. 2719
   
   
   
   


2. 
   
   
   
   0. 4424 6. 0. 0321 7. 0. 4232 8. 0. 1502
   
   
   
   


3. − 0. 6992 10. 5. 8452

Exercise 18 (page 28)

1. 
   
   
   
   4. 995 2. 5. 782 3. 25. 72 4. 69. 42
   
   
   
   


2. 
   
   
   
   0. 6977 6. 52. 92 7. 591. 0 8. 17. 90
   
   
   
   


3. 
   
   
   
   3. 520 10. 0. 3770
   
   
   
   

Exercise 19 (page 29)

1. A= 66 .59cm^2 2.C= 52 .78mm 3. R= 37. 5


2. 159m/s 5. 0 .407A 6. 5 .02mm


3. 0 .144J 8. 628 .8m^2 9. 224. 5


4. 14230kg/m^3 11. 281 .1m/s 12. 2. 526 

Exercise 20 (page 30)

1. £589. 27 2. 508 .1W 3. V= 2 .61V


2. F= 854. 5 5. I= 3 .81A 6. T= 14 .79s


3. E= 3 .96J 8. I= 12 .77A 9.s= 17 .25m


4. A= 7 .184cm^2 11.V= 7. 327


5. (a) 12.53h (b) 1h 40min, 33 m.p.h.
   (c) 13.02h (d) 13.15h