Basic Engineering Mathematics, Fifth Edition

Answerstopracticeexercises 347

Chapter 16

Exercise 62 (page 118)

1. (a) 0.1653 (b) 0.4584 (c) 22030


2. (a) 5.0988 (b) 0.064037 (c) 40.446


3. (a) 4.55848 (b) 2.40444 (c) 8.05124


4. (a) 48.04106 (b) 4.07482 (c) − 0. 08286


5. 
   
   
   
   2. 739 6. 120 .7m
   
   
   
   

Exercise 63 (page 120)

1. 
   
   
   
   2. 0601 2.(a) 7.389 (b) 0.7408
   
   
   
   


2. 1 − 2 x^2 −

8

3

x^3 − 2 x^4

4. 2 x^1 /^2 + 2 x^5 /^2 +x^9 /^2 +

1

3

x^13 /^2

+

1

12

x^17 /^2 +

1

60

x^21 /^2

Exercise 64 (page 122)

1. 
   
   
   
   3. 95 , 2. 05 2. 1. 65 ,− 1. 30
   
   
   
   


2. (a) 28cm^3 (b) 116min 4. (a) 70◦C (b) 5 minutes

Exercise 65 (page 124)

1.(a) 0.55547 (b) 0.91374 (c) 8.8941

2.(a) 2.2293 (b)− 0 .33154 (c) 0.13087

3.− 0. 4904 4. − 0. 5822 5. 2. 197 6. 816. 2

7. 
   
   
   
   0. 8274 8. 11. 02 9. 1. 522 10. 1. 485
   
   
   
   


8. 
   
   
   
   1. 962 12. 3 13. 4
   
   
   
   


9. 
   
   
   
   147. 9 15. 4. 901 16. 3. 095
   
   
   
   


10. t=eb+alnD=ebealnD=ebelnD
    a
    i.e.t=ebDa


11. 500 19.W=PVln

(

U 2

U 1

)

Exercise 66 (page 127)

1.(a) 150◦C (b) 100. 5 ◦C 2. 99 .21kPa

3.(a) 29.32 volts (b) 71. 31 × 10 −^6 s

4.(a) 1.993m (b) 2.293m 5.(a) 50◦C (b) 55.45s

6. 30 .37N 7.(a) 3.04A (b) 1.46s


7. 2 .45mol/cm^3 9.(a) 7.07A (b) 0.966s


8. £2424

Chapter 17

Exercise 67 (page 134)

1.(a) Horizontal axis: 1cm=4V(or1cm=5V),

vertical axis: 1cm= 10 

(b) Horizontal axis: 1cm=5m, vertical axis:

1cm= 0 .1V

(c) Horizontal axis: 1cm=10 N, vertical axis:

1cm= 0 .2mm

2.(a)−1(b)−8(c)− 1 .5(d)5 3.14.5

4.(a)− 1 .1(b)− 1. 4

5.The 1010rev/min reading should be 1070rev/min;

(a) 1000rev/min (b) 167V

Exercise 68 (page 140)

1. Missing values:− 0. 75 , 0. 25 , 0. 75 , 2. 25 , 2 .75;
   Gradient=

1

2

2. (a) 4,−2(b)− 1 ,0(c)− 3 ,−4(d)0, 4


3. (a) 2,

1

2

(b) 3,− 2

1

2

(c)

1

24

,

1

2

4. (a) 6,−3(b)− 2 ,4(c)3,0(d)0, 7


5. (a) 2,−

1

2

(b)−

2

3

,− 1

2

3

(c)

1

18

,2 (d) 10,− 4

2

3

6. (a)

3

5

(b)−4(c)− 1

5

6

7. (a) and (c), (b) and (e)


8. (2, 1) 9. (1.5, 6) 10.(1, 2)


9. (a) 89cm (b) 11N (c) 2.4 (d) l= 2. 4 W+ 48


10. P= 0. 15 W+ 3. 5 13. a=− 20 ,b= 412

Exercise 69 (page 144)

1. (a) 40◦C (b) 128


2. (a) 850rev/min (b) 77.5V


3. (a) 0.25 (b) 12 (c)F= 0. 25 L+ 12
   (d) 89.5N (e) 592N (f) 212N


4. − 0. 003 , 8. 73


5. (a) 22.5m/s(b)6.43s (c)v= 0. 7 t+ 15. 5


6. m= 26. 9 L− 0. 63


7. (a) 1. 31 t(b) 22.89% (c)F=− 0. 09 W+ 2. 21


8. (a) 96× 109 Pa (b) 0.00022 (c) 28. 8 × 106 Pa