Mathematics for Engineers and Technologists

Solutions to problems

Chapter 1

1.1  

1. 

(a) 3,

(b) 5

2. 

(a) 0,

(b) 6

3. 

(a)  

4. 

(a) 2,

(b) l

5. 

(a) 0,

(b) 2

6. v = 0 for 0 ≤ t ≤ 2, v = 10 V for 2 ≤ t

7. See Figure S.1

Figure S.1

8. 

(a) 2.01 s,

(b) 6.34 s

9. 

(a) 2 m/s,

(b) 7 m/s

10. 

(a) 3x + 1,

(b) 2x + 2,

(c) 2x + 1

11. 

(a) x² + 3x + 1,

(b) 9x² + 3,

(c) 3x² + 3,

(d) x² − 3x − 1,

(e) 9x² + 12x + 5

1.2  

1. 

(a) Straight line through origin,

(b) straight line not through origin,

(c) not straight line,

(d) no straight line

2. 

(a) i = 0.5t + 2 amps,

(b) e = 1.2 × 10⁻³ L m

1.3  

1. 

(a) −3.2, 1.2,

(b) −2.6, −0.38,

(c) 3.8, −0.41,

(d) no real roots ...