Understanding Engineering Mathematics

C.Write the following numbers in scientific notation stating the mantissa and exponent

(i) 21.3241 (ii) 429.003 (iii) −0.000321 (iv) 0.00301

(v) 1,000,100 (vi) 300491.2

D.Write the numbers inCto (a) 3, (b) 6 significant figures.

1.3.9 Estimation

➤➤

525

➤

A.Assuming atπ 3 .142 ande 2 .718 give approximate values for

(i) π^2 (ii) e^3 (iii) π−^2 (iv) e−^3

B.Estimate the values of

(i)

0. 0003 × 3. 1 × 106

9050

(ii)

2. 01 + 403

2. 1 × 10 −^3 − 29. 9

(iii)

6 × 105 + 1001 e^3

3. 109 − 3. 009

(iv)

3 π^2 e^3

63

1.4 Applications

1.An electrical circuit comprised of resistors only is illustrated in Figure 1.1

R 2

R 1

R 2

R 1 R 3

R 1

Figure 1.1 R^3

The equivalent resistance,R, of two resistorsR 1 andR 2 inseriesis thesumof their

resistances:

R=R 1 +R 2