Understanding Engineering Mathematics

D.(i)

9

2

(ii)

13

6

(iii)

2

5

(iv) 14

1.3.6 Factorial and combinatorial notation

A. (i) 120 (ii) 3628800 (iii) 301

(iv) 220320 (v) 264 (vi) 210

(vii) 43545600 (viii) 70

B. (i) 36 (ii) 36 (iii) 330

(iv) 210 (v) 1 (vi) 210

(vii) 2400

C. 35

1.3.7 Powers and indices

A. (i) 2^5 (ii) 3^2 (iii) 2× 35 (iv) 3^4 (v) 2^9 (vi) 5^22 −^4

(vii) 2^233 (viii) 7× 3 −^2

B. (i) 3^12 (ii) 2^2 (iii) 2^335

(iv) 2^1434 (v) 3^5 (vi) − 2 −^23 −^4

(vii) 2^1335 (viii) 2−^23 =^34

D. (i) 3

√

2 (ii) 2

√

5 (iii) 2

√

2

(iv) 2

√

13 (v) 16

√

2(vi)6

√

11

(vii) 6

√

3 (viii) 3

√

7

E. (i)

√

7

7

(ii) −

√

3

3

(iii)

√

2 + 1

(iv)

4 +

√

10

6

(v)

3 +

√

5

2

(vi) 3

√

6 − 8

(vii)

1

4

( 2 + 3

√

2 ) (viii) 28

√

2

1.3.8 Decimal notation

A.(i) −0.5000 (ii) 3.5000 (iii) 0.6667

(iv) −0.2222 (v) 0.0000 (vi) 0.1250

B. (i)

1

4

(ii)

1

8

(iii)

1449

20