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WAEC Further Mathematics Past Questions & Answers - Page 32

156.

Given that X  : R R is defined by x = y+15y , y R, find the domain of x

A.

{y : y R, y 0}

B.

{y : y R, y 1}

C.

{y : y R, y 5}

D.

{y : y R, y 7}

Correct answer is C

No explanation has been provided for this answer.

157.

If  (p+q10pq) = (2108)

Find the values of p and q

A.

p = 5, q = 3

B.

p = 5, q = -3

C.

p = -5, q = -3

D.

p = -5, q = 3

Correct answer is B

p + q = 2

p - q = 8

¯2p2=102

p = 5

from p + q = 2

5 + q = 2

q = 2 - 5 

= -3

158.

If 30(px2+16)dx = 129. Find the value of p

A.

9

B.

8

C.

7

D.

6

Correct answer is A

30(px2+16) = 129

px2+10+1+16x|30=129

px33+16x|30=129

(p(3)33+16(3)) - 0 = 129

9p + 48 = 129

9p = 129 - 48 

9p9=819 

p = 9

159.

If cos x = -0.7133, find the values of x between 0o and 360o 

A.

44.5o , 224.5o

B.

123.5o , 190.5o

C.

135.5o , 213.5o

D.

135.5o , 224.5o

Correct answer is D

cos x = -0.7133

x = cos 1(0.7133) 

= 44.496o 

x = 180 - 44.495o 

x = 135.5o

and x = 180o  + 44.495o 

= 224.5o

160.

Find the inverse of (3512)

A.

(5132)

B.

(2513)

C.

(5213)

D.

(5123)

Correct answer is B

Let A = (3512)

|A| = (3 x 2 - 5 x 1) 

= 6 - 5

= 1

A1(2513)