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WAEC Further Mathematics Past Questions & Answers - Page 34

167.

Find the area between line y = x + 1 and the x-axis from x = -2 to x = 0. 

A.

5 square units

B.

4 square units

C.

2 square units

D.

1 square unit

Correct answer is C

02x+1 x2+x|02

0 - (222)

= 2 square units

168.

Find correct to the nearest degree,5 the angle between p = 12i - 5j and q = 4i +3j

A.

59o

B.

60o

C.

75o

D.

76o

Correct answer is A

Cos θ = 4(12)+(5)(3)122+(5)242+32

Cosθ = 4815(189)(25)

θ=cos1 (3361.28)

θ = cos10.5367

θ = 59o

169.

Which of the following vectors is perpendicular to (13)?

A.

(31)

B.

(13)

C.

(13)

D.

(13)

Correct answer is A

No explanation has been provided for this answer.

170.

If y = (5 - x)3, and dydx

A.

15(5x)4

B.

3(5x)4

C.

3(5x)4

D.

15(5x)4

Correct answer is C

y = (5 - x)3 

dydx = -3(5 - x)4

= 3(5x)4