CALCULUS - Jamb Mathematics Past Questions and Answers

Question 71:

• JAMB 2000

If y = 2x - sin2x, find dy/dx when x = π/4

A. π
B. -π
C. π/2
D. -π/2

Question 72:

• JAMB 2000

If the volume of a hemisphere is increasing at a steady rate of 18π m\(^{3}\) s\(^{-1}\), at what rate is its radius changing when its is 6m?

A. 2.50m/s
B. 2.00 m/s
C. 0.25 m/s
D. 0.20 m/s

Question 73:

• JAMB 2000

A function f(x) passes through the origin and its first derivative is 3x + 2. What is f(x)?

A. Y = (3x²/)2 + 2x
B. Y = (3x²)/2 + x
C. Y = 3x² + (x/2)
D. Y = 3x² +2x

Question 74:

• JAMB 2000

The expression ax² + bx + c equals 5 at x = 1. If its derivative is 2x + 1, what are the values of a, b, c respectively?

A. 1, 3, 1
B. 1, 2, 1
C. 2, 1, 1
D. 1, 1, 3

Question 75:

• JAMB 2001

Evaluate \(\int 2(2x - 3)^{\frac{2}{3}} \mathrm d x\)

A. 3/5(2x-3)^5/3 + k
B. 6/5(2x-3)^5/3 + k
C. 2x-3+k
D. 2(2x-3)+k