CALCULUS - Jamb Mathematics Past Questions and Answers

Question 81:

• JAMB 2002

If dy/dx = 2x - 3 and y = 3 when x = 0, find y in terms of x.

A. 2x² - 3x
B. X² - 3x
C. X² - 3x - 3
D. X² - 3x + 3

Question 82:

• JAMB 2002

Find the derivative of \(y = \sin^{2} (5x)\) with respect to x.

A. 10 sin 5x cos 5x
B. 5 sin5x cos 5x
C. 2 sin 5x cos 5x
D. 15 sin 5x cos 5x

Question 83:

• JAMB 2002

Evaluate \(\int \sin 3x \mathrm d x\)

A. (2/3) cos 3x + c
B. (1/3) cos 3x + c
C. (-1/3) cos 3x + c
D. (-2/3) cos 3x + c

Question 84:

• JAMB 2002

A circle with radius 5cm has its radius increasing at the rate of 0.2m/s. What will be the corresponding increase in the area?

A. 2π
B. 5π
C. π
D. 4π

Question 85:

• JAMB 2002

If \(y = x^2 - \frac{1}{x}\). find dy/dx

A. 2x - (1/x²)
B. 2x + x²
C. 2x - x²
D. 2x + (1/x²)