CALCULUS - Jamb Mathematics Past Questions and Answers

Question 66:

• JAMB 1999

What is the derivative of t² sin (3t - 5) with respect to t?

A. 6t cos (3t - 5)
B. 2t sin (3t - 5) - 3t² cos (3t - 5)
C. 2t sin (3t - 5) + 3t² cos (3t - 5)
D. 2t sin (3t - 5) + t² cos 3t

Question 67:

• JAMB 1999

Evaluate \(\int^{1}_{-2}(x-1)^{2}dx\)

A. \(\frac{-10}{3}\)
B. 7
C. 9
D. 11

Question 68:

• JAMB 1999

Find the value of x for which the function y = x³ - x has a minimum value.

A. \(-\sqrt{3}\)
B. \(-\sqrt{\frac{3}{3}}\)
C. \(\sqrt{\frac{3}{3}}\)
D. \(\sqrt{3}\)

Question 69:

• JAMB 1999

If the minimum value of y = 1 + hx - 3x² is 13, find h.

A. 13
B. 12
C. 11
D. 10

Question 70:

• JAMB 2000

Find the value of \(\int^{\pi}_{0}\frac{cos^{2}\theta-1}{sin^{2}\theta}d\theta\)

A. π
B. π/2
C. -π/2
D. -π