Jamb Mathematics 2005 Past Questions and Answers

Question 31:

• JAMB 2005

Find the derivative of y = sin(2x\(^3\) + 3x - 4)

A. Cos (2x³ + 3x - 4)
B. -cos (2x³ + 3x - 4)
C. (6x² + 3) cos (2x³ + 3x - 4)
D. -(6x² + 3) cos (2x³ + 3x - 4)

Question 32:

• JAMB 2005

The radius r of a circular disc is increasing at the rate of 0.5cm/sec. At what rate is the area of the disc increasing when its radius is 6cm?

A. 36 π cm²/sec
B. 18 π cm²/sec
C. 6 π cm²/sec
D. 3 π cm²/sec

Question 33:

• JAMB 2005

The maximum value of the function
f(x) = 2 + x - x² is

A. 9/4
B. 7/4
C. 3/2
D. 1/2

Question 34:

• JAMB 2005

Find the area of the figure bounded by the given pair of curves y = x² - x + 3 and y = 3

A. 17/6 units (sq)
B. 7/6 units (sq)
C. 5/6 units (sq)
D. 1/6 units (sq)

Question 35:

• JAMB 2005

Evaluate \(\int_0^{\frac{\pi}{2}}sin2xdx\)

A. 1
B. Zero
C. -1/2
D. -1