CALCULUS - Jamb Mathematics Past Questions and Answers

Question 96:

• 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 97:

• 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 98:

• JAMB 2005

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

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

Question 99:

• JAMB 2006

Differentiate (x² - ¹/_x)² with respect to x

A. 4x² - 4x - ²/_x
B. 4x² - 2 + ²/_x³
C. 4x² - 2 - ²/_x³
D. 4x² - 3x + ²/_x

Question 100:

• JAMB 2006

Find the value of x for which the function 3x³ - 9x is minimum

A. Zero
B. 2
C. 3
D. 5