Application of differentiation - Jamb Mathematics Past Questions and Answers

Question 16:

• 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 17:

• JAMB 2001

Find the area bounded by the curves y = 4 - x² and y = 2x + 1

A. 20(1/3) sq. units
B. 20(2/3) sq. units
C. 10(2/3) sq. units
D. 10(1/3) sq. units

Question 18:

• JAMB 2001

Find the rate of change of the volume, V of a sphere with respect to its radius, r when r = 1.

A. 12π
B. 4π
C. 24π
D. 8π

Question 19:

• JAMB 2001

Find the dimensions of a rectangle of greatest area which has a fixed perimeter p.

A. Square of sides p
B. Square of sides 2p
C. Square of sides (p/2)
D. Square of sides (p/4)

Question 20:

• 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