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CALCULUS - Jamb Mathematics Past Questions and Answers

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Jamb Mathematics Past Questions

Jamb Past Questions and Answers on CALCULUS

Question 76:


Differentiate \((2x+5)^{2} (x-4)\) with respect to x.

A. 4(2x+5)(x-4)
B. 4(2x+5)(4x-3)
C. (2x+5)(2x-13)
D. (2x+5)(6x-11)


Question 77:


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 78:


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

A. 12π
B.
C. 24π
D.


Question 79:


If y = x sinx, find dy/dx when x = π/2.

A. -π/2
B. -1
C. 1
D. π/2


Question 80:


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)






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