Calculus - Mathematics Jamb Past Questions and Answers

Question 41 :

• JAMB 1991

At what value of x is the function y = x² - 2x - 3 minimum?

A. 1
B. -1
C. -4
D. 4

Question 42 :

• JAMB 1992

Evaluate \(\lim \limits_{x \to 2} \frac{(x - 2)(x^2 + 3x - 2)}{x^2 - 4}\)

A. 7
B. 2
C. 3
D. 4

Question 43 :

• JAMB 1992

If y = x sin x, Find \(\frac{d^2 y}{d^2 x}\)

A. 2 cosx - x sinx
B. Sinx + x cosx
C. Sinx - x cosx
D. X sinx - 2 cosx

Question 44 :

• JAMB 1992

Ice forms on a refrigerator ice-box at the rate of (4 - 06t)g per minute after t minutes. If initially there are 2g of ice in the box, find the mass of ice formed in 5 minutes

A. 19.5
B. 17.0
C. 14.5
D. 12.5

Question 45 :

• JAMB 1992

Obtain a maximum value of the function f(x) x³ - 12x + 11

A. -5
B. -2
C. 2
D. 27