Calculus - Mathematics Jamb Past Questions and Answers

Question 11 :

• JAMB 2018

Integrate the expression 6x\(^2\) - 2x + 1

A. 3x\(^3\) - 2x\(^2\) + x + c
B. 2x\(^3\) - x\(^2\) + x + c
C. 2x\(^3\) 3x\(^2\) + c
D. X\(^3\) + x\(^2\) x + c

Question 12 :

• JAMB 2018

A trader realises 10x - x\(^2\) Naira profit from the sale of x bags of corn. How many bags will give him the maximum profit?

A. 7
B. 6
C. 5
D. 4

Question 13 :

• JAMB 2017

Find \(\int (x^{2} + 3x-5)dx\)

A. \(\frac{x_3}{3}\) - \(\frac{3x_2}{2}\) - 5x + k
B. \(\frac{x_3}{3}\) - \(\frac{3x_2}{2}\) + 5x + k
C. \(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) - 5x + k
D. \(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) + 5x + k

Question 14 :

• JAMB 2017

The pie chart shows the allocation of money to each sector in a farm. The total amount allocated to the farm is ₦ 80 000. Find the amount allocated to fertilizer

A. N 35, 000
B. N 40,000
C. N 25,000
D. N 20,000

Question 15 :

• JAMB 2017

If y = x Sin x, find \(\frac{dy}{dx}\) when x = \(\frac{\pi}{2}\)

A. \(\frac{- \pi}{2}\)
B. -1
C. 1
D. \(\frac{ \pi}{2}\)