Calculus - Mathematics Jamb Past Questions and Answers

Question 16 :

• JAMB 2019

If \(f(x) = 3x^3 + 4x^2 + x - 8\), what is the value of f(-2)?

A. -24
B. 30
C. -18
D. -50

Question 17 :

• JAMB 2019

If the volume of a frustrum is given as \(V = \frac{\pi h}{3} (R^2 + Rr + r^2)\), find \(\frac{\mathrm d V}{\mathrm d R}\).

A. \(\frac{\pi h}{3} (2R + r)\)
B. \(2R + r + \frac{\pi h}{3}\)
C. \(\frac{\pi h}{3} (2R^2 + r + 2r)\)
D. \(\frac{2R^2}{3} \pi h\)

Question 18 :

• 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 19 :

• JAMB 2018

Evaluate ∫\(^2_1\) \(\frac{5}{x}\) dx

A. 1.47
B. 2.67
C. 3.23
D. 3.47

Question 20 :

• JAMB 2016

Integrate \(\frac{2x^3 + 2x}{x}\) with respect to x

A. \(\frac{2x^3}{3}\) - 2x + k
B. X³ + 2x + k
C. \(\frac{2x^3}{3}\) + 2x + k
D. X³ - 2x + k