Application Of Differentiation Jamb Mathematics Past Questions
Question 1
Evaluate \(\int^{1}_{-2}(x-1)^{2}dx\)
- A. \(\frac{-10}{3}\)
- B. 7
- C. 9
- D. 11
Question 2
Find the value of x for which the function y = \(x^3 - x\) has a minimum value.
- A. \(-\sqrt{3}\)
- B. \(-\sqrt{\frac{1}{3}}\)
- C. \(\sqrt{\frac{1}{3}}\)
- D. \(\sqrt{3}\)
Question 3
A bowl is designed by revolving completely the area enclosed by \(y = x^2\) - 1, y = 3 and x ≥ 0 around the axis. What is the volume of this bowl?
- A. 7π cubic units
- B. 15π/2 cubic units
- C. 8π cubic units
- D. 17π/2 cubic units
Question 4
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 5
If the gradient of the curve y = 2k\(x^2\)+ x + 1 at x = 1 is 9, find k.
- A. 4
- B. 3
- C. 2
- D. 1
