Question 81:

• JAMB 2019

If 2x\(^2\) + x - 3 divides x - 2, find the remainder.

A. 7
B. 3
C. 5
D. 6

Question 82:

• JAMB 2019

If \(\begin{vmatrix} 2 & -5 & 3 \\ x & 1 & 4 \\ 0 & 3 & 2 \end{vmatrix} = 132\). find the value of x.

A. 5
B. 8
C. 6
D. 3

Question 83:

• JAMB 2019

Given the matrix \(A = \begin{vmatrix} 3 & -2 \\ 1 & 6 \end{vmatrix}\). Find the inverse of matrix A.

A. \(\begin{vmatrix} 6 & 2 \\ 1 & 6 \end{vmatrix}\)
B. \(\begin{vmatrix} \frac{2}{11} & \frac{1}{12}\\ \frac{3}{20} & \frac{1}{10} \end{vmatrix}\)
C. \(\begin{vmatrix} -3 & 2 \\ -1 & -6 \end{vmatrix}\)
D. \(\begin{vmatrix} \frac{3}{10} & \frac{1}{10} \\ \frac{-1}{20} & \frac{3}{20}\end{vmatrix}\)

Question 84:

• JAMB 2019

If y = 8x\(^3\) - 3x\(^2\) + 7x - 1, find \(\frac{\mathrm d^2 y}{\mathrm d x^2}\).

A. 48x - 6
B. 11x\(^2\) + 6x - 7
C. 32x + 7
D. 24x\(^2\) - 6x + 7

Question 85:

• JAMB 2019

Differentiate \(\frac{2x}{\sin x}\) with respect to x.

A. \(2 \cot x \sec x (1 + \tan x)\)
B. \(2 \csc x - x \cot x\)
C. \(2x \csc x + \tan x\)
D. \(2\csc x(1 - x\cot x)\)