For what range of values of x is 1/2x + 14 > 1/3x + 1/2?

• A. x< 3/2
• B. x > 3/2
• C. x< -3/2
• D. x > -3/2

If cotθ = 8/15, where θ is acute, find sinθ

• A. 8/17
• B. 15/17
• C. 16/17
• D. 13/17

Solve the inequalities -6 ≤ 4 - 2x< 5 - x

• A. -1< x< 5
• B. -1< x ≤ 5
• C. -1 ≤ x ≤ 6
• D. -1 ≤ x< 6

A cylindrical pipe 50m long with radius 7m has one end open. What is the total surface area of the pipe?

• A. 749πm²
• B. 700πm²
• C. 350πm²
• D. 98πm²

If y varies directly as the square root of x and y = 3 when x = 16. Calculate y when x = 64

• A. 12
• B. 6
• C. 3
• D. 5

Find the sum to infinity of the following series. 0.5 + 0.05 + 0.005 + 0.0005 + .....

• A. 5/8
• B. 5/7
• C. 5/11
• D. 5/9

Rationalize \(\frac{2\sqrt{3} + \sqrt{5}}{\sqrt{5} - \sqrt{3}}\)

• A. (3 √ 15+11) / 2
• B. 3 √ 15-11
• C. (3 √ 15-11) / 2
• 3 √ 15+11

If P = \(\begin{pmatrix} 2 & -3 \\ 1 & 1 \end{pmatrix}\) , what is P\(^-1\)

• A. \(\begin{pmatrix} -{\frac{1}{5}} & -{\frac{3}{5}} \\ -{\frac{1}{5}} & -{\frac{2}{5}} \end{pmatrix}\)
• B. \(\begin{pmatrix} {\frac{1}{5}} & {\frac{3}{5}} \\ {\frac{1}{5}} & {\frac{2}{5}} \end{pmatrix}\)
• C. \(\begin{pmatrix} -{\frac{1}{5}} & {\frac{3}{5}} \\ -{\frac{1}{5}} & {\frac{2}{5}} \end{pmatrix}\)
• D. \(\begin{pmatrix} {\frac{1}{5}} & {\frac{3}{5}} \\ -{\frac{1}{5}} & {\frac{2}{5}} \end{pmatrix}\)

At what value of X does the function y = -3 - 2x + X2 attain a minimum value?

• A. -1
• B. 14
• C. 4
• D. 1

If y = x sinx, find dy/dx

• A. sin x - x cosx
• B. sinx + x cosx
• C. sinx - cosx
• D. sinx + cosx