The function f : x \(\to\) x\(^2\) + px + q has turning point when x = -3 and remainder of -6 when divided by (x + 2). Find the value of q.

If y = (5 - x)\(^{-3}\), and \(\frac{dy}{dx}\)

Which of the following vectors is perpendicular to \(\begin{pmatrix} -1 & 3 \end{pmatrix}\)?

Find correct to the nearest degree,5 the angle between p = 12i - 5j and q = 4i +3j

Find the area between line y = x + 1 and the x-axis from x = -2 to x = 0.