Further Mathematics Past Questions and Answers

If the determinant of the matrix \(\begin{pmatrix} 2 & x \\ 3 & 5 \end{pmatrix} = 13\), find the value of x.

Express \(\frac{13}{4}\pi\) radians in degrees.

Find the equation to the circle \(x^{2} + y^{2} - 4x - 2y = 0\) at the point (1, 3).

The midpoint of M(4, -1) and N(x, y) is P(3, -4). Find the coordinates of N.

Given that \(y = x(x + 1)^{2}\), calculate the maximum value of y.