Further Mathematics Past Questions and Answers

Find the value of the derivative of y = 3x\(^2\) (2x +1) with respect to x at the point x = 2.

Find the radius of the circle 2x\(^2\) - 4x + 2y\(^2\) - 6y -2 = 0.

Given that f: x --> x\(^2\) - x + 1 is defined on the Set Q = { x : 0 ≤ x < 20, x is a multiple of 5}. find the set of range of F.

If \(\frac{15 - 2x}{(x+4)(x-3)}\) = \(\frac{R}{(x+4)}\) \(\frac{9}{7(x-3)}\), find the value of R

The table shows the distribution of marks obtained by some students in a test

Marks	0-9	10-19	20-29	30-39	40-49
Frequency	4	12	16	6	2

What is the upper class boundary of the upper quartile class?