What value of x will make the function x(4 - x) a maximum?
Find the derivative of the function y = 2x\(^2\)(2x - 1) at the point x = -1?
Given that S = \(3t^{2}\) + 5t - 10 is displacement of a particle in metres, calculate it initial velocity.
The area A of a circle is increasing at a constant rate of 1.5 cm\(^2s^{-1}\). Find, to 3 significant figures, the rate at which the radius r of the circle is increasing when the area of the circle is 2 cm\(^2\).
