Mathematics Past Questions and Answers

If y = x Sin x, find \(\frac{dy}{dx}\) when x = \(\frac{\pi}{2}\)

If temperature t is directly proportional to heat h, and when t = 20oC, h = 50 J, find t when h = 60J

Evaluate 1 - (\(\frac{1}{5}\) x \(\frac{2}{3}\)) + ( 5 + \(\frac{2}{3}\))

Given m = N\(\sqrt{\frac{SL}{T}}\) make T the subject of the formula

Two functions f and g are defined on the set of real numbers by \(f : x \to x^{2} + 1\) and \(g : x \to x - 2\). Find f o g.