Mathematics Past Questions and Answers

If y = x sin x, find \(\frac{\delta y}{\delta x}\)

If y = (2x + 2)\(^3\), find \(\frac{\delta y}{\delta x}\)

The radius of a circle is increasing at the rate of 0.02cms^-1. Find the rate at which the area is increasing when the radius of the circle is 7cm.

Find the mean of t + 2, 2t - 4, 3t + 2 and 2t.

The mean of seven numbers is 10. If six of the numbers are 2, 4, 8, 14, 16 and 18, find the mode.