1. Given that dy/dx = k/x^2 + 1 where k is a constant ; when x=1, dy/dx = 3 and y=3, find the value of y when x =2.
2. A particle moves in a straight line and t seconds after passing a fixed point O, its velocity is (3t^2 - 4t) m/s. Calculate
(a) its velocity when its acceleration is zero,
(b) its distance from O when its velocity is zero again.