Aaqib zaman

Water is poured steadily into an empty container. If the volume of water in the container after 5 seconds is 30 cm3 , find a) The rate of change of volume b) The volume of water after 12 seconds

The radius, r cm, of a circle at time t seconds is given by r = 2t 2 + 1. Express its area, A cm2 , in terms of t and find the rate of change of the area at the instant when t=2. (Leave your answer in terms of p )

The length, l mm of an elastic string at time t seconds is given by l=t^3 / 3 - 4t +10 Find the instants (that is, the value of t ) when a) The length is increasing at a rate of 5 mm/Sec b) The length is decreasing at a rate of 4 mm/Sec

The radius, r cm , of a spherical balloon at a time t seconds is given by r = 3 + 2 / (1+t) What is the initial radius? Find the rate of change of r (w.r.t.t) when t=3

The volume, V cm3 , of a cone height h is (pi)(h^3)/ 12. If h increases at a constant rate of 0.2 cm/sec and the initial height is 2 cm, express V in terms of t and find the rate of change of V at time t.

The area, A cm3 , of a circle increases at a constant rate of 2 cm2 ´ s -1 . If the initial area of A is 1 cm2 , show that the radius of the circle at time t is given by r=sqrt( 2t+1/ pi) sqrt on both denominator and numerator