An angle is increasing at a constant rate. The rate of increase of tan when the angle is `(pi)/(3)` is

The rate constant of the reaction increases by

The angle of banking increases when

If the volume of a sphere is increasing at a constant rate, then the rate at which its radius is increasing, is

The side of a square is increasing at a rate of 3 cm/sec. Find the rate of increasing of its perimeter when the side of square is 5cm.

The volume of cube is increasing at a rate of 9 cm^(3)//sec . Find the rate of increase of its surface area when the side of the cube is 10 cm.

(i) The radius of a circle is increasing at the rate of 5 cm/sec. Find the rate of increasing of its perimeter. (ii) If the area of a circle increases at a constant rate, then show that the rate of increase of its circumference is inversely proportional to its circumference is iversely proportional to its radius.

The volume of metal in a hollow sphere is constant.If the inner radius is increasing at the rate of 1cm/sec ,find the rate of increase of the outer radius when the radii are 4cm and 8cm respectively.

If the rate of increase of area of a circle is not constant but the rate of increase of perimeter is constant, then the rate of increase of area varies

If the rate of increase of area of a circle is not constant but the rate of increase of perimeter is constant, then the rate of increase of area varies

The sides of an equilateral triangle are increasing at the rate of 2 cm/sec. The rate at which the area increases, when the side is 10 cm is