A man of height 2 metres walks at uniform speed of 2 km/h away from a lamp post which is 6 metres high. Find the rate at which the length of his shadow increasing.

A man of 2 m height walks at a uniform speed of 6km/h away from a lamp post of 6m height. The rate at which the length of his shadow increases is

A man 160 cm tall, walks away from a source of light situated at the top of a pole 6 m high, at the rate of 1.1 m/sec. How fast is the length of his shadow increasing when he is 1 m away from the pole?

Find the interval in which the function x^3-6x^2+9x+15 is increasing.

A water tank is in the shape of a right circular cone with its axis vertical and vertex down. Its height and diameter are same. Water is powered into it at a constant rate of 2m^3//minute . Find the rate at which water level is increasing when depth of water in the tank is 6m.

A boy '1.2' metres tall stands 1 metre away from the foot of a lamp post. If the length of his shadow is '1.5' metres, what is the height of the lamp post?

The radius of a circle is increasing at the rate of 2cm//s . Find the rate at which area of the circle is increasing when radius is 6 cm.

Find the intervals in which the function f(x)=4x^3-6x^2-72x+30 is strictly increasing.