Height of a plant at a certain date is 1.6m. Suppose that the height is increased by 5 cms in the following year and the height is increased in each year by half of that in the preceding year. Find the height of the plant at the end of n years.

Height of a plant at a certain date is 1.6m. Suppose that the height is increased by 5 cms in the following year and the height is increased in each year by half of that in the preceding year. Find the increase in height in 2nd year and 3rd year.

An arch is in the form of a semi-ellipse. It is 8m wide and 2m high at the centre. Find the height of the arch at a point 1.5m from one end.

A manufacturer reckons that the value of a machine, which costs him Rs. 15625 , will depreciate each year by 20 % . Find the estimated value at the end.of 5 years.

A tree grows at the rate of 0.5m per year. What will be the height of the board fixed at 1.5m above the base five years ago?

The radius of a cylinder is increasing at a rate of 1 cm//s and its height decreasing at a rate of 1 cm//s . Find the rate of change of its volume when the radius is 5 cm and the height is 5 cm.

The radius of a cylinder increases at a rate of 1 cm/s and its height decreases at a rate of 1cm/s. Find the rate of change of its volume when the radius is 5 cm and the height is 15 cm. If the volume should not change even when the radius and height are changed, what is the relation between the radius and height?

A laader 10 m long rests against a vertical wall with the lower end on the horizontal ground. The lower end of the ladder is pulled along the ground away from the wall at the rate 3 cm//s. The height of the upper end while it is descending at the rate of 4 cm/s, is : a) 4 sqrt3 m b) 5 sqrt3 m c) 5 sqrt2 m d) 6 m

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 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.