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.

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.

The income of a person is Rs. 300000 in the first year and he receives an increase of Rs. 10000 to his income per year for the next 19 yéars. find the total amount, he received in 20 years.

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?

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.

If the length of a rectangle is increased by 2m and breadth decreased by 1m, the area will decrease by 6m^2 . If the length is decreased by 3m and breadth increased by 3m area will increase by 9m^2 . Find the length and breadth.

If a population growing exponentially doubles in size in 3 years, what is the intrinsic rate of increase (r) of the population?

If the length of a rectangle is increased by 2m and breadth decreased by 1m, the area will decrease by 6m^2 . If the length is decreased by 3m and breadth increased by 3m area will increase by 9m^2 . If the length is taken as X , and breadth Y. Find the area of first rectangle.

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?