A balloon, which always remains spherical has a variable radius. Find the rate at which its volume is increasing with the radius when the later is cm. . A ladder m long is leaning against a wall.
The bottom of the ladder is pulled along the ground, away from the wall, at the rate of 2cm/s. How fast is its height on the wall decreasing when the foot of the ladder is m away from the wall ? . A particle moves along the curve y = x + .
Find the points on the curve at which the y -coordinate is changing times as fast as the x -coordinate. . The radius of an air bubble is increasing at the rate of cm/s. At what rate is the volume of the bubble increasing when the radius is cm?
. A balloon, which always remains spherical, has a variable diameter ( ) x + Find the rate of change of its volume with respect to x . . Sand is pouring from a pipe at the rate of cm /s.
The falling sand forms a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base. How fast is the height of the sand cone increasing when the height is cm? . The total cost C ( x ) in Rupees associated with the production of x units of an item is given by C ( x ) = .
x – . x + x + . Find the marginal cost when units are produced. .
The total revenue in Rupees received from the sale of x units of a product is given by R ( x ) = x + x + . Find the marginal revenue when x = . Choose the correct answer for questions and . .
The rate of change of the area of a circle with respect to its radius r