At a given instant the legs of a right angled triangle are 8 inch and 6 inch respectively. The first leg decreases at 1 inch per minute and second increases at 2 inch per minute. The rate of increasing of the area after 2 minute is

At a given instant, the sides OA and OB of a right angled triangled AOB are 8 cm and 6 cms respectively If OA increases at the rate of 2cm/sec and OB decreases at the rate of 1 cm/sec, the rate of decreases of the area of DeltaAOB after 2 seconds is

When a circular oil drop expands on water, its area increases at the uniform rate of 40 sq.cm per minute. The rate of increase in the radius when the radius 5 cm is

The spherical ballon is being inflated so that its volume increases uniformly at the rate of 40 cubic cm per minute. The rate of increase in the surface as when the radius is 8 cm is

A conical vessel of height 10 ft and semivertical angle 30^@ is full of water. It empties in such a way that the height of water in the vessel is decreasing at a constant rate of 1 inch per minute. The rate of which the volume of water in the vessel is decreasing when its height is 6 ft is

A ladder AB of 10 mts long moves with its ends o the axes. When the end A is 6 mts form the origin. It moves away from it at 2mts/minute. The rate of increase of the area of the DeltaOAB is

When a circular oil drop expands on water, its area increases at the uniform rate of 40 sq. cm per minute. Find the rate of increase in the radius and circumference of the circle when the radius is 5 cm.

Let x be the length of one of the equal sides of an isosceles triangle, and let theta be the angle between them. If x is increasing at the rate (1/12) m/h/ and theta is increasing at the rate of pi//180 radians/h then the rate in m^(2)//h at which the area of the triangle whe x = 12m and theta = pi //4

The length x of a rectangle is decreasing at the rate of 5 cm/minute and the width is increasing at the rate of y cm/minute When x =8cm and y=6cm, find the rates of change of (a) the perimeter, and (b) the area of the rectangle.

The diameter and the altitude of a circular cylinder are found at a certain instant to be 20 cm and 40 cm respectively. If the diameter is increasing at the rate of 2 cm per second, whaf change in the altitude will keep the volume constant.