The length `x` of a rectangle is decreasing at the rate of 5cm/s and the width `y` is increasing at the rate of 4cm/s When `x=8cm` and `y=6cm ,` find the rate of change of (a) the perimeter and (b) the area of the rectangle.

The length x of a rectangle is decreasing at the rate of 5 cm/minute and the width y is increasing at the rate of 4 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 length x of a rectangle is decreasing at the rate of 3 cm/minute and the width y is increasing at the rate of 2cm/minute. When x =10cm and y = 6cm, find the rates of change of (a) the perimeter and (b) the area of the rectangle.

The radius of a circle is increasing at the rate of 0.7 cm/s. What is the rate of increase of its circumference?

The radius of a cylinder is increasing at the rate of 3 m/s and its altitude is decreasing at the rate of 4m/s. The rate of change of volume (m^(3)//s) when radius is 4 m and altitude 6 m is -

The radius of a circle is increasing at a rate of 2.5 cm/sec. Find the rate of increase of the area of the circle when its radius is 5cm.

If the rate of change of y with respect to x is 4 and y is changing at the rate of 12 units/s find the rate of change of x per second.

The radius of the base of a cone is increasing at the rate of 3 cm/min and the altitude is decreasing at the rate of 4 cm/min. The rate of change of lateral surface when the radius is 7 cm and altitude is 24cm is (a) 108pic m^2//min (b) 54pic m^2//min (c) 27pic m^2//min (d) none of these

If the side of an equilateral triangle increases at the rate of sqrt(3) cm/s and its area at the rate of 12 cm^(2) /s, find the side of the triangle .

The rate of change of surface area of a sphere of radius r when the radius is increasing at the rate of 2 cm/s. is proportional to

The volume of a cube is increasing at the rate of 8 cm^(3) /s. How fast is the surface area increasing when the length of an edge is 12 cm?