12/11 Related Rates

Front

What is a related rate problem?

Back

A related rate problem involves finding the rate at which one quantity changes with respect to another quantity that is also changing. These problems often involve the use of derivatives and the chain rule.

Front

What is the formula for the volume of a sphere?

Back

Front

How do you find the rate of change of volume with respect to radius for a sphere?

Back

Front

What is the derivative of the volume of a sphere with respect to its radius?

Back

Front

If the radius of a sphere is increasing at a rate of 2 in/sec, how do you express this mathematically?

Back

Front

How do you calculate the volume increase of a sphere when the radius is 2 in and the radius is increasing at 2 in/sec?

Back

Front

What is the formula for the area of a circle?

Back

Front

How do you find the rate of change of area with respect to radius for a circle?

Back

Front

What is the derivative of the area of a circle with respect to its radius?

Back

Front

If the radius of a circular pool is increasing at a rate of 3 cm/min, how do you express this mathematically?

Back