U3P2 - Related Rates

Front

What is the formula for the volume of a sphere?

Back

Front

What is a related rates problem in calculus?

Back

A related rates problem involves finding the rate at which one quantity changes with respect to another quantity that is also changing.

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 balloon is increasing at 2 cm/sec, how do you express this mathematically?

Back

Front

What is the relationship between the height and base of a right triangle formed by a ladder leaning against a wall?

Back

Front

How do you find the rate at which the base of a ladder is sliding away from the wall?

Back

Front

What is the formula for the area of a rectangle?

Back

Front

How do you find the rate of change of the area of a rectangle when its dimensions are changing?

Back

Front

What does it mean for a quantity to be increasing or decreasing in related rates problems?

Back

An increasing quantity has a positive rate of change, while a decreasing quantity has a negative rate of change.