Math 161 Calculus I

Reading Outlines

You should answer these questions as you read the text.

Section 4.8

1. How is a related rates problem different from ordinary derivative problems we've studied?
2. Summarize the process of solving a related rates problem.
3. Suppose a coffee filter has the shape of an inverted cone. Water drains out of the filter, so the volume of water in the filter, the radius of the water, and the depth of the water are all changing with respect to time.
   1. Write down an equation which gives the relationship between these three quantities.
   2. Take the derivative of both sides of the equation with respect to time. Use the chain rule.
   3. Will the rates of change of these three quantities be positive or negative?