CALC
2 – 5, 2 – 6 Review Implicit Differentiation, Related Rates __________________
Solve each related rates problem. Show your work.
1. Air is being pumped into a spherical balloon at a rate of 400 cubic centimeters per minute.
How fast is the radius of the balloon increasing at the instant the radius is 20 centimeters?
2. Water is flowing into a conical tank at the rate of 8 cubic feet per minute. If r 
h
, find the
2
rate of change of the depth of the water when the water is 6 feet deep.
dy
by implicit differentiation. Write the final answer in simplest factored form.
dx
3. x 2  4 y 2  4
4. x 3  2 xy  y 2  8
Find