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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