Question: Problem 3 A spherical balloon is losing its air at the rate | 48 cubic cm per minute. We would like to compute how fast

 Problem 3 A spherical balloon is losing its air at the

Problem 3 A spherical balloon is losing its air at the rate | 48 cubic cm per minute. We would like to compute how fast the radius of the balloon is changing when the radius is 2 cm. To help you organize your solution, answer the following questions. a) Declare all the letters that you use. (e.g., "Let x be the distance between ...; let y be the ...") b) Write down the equation that shows a relation among the variables declared in a). (e.g. y = 6x]) c) Translate "the balloon is losing its air at the rate of 48 cm /min" into a math expression. d) Translate "how fast the radius is changing" into a math expression. e) Write down an equation that connects c) and d) using the chain rule. () Solve and conclude

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