The radius of a spherical balloon is increasing at a rate of 4 centimeters per minute. How fast is the surface area changing when the radius is 14 centimeters? Hint: The surface area is S = 47r2. Rate of change of surface area =

The radius of a spherical balloon is increasing at a rate of 4 centimeters per minute. How fast is the surface area changing when the radius is 14 centimeters? Hint: The surface area is S = 47r2. Rate of change of surface area =

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.3: Rates Of Change

Problem 29E: Explain the difference between the average rate of change of y as x changes a to b, and the...

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Question

The radius of a spherical balloon is increasing at a rate of 4 centimeters per minute. How fast is the surface area changing when the radius is 14 centimeters?
Hint: The surface area is S = 4Tr2.
Rate of change of surface area =

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