13. A spherical balloon is inflating with helium at a rate of 72x ft° /min. How fast is the balloon's radius increasing at the instant the radius is 3 ft? How fast is the surface area increasing? The balloon's radius is increasing at a rate of ft/min at the instant the radius is 3 ft. (Simplify your answer.) ft/min at the instant the radius is 3 ft The surface area is increasing at a rate of (Type an exact answer, using i as needed.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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13.
A spherical balloon is inflating with helium at a rate of 72x ft° /min. How fast is the balloon's radius increasing at the instant the radius is 3 ft? How fast is the surface area increasing?
The balloon's radius is increasing at a rate of
ft/min at the instant the radius is 3 ft.
(Simplify your answer.)
ft/min at the instant the radius is 3 ft
The surface area is increasing at a rate of
(Type an exact answer, using i as needed.)
Transcribed Image Text:13. A spherical balloon is inflating with helium at a rate of 72x ft° /min. How fast is the balloon's radius increasing at the instant the radius is 3 ft? How fast is the surface area increasing? The balloon's radius is increasing at a rate of ft/min at the instant the radius is 3 ft. (Simplify your answer.) ft/min at the instant the radius is 3 ft The surface area is increasing at a rate of (Type an exact answer, using i as needed.)
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