The surface area S (in square meters) of a hot-air balloon is given by S(r) = 4xr where r is the radius of the balloon (in meters). If the radius r is increasing with time t (in seconds) according to the formula t, t20, find the surface area S of the balloon as a function of the time t. r(t) =

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
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The surface area S (in square meters) of a hot-air balloon is given by S(r) = 4xr where r is the radius of the balloon (in meters). If the radius r is increasing with time t (in seconds) according to the formula
r(t) =t?, t20, find the surface area S of the balloon as a function of the time t.
Transcribed Image Text:The surface area S (in square meters) of a hot-air balloon is given by S(r) = 4xr where r is the radius of the balloon (in meters). If the radius r is increasing with time t (in seconds) according to the formula r(t) =t?, t20, find the surface area S of the balloon as a function of the time t.
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