The surface area S (in square meters) of a hot-air balloon is given by S(r) = 4tr 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.
The surface area S (in square meters) of a hot-air balloon is given by S(r) = 4tr 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.
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
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Transcribed Image Text:The surface area S (in square meters) of a hot-air balloon is given by S(r) = 4tr 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, t>0, find the surface area S of the balloon as a function of the time t.
6.
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