The surface area S (in square meters) of a hot-air balloon is given by S(r) = 4tr² 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) = =2²₁t function of the time t. ... , t≥0, find the surface area S of the balloon as a S(t)= (Type an expression using t as the variable. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.)
The surface area S (in square meters) of a hot-air balloon is given by S(r) = 4tr² 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) = =2²₁t function of the time t. ... , t≥0, find the surface area S of the balloon as a S(t)= (Type an expression using t as the variable. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.)
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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Transcribed Image Text:The surface area S (in square meters) of a hot-air balloon is given by S(r) = 4+² 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) = ₁², t≥ 0, find the surface area S of the balloon as a
function of the time t.
S(t) =
(Type an expression using t as the variable. Type an exact answer, using as needed. Use integers or fractions for any numbers in
the expression. Simplify your answer.)
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