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The spread of oil leaking from a tanker is in the shape of a circle. If the radius r (in feet) of the spread after t hours is r(t)=200t,r(t)=200 \sqrt{t}, find the area A of the oil slick as a function of the time t.


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In this exercise, we will write the area AA as a function of the time tt using the composition of functions:

(Ar)(t)=A(r(t))(A\circ r)(t)=A(r(t))

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