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Question

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 $r(t)=200 \sqrt{t},$ find the area A of the oil slick as a function of the time t.

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Solution B

Answered 1 year ago

Step 1

1 of 5In this exercise, we will write the area $A$ as a function of the time $t$ using the composition of functions:

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

Answered 2 years ago

Step 1

1 of 6$\begin{align*} A\left(r\right)= \pi r^2 \end{align*}$

Consider the given $r(t)=200\sqrt{t}$ where the area of the circle formed would be:

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