Question
Asked Dec 17, 2019
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Suppose the spread of an oil leak from a tanker can be approximated by a circle with the tanker at its center and radius r, in feet. The radius of the spill t hours after the beginning of the leak is given by

r(t) = 47t.
(a) Find the area of the spill as a function of time.
A(t) =
 
 


(b) What is the area of the spill after 5 h? Round to the nearest whole number.
ft2
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Expert Answer

Step 1

(a)

Area of the spill that is approximated by a circle with radius r(t) is given by:

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A = Tr

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Step 2

It is given that the radius of the spill t hours after beginning of the leak is given b...

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A(t) = #(47t)* = 7(2209)f² = TO 6936.79ť²

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Math

Algebra