<p>The rate of change of the area, \(A\) cm\(^{2}\), of a circular oil patch is \(2e^{-t} \cos t\). <br>Find \(A\) in terms of \(t\) if the area of the oil patch is \(11\) cm\(^{2}\) when \(t=0\).</p>

The rate of change of the area, \(A\) cm\(^{2}\), of a circular oil patch is \(2e^{-t} \cos t\). 
Find \(A\) in terms of \(t\) if the area of the oil patch is \(11\) cm\(^{2}\) when \(t=0\).

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International Baccalaureate Mathematics: Analysis and Approaches Higher Level

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