9709 P31 - Jun 2015 - Q9
1756
The diagram shows the curve \(y = x^2 e^{2-x}\) and its maximum point \(M\).
(i) Show that the \(x\)-coordinate of \(M\) is 2.
(ii) Find the exact value of \(\int_0^2 x^2 e^{2-x} \, dx\).
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