9709 P31 - Nov 2020 - Q10
1769
The diagram shows the curve \(y = (2-x)e^{-\frac{1}{2}x}\), and its minimum point \(M\).
(a) Find the exact coordinates of \(M\).
(b) Find the area of the shaded region bounded by the curve and the axes. Give your answer in terms of \(e\).
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