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The diagram shows part of the curve \(y = ( 3 - x ) \mathrm { e } ^ { - \frac { 1 } { 3 } x }\) for \(x \geqslant 0\), and its minimum point \(M\).
- Find the exact coordinates of \(M\).
- Find the area of the shaded region bounded by the curve and the axes, giving your answer in terms of e.