10 The curve with equation \(y = x ^ { 3 } - 2 x ^ { 2 } + 5 x\) passes through the origin.
- Show that the curve has no stationary points.
- Denoting the gradient of the curve by \(m\), find the stationary value of \(m\) and determine its nature.
- Showing all necessary working, find the area of the region enclosed by the curve, the \(x\)-axis and the line \(x = 6\).
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