The diagram shows part of the curve $y=2x-x^2$ and the line $PQ$ joining the point $P(0,4)$ to

Question

The diagram shows part of the curve $y=2x-x^2$ and the line $PQ$ joining the point $P(0,4)$ to $Q$, the maximum point of the curve. Find the coordinates of the point $Q$. Find the area of the shaded region.

Accepted Answer

(a) $Q=(1,1)$ (b) $\frac{11}{6}\text{ units}^2$

Integration - Exercise Questions

Integration - Exercise Questions

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