The diagram shows the curve with equation y = 5 + 2x x 2 and the

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The diagram shows the curve with equation y = 5 + 2x − x2 and the line with equation y = 2.


The curve and the line intersect at the points A and B.


a. Find the x-coordinates of A and B.


b. The shaded region R is bounded by the curve and the line. Find the area of R.


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