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9709 P12 - Nov 2022 - Q11
1315

The diagram shows the curves with equations \(y = \frac{9}{4}x^2 - 12x + 18\) and \(y = 18 - \frac{3}{8}x^{\frac{5}{2}}\). The curves intersect at the points (0, 18) and (4, 6).

Find the area of the shaded region.

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