9709 P12 - Jun 2025 - Q6
4103
The diagram shows the curve with equation \(y = \frac{9}{(5x+4)^{\frac{1}{2}}}\) and the line \(y = 6 - 3x\). The line and the curve intersect at the point \(P\) which has y-coordinate 3.
Find the area of the shaded region.
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