9709 P12 - Nov 2023 - Q9
1271
The diagram shows curves with equations \(y = 2x^{\frac{1}{2}} + 13x^{-\frac{1}{2}}\) and \(y = 3x^{-\frac{1}{2}} + 12\). The curves intersect at points \(A\) and \(B\).
(a) Find the coordinates of \(A\) and \(B\).
(b) Hence find the area of the shaded region.
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