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\includegraphics[max width=\textwidth, alt={}, center]{5b558b70-df50-437e-8425-47954f360765-3_842_695_1103_724}
The diagram shows parts of the graphs of \(y = x + 2\) and \(y = 3 \sqrt { } x\) intersecting at points \(A\) and \(B\).
- Write down an equation satisfied by the \(x\)-coordinates of \(A\) and \(B\). Solve this equation and hence find the coordinates of \(A\) and \(B\).
- Find by integration the area of the shaded region.
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[Question 10 is printed on the next page.]