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\includegraphics[max width=\textwidth, alt={}, center]{17ca6dd2-271b-4b06-8433-354493feaf06-12_485_570_262_790}
The diagram shows parts of the graphs of \(y = 3 - 2 x\) and \(y = 4 - 3 \sqrt { } x\) intersecting at points \(A\) and \(B\).
- Find by calculation the \(x\)-coordinates of \(A\) and \(B\).
- Find, showing all necessary working, the area of the shaded region.