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\includegraphics[max width=\textwidth, alt={}, center]{6a690aa5-63a7-4569-afa8-0746814ebab4-4_648_1132_262_504} The diagram shows the curves \(y = \ln x\) and \(y = 2 \ln ( x - 6 )\). The curves meet at the point \(P\) which has \(x\)-coordinate \(a\). The shaded region is bounded by the curve \(y = 2 \ln ( x - 6 )\) and the lines \(x = a\) and \(y = 0\).

1. Give details of the pair of transformations which transforms the curve \(y = \ln x\) to the curve \(y = 2 \ln ( x - 6 )\).
2. Solve an equation to find the value of \(a\).
3. Use Simpson's rule with two strips to find an approximation to the area of the shaded region.