9. (a)
\includegraphics[max width=\textwidth, alt={}, center]{9c377549-1fbd-4790-b57e-37ec9707c9d8-20_540_529_157_278} The shape \(A B C\) shown in the diagram is a student's design for the sail of a small boat. The curve \(A C\) has equation \(y = 2 \log _ { 2 } x\) and the curve \(B C\) has equation \(y = \log _ { 2 } \left( x - \frac { 3 } { 2 } \right) + 3\). State the \(x\)-coordinate of point \(A\).
(b) Determine the \(x\)-coordinate of point \(B\).
(c) By solving an equation involving logarithms, show that the \(x\)-coordinate of point \(C\) is 2 . It is given that, correct to 3 significant figures, the area of the sail is 0.656 units \(^ { 2 }\).
(d) Calculate by how much the area is over-estimated or under-estimated when the curved edges of the sail are modelled as straight lines.
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