8.
\begin{figure}[h]
\captionsetup{labelformat=empty}
\caption{Figure 3}
\includegraphics[alt={},max width=\textwidth]{8c2ee205-d02f-413d-abf7-e259c0734353-4_965_1125_301_278}
\end{figure}
Fig. 3 shows the line with equation \(y = 9 - x\) and the curve with equation \(y = x ^ { 2 } - 2 x + 3\).
The line and the curve intersect at the points \(A\) and \(B\), and \(O\) is the origin.
- Calculate the coordinates of \(A\) and the coordinates of \(B\).
The shaded region \(R\) is bounded by the line and the curve.
- Calculate the area of \(R\).
[0pt]
[P1 June 2003 Question 7]