5.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{f1ef99f0-4ad4-49d8-bee7-d5bb9cc84660-07_823_1081_267_404}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Figure 2 shows the line with equation \(y = 10 - x\) and the curve with equation \(y = 10 x - x ^ { 2 } - 8\)
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 area \(R\) is bounded by the line and the curve, as shown in Figure 2.
- Calculate the exact area of \(R\).