5.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{657b12c4-cab7-4fc1-9481-94131aeeb6b9-12_595_1579_194_274}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
The curves in Figure 1 have equations
$$y = 6 \cosh ( x ) \text { and } y = 9 - 2 \sinh ( x )$$
- Find exact values for the \(x\)-coordinates of the two points where the curves intersect.
The finite region between the two curves is shaded in Figure 1.
- Using calculus, find the area of the shaded region, giving your answer in the form \(a \ln ( b ) + c\), where \(a , b\) and \(c\) are integers.
[0pt]
[BLANK PAGE]