14.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{a9870c94-0910-46ec-a54a-44a431cb324e-46_524_855_255_539}
\captionsetup{labelformat=empty}
\caption{Figure 5}
\end{figure}
Figure 5 shows a sketch of the curves \(C _ { 1 }\) and \(C _ { 2 }\)
$$\begin{aligned}
& C _ { 1 } \text { has equation } y = 3 + \mathrm { e } ^ { x + 1 } \quad x \in \mathbb { R }
& C _ { 2 } \text { has equation } y = 10 - \mathrm { e } ^ { x } \quad x \in \mathbb { R }
\end{aligned}$$
Given that \(C _ { 1 }\) and \(C _ { 2 }\) cut the \(y\)-axis at the points \(P\) and \(Q\) respectively,
- find the exact distance \(P Q\).
\(C _ { 1 }\) and \(C _ { 2 }\) intersect at the point \(R\). - Find the exact coordinates of \(R\).
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