3.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{3fbdfb55-5dd5-44ab-b031-d39e64bdfc3b-04_538_953_251_532}
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\caption{Figure 1}
\end{figure}
Figure 1 shows a sketch of the curve \(C\) which has equation
$$y = \mathrm { e } ^ { x \sqrt { 3 } } \sin 3 x , \quad - \frac { \pi } { 3 } \leqslant x \leqslant \frac { \pi } { 3 }$$
- Find the \(x\) coordinate of the turning point \(P\) on \(C\), for which \(x > 0\) Give your answer as a multiple of \(\pi\).
- Find an equation of the normal to \(C\) at the point where \(x = 0\)