4 The curve with equation \(y = \mathrm { e } ^ { 2 x } ( \sin x + 3 \cos x )\) has a stationary point in the interval \(0 \leqslant x \leqslant \pi\).
- Find the \(x\)-coordinate of this point, giving your answer correct to 2 decimal places.
- Determine whether the stationary point is a maximum or a minimum.