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9231 P21 - Jun 2022 - Q1 - 5 marks
5975

The curve \(C\) has polar equation \(r=\mathrm{e}^{\frac{3}{4} \theta}\) for \(0 \leqslant \theta \leqslant \alpha\).
Given that the length of \(C\) is \(s\), find \(\alpha\) in terms of \(s\).

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