| Exam Board | CAIE |
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| Module | Further Paper 2 (Further Paper 2) |
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| Year | 2022 |
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| Session | June |
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| Topic | Polar coordinates |
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1 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 \(s\).