CAIE FP1 2004 November — Question 4

Exam BoardCAIE
ModuleFP1 (Further Pure Mathematics 1)
Year2004
SessionNovember
TopicPolar coordinates
4 The curve \(C\) has polar equation $$r = \mathrm { e } ^ { \frac { 1 } { 5 } \theta } , \quad 0 \leqslant \theta \leqslant \frac { 3 } { 2 } \pi$$
  1. Draw a sketch of \(C\).
  2. Find the length of \(C\), correct to 3 significant figures.
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