| Exam Board | CAIE |
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| Module | FP1 (Further Pure Mathematics 1) |
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| Year | 2018 |
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| Session | June |
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| Topic | Parametric equations |
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1 The curve \(C\) is defined parametrically by
$$x = \mathrm { e } ^ { t } - t , \quad y = 4 \mathrm { e } ^ { \frac { 1 } { 2 } t }$$
Find the length of the arc of \(C\) from the point where \(t = 0\) to the point where \(t = 3\).