9231 P11 - Jun 2018 - Q1 - 5 marks
5848
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 \(t=3\).
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