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 \(t = 3\).
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 $t = 3$.\\
\hfill \mbox{\textit{CAIE FP1 2018 Q1}}