| Exam Board | CAIE |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2016 |
| Session | November |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Area Under & Between Curves |
7 The curve $C$ has equation $y = \mathrm { e } ^ { - 2 x }$. Find, giving your answers correct to 3 significant figures,\\
(i) the mean value of $\frac { \mathrm { d } y } { \mathrm {~d} x }$ over the interval $0 \leqslant x \leqslant 2$,\\
(ii) the coordinates of the centroid of the region bounded by $C$, $x = 0$, $x = 2$ and $y = 0$.
\hfill \mbox{\textit{CAIE FP1 2016 Q7}}