| Exam Board | CAIE |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2014 |
| Session | June |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Parametric equations |
8 The curve $C$ has parametric equations
$$x = t ^ { 2 } , \quad y = t - \frac { 1 } { 3 } t ^ { 3 } , \quad \text { for } 0 \leqslant t \leqslant 1 .$$
Find\\
(i) the arc length of $C$,\\
(ii) the surface area generated when $C$ is rotated through $2 \pi$ radians about the $x$-axis.
\hfill \mbox{\textit{CAIE FP1 2014 Q8}}