| Exam Board | CAIE |
|---|
| Module | FP1 (Further Pure Mathematics 1) |
|---|
| Year | 2011 |
|---|
| Session | June |
|---|
| Topic | Centre of Mass 2 |
|---|
9 The curve \(C\) has equation \(y = x ^ { \frac { 3 } { 2 } }\). Find the coordinates of the centroid of the region bounded by \(C\), the lines \(x = 1 , x = 4\) and the \(x\)-axis.
Show that the length of the arc of \(C\) from the point where \(x = 5\) to the point where \(x = 28\) is 139 .