| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2016 |
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| Session | June |
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| Topic | Non-constant acceleration |
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7 The point \(P ( x , y )\) is moving along the curve \(y = x ^ { 2 } - \frac { 10 } { 3 } x ^ { \frac { 3 } { 2 } } + 5 x\) in such a way that the rate of change of \(y\) is constant. Find the values of \(x\) at the points at which the rate of change of \(x\) is equal to half the rate of change of \(y\).