| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2019 |
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| Session | November |
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| Topic | Standard Integrals and Reverse Chain Rule |
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3 A curve is such that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { k } { \sqrt { } x }\), where \(k\) is a constant. The points \(P ( 1 , - 1 )\) and \(Q ( 4,4 )\) lie on the curve. Find the equation of the curve.