| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2024 |
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| Session | March |
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| Topic | Integration by Substitution |
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3 A curve is such that \(\frac { \mathrm { dy } } { \mathrm { dx } } = 3 ( 4 \mathrm { x } + 5 ) ^ { \frac { 1 } { 2 } }\). It is given that the points \(( 1,9 )\) and \(( 5 , a )\) lie on the curve. Find the value of \(a\).