| Exam Board | OCR |
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| Module | C1 (Core Mathematics 1) |
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| Year | 2009 |
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| Session | January |
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| Topic | Differentiation Applications |
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| Type | Find stationary points |
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9 The curve \(y = x ^ { 3 } + p x ^ { 2 } + 2\) has a stationary point when \(x = 4\). Find the value of the constant \(p\) and determine whether the stationary point is a maximum or minimum point.