| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2012 |
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| Session | November |
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| Topic | Differentiation Applications |
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| Type | Related rates problems |
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3 An oil pipeline under the sea is leaking oil and a circular patch of oil has formed on the surface of the sea. At midday the radius of the patch of oil is 50 m and is increasing at a rate of 3 metres per hour. Find the rate at which the area of the oil is increasing at midday.