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Determine the rate at which the area of the oil is increasing at midday.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
Oil is escaping from a pipeline beneath the sea, forming a circular patch of oil on the sea surface. By midday, the patch has radius 50 m and the radius is growing at 3 metres per hour.
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This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Using $A=\pi r^2$ and differentiating gives $\frac{dA}{dr}=2\pi r$” …
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