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Mathematics (AS & A Level) · May / June 2016 · Paper 13 · Question 7

9709

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The point P x, y is moving along the curve y = x2 −10 3 x 3 2 + 5x in such a way that the rate of change of y is constant. Find the values of x at the points at which the rate of change of x is equal to half the rate of change of y. [7]

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