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9709 P12 - Mar 2023 - Q3 - 4 marks
1130

A curve has equation \(y = \frac{1}{60}(3x + 1)^2\) and a point is moving along the curve.

Find the \(x\)-coordinate of the point on the curve at which the \(x\)- and \(y\)-coordinates are increasing at the same rate.

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