CAIE P1 2023 March — Question 3

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2023
SessionMarch
TopicConnected Rates of Change

3 A curve has equation \(y = \frac { 1 } { 60 } ( 3 x + 1 ) ^ { 2 }\) 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.