CAIE P1 2020 June — Question 6

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2020
SessionJune
TopicConnected Rates of Change

6 A point \(P\) is moving along a curve in such a way that the \(x\)-coordinate of \(P\) is increasing at a constant rate of 2 units per minute. The equation of the curve is \(y = ( 5 x - 1 ) ^ { \frac { 1 } { 2 } }\).
  1. Find the rate at which the \(y\)-coordinate is increasing when \(x = 1\).
  2. Find the value of \(x\) when the \(y\)-coordinate is increasing at \(\frac { 5 } { 8 }\) units per minute.