CAIE P1 2017 June — Question 5

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2017
SessionJune
TopicConnected Rates of Change

5 A curve has equation \(y = 3 + \frac { 12 } { 2 - x }\).
  1. Find the equation of the tangent to the curve at the point where the curve crosses the \(x\)-axis.
  2. A point moves along the curve in such a way that the \(x\)-coordinate is increasing at a constant rate of 0.04 units per second. Find the rate of change of the \(y\)-coordinate when \(x = 4\).