CAIE P2 2021 June — Question 4

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2021
SessionJune
TopicParametric equations
4 A curve has parametric equations $$x = \ln ( 2 t + 6 ) - \ln t , \quad y = t \ln t$$
  1. Find the value of \(t\) at the point \(P\) on the curve for which \(x = \ln 4\).
  2. Find the exact gradient of the curve at \(P\).
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