CAIE P2 2013 November — Question 5

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2013
SessionNovember
TopicParametric equations

5 The parametric equations of a curve are $$x = 1 + \sqrt { } t , \quad y = 3 \ln t$$
  1. Find the exact value of the gradient of the curve at the point \(P\) where \(y = 6\).
  2. Show that the tangent to the curve at \(P\) passes through the point \(( 1,0 )\).