CAIE P2 2014 June — Question 4

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2014
SessionJune
TopicParametric equations

4 The parametric equations of a curve are $$x = 2 \ln ( t + 1 ) , \quad y = 4 \mathrm { e } ^ { t }$$ Find the equation of the tangent to the curve at the point for which \(t = 0\). Give your answer in the form \(a x + b y + c = 0\), where \(a , b\) and \(c\) are integers.