CAIE P2 2015 November — Question 3

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2015
SessionNovember
TopicParametric equations

3 The parametric equations of a curve are $$x = ( t + 1 ) \mathrm { e } ^ { t } , \quad y = 6 ( t + 4 ) ^ { \frac { 1 } { 2 } }$$ Find the equation of the tangent to the curve when \(t = 0\), giving the answer in the form \(a x + b y + c = 0\) where \(a , b\) and \(c\) are integers.