CAIE P2 2022 June — Question 4

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2022
SessionJune
TopicImplicit equations and differentiation

4 A curve has equation \(x ^ { 2 } y + 2 y ^ { 3 } = 48\).
Find the equation of the normal to the curve at the point ( 4,2 ), giving your answer in the form \(a x + b y + c = 0\) where \(a , b\) and \(c\) are integers.