CAIE P1 2004 November — Question 7

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2004
SessionNovember
TopicIntegration by Substitution

7 A curve is such that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 6 } { \sqrt { } ( 4 x - 3 ) }\) and \(P ( 3,3 )\) is a point on the curve.
  1. Find the equation of the normal to the curve at \(P\), giving your answer in the form \(a x + b y = c\).
  2. Find the equation of the curve.