CAIE P1 2002 November — Question 4

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2002
SessionNovember
TopicIntegration by Substitution

4 The gradient at any point \(( x , y )\) on a curve is \(\sqrt { } ( 1 + 2 x )\). The curve passes through the point \(( 4,11 )\). Find
  1. the equation of the curve,
  2. the point at which the curve intersects the \(y\)-axis.