CAIE P1 2015 June — Question 10

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2015
SessionJune
TopicVolumes of Revolution

10 The equation of a curve is \(y = \frac { 4 } { 2 x - 1 }\).
  1. Find, showing all necessary working, the volume obtained when the region bounded by the curve, the \(x\)-axis and the lines \(x = 1\) and \(x = 2\) is rotated through \(360 ^ { \circ }\) about the \(x\)-axis.
  2. Given that the line \(2 y = x + c\) is a normal to the curve, find the possible values of the constant \(c\).