AQA FP2 2012 January — Question 1

Exam BoardAQA
ModuleFP2 (Further Pure Mathematics 2)
Year2012
SessionJanuary
TopicHyperbolic functions

1
  1. Show, by means of a sketch, that the curves with equations $$y = \sinh x$$ and $$y = \operatorname { sech } x$$ have exactly one point of intersection.
  2. Find the \(x\)-coordinate of this point of intersection, giving your answer in the form \(a \ln b\).