AQA FP2 2013 January — Question 1

Exam BoardAQA
ModuleFP2 (Further Pure Mathematics 2)
Year2013
SessionJanuary
TopicHyperbolic functions
1
  1. Show that $$12 \cosh x - 4 \sinh x = 4 \mathrm { e } ^ { x } + 8 \mathrm { e } ^ { - x }$$
  2. Solve the equation $$12 \cosh x - 4 \sinh x = 33$$ giving your answers in the form \(k \ln 2\).
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