Edexcel FP3 Specimen — Question 1

Exam BoardEdexcel
ModuleFP3 (Further Pure Mathematics 3)
SessionSpecimen
TopicHyperbolic functions

  1. Find the eigenvalues of the matrix \(\left( \begin{array} { l l } 7 & 6
    6 & 2 \end{array} \right)\)
  2. Find the values of \(x\) for which
$$9 \cosh x - 6 \sinh x = 7$$ giving your answers as natural logarithms.
(Total 6 marks)