AQA Paper 1 2018 June — Question 5

Exam BoardAQA
ModulePaper 1 (Paper 1)
Year2018
SessionJune
TopicParametric equations

5 A curve is defined by the parametric equations $$\begin{aligned} & x = 4 \times 2 ^ { - t } + 3
& y = 3 \times 2 ^ { t } - 5 \end{aligned}$$ 5
  1. Show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = - \frac { 3 } { 4 } \times 2 ^ { 2 t }\)
    5
  2. Find the Cartesian equation of the curve in the form \(x y + a x + b y = c\), where \(a , b\) and \(c\) are integers.