OCR C4 — Question 4

Exam BoardOCR
ModuleC4 (Core Mathematics 4)
TopicParametric equations

4. A curve has parametric equations $$x = t ^ { 3 } + 1 , \quad y = \frac { 2 } { t } , \quad t \neq 0$$
  1. Find an equation for the normal to the curve at the point where \(t = 1\), giving your answer in the form \(y = m x + c\).
  2. Find a cartesian equation for the curve in the form \(y = \mathrm { f } ( x )\).