Question

A curve is represented parametrically by the equations \[\begin{equation*} x = (3-2t)^2, \quad y = t^2 - 2t. \end{equation*}\]

Find

  1. \(dy/dx\) in terms of \(t\),
  2. the co-ordinates of the stationary point of the curve,
  3. the equation of the normal at the point where \(t = 2\).