2 A curve is defined, for \(t \neq 0\), by the parametric equations
$$x = 4 t + 3 , \quad y = \frac { 1 } { 2 t } - 1$$
At the point \(P\) on the curve, \(t = \frac { 1 } { 2 }\).
- Find the gradient of the curve at the point \(P\).
- Find an equation of the normal to the curve at the point \(P\).
- Find a cartesian equation of the curve.