11 The equation of a curve is \(y = 2 \sqrt { 3 x + 4 } - x\).
- Find the equation of the normal to the curve at the point (4,4), giving your answer in the form \(y = m x + c\).
- Find the coordinates of the stationary point.
- Determine the nature of the stationary point.
- Find the exact area of the region bounded by the curve, the \(x\)-axis and the lines \(x = 0\) and \(x = 4\).
If you use the following lined page to complete the answer(s) to any question(s), the question number(s) must be clearly shown.