5 In this question you must show detailed reasoning.
This question is about the curve \(y = x ^ { 3 } - 5 x ^ { 2 } + 6 x\).
- Find the equation of the tangent, \(T\), to the curve at the point ( 0,0 ).
- Find the equation of the normal, \(N\), to the curve at the point ( 1,2 ).
- Find the coordinates of the point of intersection of \(T\) and \(N\).