The curve \(C\) has equation \(y = \frac { 5 ( x - 1 ) ( x + 2 ) } { ( x - 2 ) ( x + 3 ) }\).
- Express \(y\) in the form \(P + \frac { Q } { x - 2 } + \frac { R } { x + 3 }\).
- Show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 0\) for exactly one value of \(x\) and find the corresponding value of \(y\).
- Write down the equations of all the asymptotes of \(C\).
- Find the set of values of \(k\) for which the line \(y = k\) does not intersect \(C\).