11 The equation of a curve is \(y = \frac { 9 } { 2 - x }\).
- Find an expression for \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) and determine, with a reason, whether the curve has any stationary points.
- Find the volume obtained when the region bounded by the curve, the coordinate axes and the line \(x = 1\) is rotated through \(360 ^ { \circ }\) about the \(x\)-axis.
- Find the set of values of \(k\) for which the line \(y = x + k\) intersects the curve at two distinct points.
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