A curve is such that $\frac{{dy}}{{dx}} = \frac{2}{{\surd x}} - 1$ and $P\left( {9,{\text{ }}5} \right)$ is a point on the curve.
a) Find the equation of the curve.
b) Find the coordinates of the stationary point on the curve.
c) Find an expression for $\frac{{{d^2}y}}{{d{x^2}}}$ and determine the nature of the stationary point.
d) The normal to the curve at $P$ makes an angle of ${\tan ^{ - 1}}k$ with the positive x-axis. Find the value of $k$.
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