9231 P13 - Nov 2013 - Q7 - 9 marks
6447
The curve \(C\) has equation
\(y=\frac{2 x^{2}+5 x-1}{x+2}\)
Find the equations of the asymptotes of \(C\).
Show that \(\frac{\mathrm{d} y}{\mathrm{~d} x}\gt 2\) at all points on \(C\).
Sketch \(C\).
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