9231 P11 - Nov 2022 - Q07
4252
The curve \(C\) has equation \(y = \frac{5x^2}{5x-2}\).
- Find the equations of the asymptotes of \(C\).
- Find the coordinates of the stationary points on \(C\).
- Sketch \(C\).
- Sketch the curve with equation \(y = \left| \frac{5x^2}{5x-2} \right|\) and find in exact form the set of values of \(x\) for which \(\left| \frac{5x^2}{5x-2} \right| < 2\).
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