The curve C has equation y = 2x 2 3x 2/ x2 2x +

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The curve C has equation y = 2x2 – 3x – 2/ x2 – 2x + 1. State the equations of the asymptotes of C.

Show that y ≤ 25/12 at all points of C.

Find the coordinates of any stationary points of C.

Sketch C, stating the coordinates of any intersections of C with the coordinate axes and the asymptotes.

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