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(d) Consider the curve =- 4x2 x2 _9 (i) Show that the curve has only one stationary point. Find its coordinates and determin nature. [45]

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(d) Consider the curve =- 4x2 x2 _9 (i) Show that the curve has only one stationary point. Find its coordinates and determin nature. [45] (ii) Write down the equations of any vertical asymptotes. [46] (iii) Discuss the behaviour of the curve as x - too. [47] (iv) Hence sketch the curve. (48)

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