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9709 P12 - Mar 2020 - Q10 - 10 marks
1391

A curve has \(dy/dx=2\sqrt{x+3}-x\) and a stationary point \((a,14)\), with \(a>0\).

(a) Find \(a\). [3]

(b) Determine the nature of the stationary point. [3]

(c) Find the curve equation. [4]

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