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]