**??? - 2015 JUNE Q5**

5.

A curve has an equation which satisfies d

A curve has an equation which satisfies d

^{2}y/dx^{2}= 3*x*^{-1/2}for all positive values of*x*. The point*P*(4,1) lies on the curve, and the gradient of*P*is 5. Find the equation of the curve. [7]