(i)[4]
A curve is defined by $\frac{dy}{dx} = x^2 - x^{\frac{1}{2}}$. The curve goes through the point $(4, \frac{2}{3})$. Find the equation of the curve.
(ii)[2]
Find the value of $\frac{d^2y}{dx^2}$.
(iii)[5]
Find the coordinates of the stationary point and decide on its nature.