If g(x) = x² + x $$-$$ 2 and $$\frac{1}{2}gof(x)=2x^2-5x+2$$, then f(x) is equal to

If f(x) = 4x $$-$$ x², x$$\in$$R, and f(a + 1) $$-$$ f(a $$-$$ 1) = 0, then a is equal to

The maximum value of the function y = x(x $$-$$ 1)², is

Find the area enclosed by the loop in the curve 4y² = 4x² $$-$$ x³.