Integration - Area Bounded by a Curve and Straight Lines

The diagram shows parts of the curve \(y = 3 - \sqrt{2x}\) and the line \(2y = x\). The curve and the line intersect at the point \(A\). The curve \(y = 3 - \sqrt{2x}\) cuts the axes at \((0, 3)\) and \((4.5, 0)\).

1. Show that the area bounded by the curve \(y = 3 - \sqrt{2x}\), the \(x\)-axis and the line \(x = 9\) can be expressed as \((a\sqrt{2} + b)\) square units, where \(a\) and \(b\) are constants.
2. Find the coordinates of point \(A\).
3. Find the area bounded by the straight line \(2y = x\), the curve \(y = 3 - \sqrt{2x}\) and the \(y\)-axis.

The coefficients in the requested exact form are rational numbers.