1. A rectangle is inscribed in a triangle enclosed by the coordinate axes and the line 3y=2x+6. Find the largest possible area of this rectangle.
2. Find the point(s) on the parabola y=(1/4)x^2 which is/are closest to the point(0,5).
3. A rectangle is to be inscribed in the circle x^2 + y^2 = 36 . Find the largest possible area of this rectangle.