A Given a vector field F = (6xy - y3)i + (4y + 3x2 - 3xy)j, find the potential function f(x,y), thereby showing that F is a conservative field. B Using all the information about the conservative field F from part (a) of this question: Evalute /F.dr along the portion of the ellipse x^2 + 4y^2 =9 in the fourth quadrant from the point (3,0) to the point (0,-3/2) using all the information from part (a) of this question: Suppose that /F.dr= 3 along C where C is the path along the parabola y= 4x^2 -2x from the origin to point A. Use this to evaluate /F dr along C2 where C, is the path from point A back to the origin along a straight line