Question: Vector fields V and W are defined by V = (2x - 3y +z, -3x-y + 4z, 4y+z) W = (2x - 4y -52,-4x+2y,

Vector fields V and W are defined by V = (2x -

Vector fields V and W are defined by V = (2x - 3y +z, -3x-y + 4z, 4y+z) W = (2x - 4y -52,-4x+2y, -5x + 6z). One of these is conservative while the other is not. Determine which is conservative and denote it by F. Find a potential function o for F and evaluate [F. F.dr, where is the curve from A(1,0,0) to B(0,0,1) in which the plane 2 + z = 1 cuts the hemisphere given by 2 + y +2=1, y 0.

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