1. Let F(x, y) = (2xy + y−³)i + (x² − 3ry-¹)j be a vector field on the upper half of the plane D = {(1, y)ly >0}. (a) Use Theorem 6 in section 13.3 to show that F is a conservative vector field. (b) Use partial integration to find a potential function f(x, y) of F.

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