Of the two vector fields F = x y2z3 i + 2x 2 y j + 3x 2 y2z2 k and G = 2x y i + (x 2 +

Chapter 6, Problem 18

(choose chapter or problem)

Of the two vector fields F = x y2z3 i + 2x 2 y j + 3x 2 y2z2 k and G = 2x y i + (x 2 + 2yz) j + y2 k, one is conservative and one is not. Determine which is which, and, for the conservative field, find a scalar potential function.

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