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Consider the 3-dimensional force field F = (x2 - zey)i + (y3 - xzey)j + (24 - xev) k: (a) (5 points) Show that F

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Consider the 3-dimensional force field F = (x2 - zey)i + (y3 - xzey)j + (24 - xev) k: (a) (5 points) Show that F conservative. (b) (5 points) If F is conservative, find the corresponding potential function f(x, y). (c) (5 points) If an object travels on a path r(t), (to

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