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Determine whether F is a conservative vector field. If it is, find the corresponding potential function. (a) F(x, y) = x2yi + 5xyj (b) F(x,

Determine whether F is a conservative vector field. If it is, find the corresponding potential function. (a) F(x, y) = x2yi + 5xyj (b) F(x, y, z) = (3x2y z + 5y) )i + ( 2x3yz + 15xy2 - 72)j + (x3y? - 7y + 423)k

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