Show that the following vector fields F are conservatives and find ALL f such that F = Vf. (a) (b) F(x, y, z) = (2xy+z³)i+x²j+3xz²k F(x, y) {(x, y) = R² | x > y}. == Y (x - y)² şi + X (x − y)2j for all (x, y, z) = R³. for all (x,y) ≤ U :=

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