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2. Show that the vector field F(x, y, z) = xzx + xyz+ y22 is not a conservative. 3. Given F(x, y, z) =

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2. Show that the vector field F(x, y, z) = xzx + xyz+ y22 is not a conservative. 3. Given F(x, y, z) = sin yzx + sin zr + sin xy2 show that V. (V x F) = 0 4.

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