Question: Consider a vector field - y F(x, y) = 1 2 2 + 2/2 x2 + 2/2 in the area D = R2 {(0,

Consider a vector field - y F(x, y) = 1 2

Consider a vector field - y F(x, y) = 1 2 2 + 2/2 x2 + 2/2 in the area D = R2 \\ {(0, 0) } = plane missing the origin. Show that the vector field F has no potential in the region D

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