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IV. Let F(x, y, 2) be three dimensional irrotational vector field (zero curl). Let C be the curve parametrizationt, sint, 1), for # e [0,

IV. Let F(x, y, 2) be three dimensional irrotational vector field (zero curl). Let C be the curve parametrizationt, sint, 1), for # e [0, 2x]. Suppose that $ F . dr = 1. Is it possible that F is defined on the entire R3? Explain

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