Question: MAT 255: 17.3 Conservative Vector Fields 1. Which of F(x, y) = (-y, x) and G(x, y) = (y, x) is conservative in R2 and

MAT 255: 17.3 Conservative Vector Fields 1. Which of F(x, y)

MAT 255: 17.3 Conservative Vector Fields 1. Which of F(x, y) = (-y, x) and G(x, y) = (y, x) is conservative in R2 and why? 2. If again F(x, y) = (-y, x), G(x, y) = (y, x), and C is the unit circle r(t) = (cos(t), sin(t)) for Jo 0

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