The figure shows the vector field F(x, y) = (2xy, x 2 )and three curves that start
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The figure shows the vector field F(x, y) = (2xy, x2)and three curves that start at (1, 2) and end at (3, 2).
(a) Explain why ∫C F • dr has the same value for all three curves.
(b) What is this common value?
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