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Consider the curve (in the plane) formed by: the line segment from (2, 0) to...

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Basic Math

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Consider the curve (in the plane) formed by: the line segment from (2, 0) to (5,0), the part of the circle of radius 5 (about the origin) from (5,0) to (0, 5), the line segment from (0, 5) to (0,4), and the part of the parabola y = 4x from (0, 4) to (2,0). Orient this curve so that the direction of travel on the first line segment is from (2,0) to (5,0). Let f(x, y) = In ?x + y. Calculate the flux of Vf across this curve (with the given orientation).

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