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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 = 4 - x² 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) = ln√(x² + y²). Calculate the flux of ∇f across this curve (with the given orientation).?
Sagot :
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