In Exercises 6063, let F be the vortex field (so-called because it swirls around the
Chapter 16, Problem 60(choose chapter or problem)
In Exercises 6063, let F be the vortex field (so-called because it swirls around the origin as in Figure 23): F(x, y) = y x2 + y2 , x x2 + y2. Calculate I = C F dr, where C is the circle of radius 2 centered at the origin. Verify that I changes sign when C is oriented in the clockwise direction.
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