Question: Consider the following vector fields F and closed oriented curves C in the plane (see figures). a. Based on the picture, make a conjecture about

Consider the following vector fields F and closed oriented curves C in the plane (see figures).F = (yx,x); C: r(t) = (2 cos t, 2 sin t),


a. Based on the picture, make a conjecture about whether the circulation of F on C is positive, negative, or zero.


b. Compute the circulation and interpret the result.

F = (yx,x); C: r(t) = (2 cos t, 2 sin t), for 0 t 2 F = (y - x, x) X C: r(t) = (2 cos t, 2 sin t)

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