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 whether the circulation of F on C is positive, negative, or zero.

b. Compute the circulation and interpret the result.

(x, y) (x + y)/2 (2, 2), traversed counterclockwise. F = C is the boundary of the square with vertices F = (x, y) (x + y2)1/2