Question: Consider the following vector fields, the circle C, and two points P and Q. a. Without computing the divergence, does the graph suggest that the

Consider the following vector fields, the circle C, and two points P and Q.


F = (x, y) 7111 2 P(-1, 1)" 1, -2 AR 2



a. Without computing the divergence, does the graph suggest that the divergence is positive or negative at P and Q? Justify your answer.


b. Compute the divergence and confirm your conjecture in part (a).


c. On what part of C is the flux outward? Inward?


d. Is the net outward flux across C positive or negative?

F = (x, y) 7111 2 P(-1, 1)" 1, -2 AR 2 F = (x, y) X

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