Consider the vortex eld F = . The domain of F is all of R2 except for the origin. 3 + y :r + y (a) Writing F = (P, Q), do (iiQ and % equal each other? Does this tell you whether or not F is :7: conservative? (b) Compute 5g F - dr, where C is the circle of radius 1 centered at the origin with counterclockwise - c orientation. Does this tell you whether or not F is conservative? (c) Do your answers to the previous two parts contradict each other? Why or why not