For the following vector fields, compute

(a) The circulation on 

(b) The outward flux across the boundary of the given region. Assume boundary curves have counterclockwise orientation.

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F = V(√x² + y²), where R is the half annulus {(r, 0): 1 ≤ r ≤ 3,0 ≤ 0 ≤ T}