Circulation and flux Consider the following vector

QUESTION:

Circulation and flux Consider the following vector fields.

a. Compute the circulation on the boundary of the region R (with counterclockwise orientation).

b. Compute the outward flux across the boundary of R.

F = r/|r|, where \(r=\langle x, y\rangle\) and R is the half annulus \(\{(r, \theta): 1 \leq r \leq 3,0 \leq \theta \leq \pi\}\)

Text Transcription:

r = langle x, y rangle

{(r, theta): 1 leq r leq 3, 0 leq theta leq pi}