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Circulation and flux For the following vector fields, compute (a) the circulation on, and (b) the outward flux across, the boundary of the given region. Assume boundary curves are oriented counterclockwise.$\mathbf{F}=\langle 2 x+y, x-4 y\rangle ; R$ is the quarter-annulus $\{(r, \theta): 1 \leq r \leq 4,0 \leq \theta \leq \pi / 2\}$

a. 0b. $-\frac{15 \pi}{2}$

Calculus 3

Chapter 17

Vector Calculus

Section 4

Green's Theorem

Vectors

Vector Functions

Campbell University

Harvey Mudd College

Baylor University

Boston College

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