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Multivariable Calculus

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Moderate

Conditions for Zero Flux

MVCALC-EJXAEX

For what values of $a$ and $b$ does the vector field $\vec{F}=\langle ax, by\rangle $ have zero flux on the counterclockwise oriented unit circle centered at the origin.

A

$a=1,b=1$

B

$a=\pi, b=\pi$

C

$a=2, b=-2$

D

$a=0, b=1$

E

$a=1, b=0$