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Statements Using Green's Theorem

MVCALC-EXPG1I

Which of the following statements are TRUE?

I. If $\vec{F}$ is a conservative vector field, then the circulation of $\vec{F}$ about a closed curve is zero.
II. If the cross partials of $\vec{F}$ are equal everywhere, then the circulation of $\vec{F}$ about a closed curve is zero.
III. A positively oriented boundary of a region $R$ is always traversed counterclockwise.
IV. It is possible to calculate areas of regions using Green's Theorem.

A

All statements are true.

B

I, II, and IV are true.

C

I, II, and III are true.

D

Only I and II are true.

E

None of the Above