Difficult# 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.