State the Divergence Theorem $\int _ { S } \vec { H } \cdot \vec { d A } = \int _ { W } { div } { \vec { F} } d V$

Multiple Choice

State the Divergence Theorem.

A) If W is a solid region whose boundary S is a piecewise smooth surface, then $\int _ { S } \vec { H } \cdot \vec { d A } = \int _ { W } { div } { \vec { F} } d V$
B) If W is a solid region whose boundary S is a smooth surface oriented outward, then $\int _ { S } \vec { H } \cdot \vec { d A } = \int _ { W } { div } { \vec { F} } d V$
C) If W is a solid region whose boundary S is a piecewise smooth surface oriented outward, and if $\vec { F }$ is a smooth vector field on an open region containing W and S, then
$\int_{S} \vec{F} \cdot \overrightarrow{d A}=\int_{W} \operatorname{div} \vec{F} d V$
D) If W is a solid region whose boundary S is a piecewise smooth surface oriented outward, then $\int _ { S } \vec { F } \cdot \vec { d A } = \int _ { W } { div } \vec { F } \cdot \overrightarrow { d \bar { V } }$
E) If S is a solid region whose boundary W is a piecewise smooth surface oriented outward, then $\int _ { S } \vec { F } \cdot \vec { d A } = \int _ { W } { div } \vec { F } { d { V } }$