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Determine whether the statement is true or false. Explain your answer. $$ \begin{array}{l}{\text { If } G \text { is a solid whose surface } \sigma \text { is orie...

Question

Determine whether the statement is true or false. Explain your answer. $$ \begin{array}{l}{\text { If } G \text { is a solid whose surface } \sigma \text { is oriented outward, and if }} \\ {\text { div } \mathbf{F}>0 \text { at all points of } G, \text { then the flux of } \mathbf{F} \text { across } \sigma \text { is }} \\ {\text { positive. }}\end{array} $$

Determine whether the statement is true or false. Explain your answer. $$ \begin{array}{l}{\text { If } G \text { is a solid whose surface } \sigma \text { is oriented outward, and if }} \\ {\text { div } \mathbf{F}>0 \text { at all points of } G, \text { then the flux of } \mathbf{F} \text { across } \sigma \text { is }} \\ {\text { positive. }}\end{array} $$



Answers

Determine whether the statement is true or false. Explain your answer.
$$ \begin{array}{l}{\text { If } G \text { is a solid whose surface } \sigma \text { is oriented outward, and if }} \\ {\text { div } \mathbf{F}>0 \text { at all points of } G, \text { then the flux of } \mathbf{F} \text { across } \sigma \text { is }} \\ {\text { positive. }}\end{array} $$


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