Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 16 - Vector Calculus - Review - Concept Check - Page 1160: 15

Answer

See the explanation below.

Work Step by Step

Divergence Theorem states that suppose $E$ defines a simple, solid region and $S$ is the boundary surface with positive orientation. If $F$ is a vector field that has continuous partial derivatives on an open region in $R^3$ over the region E, then: $\iint F \cdot dS= \iiint_E div\,F \,dV$.
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