Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 16 - Vector Calculus - Review - Concept Check - Page 1188: 14

Answer

See the explanation below.

Work Step by Step

Stoke's Theorem states that suppose $S$ is an oriented piece-wise smooth surface that is bounded by a simple ,closed , piece-wise smooth curve $C$ with positive orientation. If $F$ is a vector field that has continuous partial derivatives on an open region in $R^3$ over the surface $S$. Then $\int_C F \cdot dr= \iint curl \space F \cdot dS$.
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