Calculus 8th Edition

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

Chapter 16 - Vector Calculus - Review - True-False Quiz - Page 1188: 9



Work Step by Step

TRUE; Since curl is simply chain rule with the partial, and that $\frac{\partial R}{\partial x} +\frac{\partial Q}{\partial x} = \frac{\partial(R+Q)}{\partial x}$, it follows that curl$(\mathbf{F}+\mathbf{G})=$ curl $\mathbf{F}$ + curl $\mathbf{G}$.
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