Answer
0
Work Step by Step
div $\textbf{F}=\nabla \cdot \textbf{F}=\nabla\cdot\langle12x,-6y,-6z\rangle$
$=\frac{\partial}{\partial x}(12x)+\frac{\partial}{\partial y}(-6y)+\frac{\partial}{\partial z}(-6z)$
$=12+(-6)+(-6)=0$
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 14 - Vector Calculus - 14.5 Divergence and Curl - 14.5 Exercises - Page 1107: 11
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