Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 15 - Vector Analysis - 15.1 Exercises - Page 1050: 59

Answer

$\cos x-\sin y+2z$

Work Step by Step

div $\textbf{F}=\nabla\cdot \textbf{F}=\nabla\cdot\langle \sin x,\cos y, z^{2}\rangle$ $=\frac{\partial}{\partial x}(\sin x)+\frac{\partial}{\partial y}(\cos y)+\frac{\partial}{\partial z}(z^{2})$ $=\cos x+(-\sin y)+2z$ $=\cos x-\sin y+2z$
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