Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 16: Integrals and Vector Fields - Section 16.8 - The Divergence Theorem and a Unified Theory - Exercises 16.8 - Page 1025: 2

Answer

$2$

Work Step by Step

We know that $$ div F=\dfrac{\partial P}{\partial x}i+\dfrac{\partial Q}{\partial y}j $$ $ p=1; Q=1$ So, $$ div F=\dfrac{\partial}{\partial x}[x]+\dfrac{\partial}{\partial y} [y] \\=1+1 \\=2$$
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