Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 14 - Vector Calculus - 14.4 Green's Theorem - 14.4 Exercises - Page 1097: 4

Answer

$12x^2 y+2xy+4x^3$

Work Step by Step

Here, we have $f(x, y)=4x^3y$ and $g (x, y)=xy^2+x^4$ The divergence of the given functions can be calculated as: $\dfrac{\partial f}{\partial x}+\dfrac{\partial g}{\partial y}=12x^2 y+2xy+4x^3$ or, $=12x^2 y+2xy+4x^3$
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