Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 16 - Vector Calculus - 16.1 Exercises - Page 1085: 14

Answer

Graph II.

Work Step by Step

We see that as $x$ increases, the vector gets longer in the $y$ direction. Furthermore, we see that the vector's $x$ direction somewhat resembles a $\cos$ function, making Graph II closely resemble $\mathbf{F}(x,y) = \langle \cos(x+y),x \rangle$.
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