Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 17 - Line and Surface Integrals - 17.1 Vector Fields - Exercises - Page 920: 50

Answer

(B)

Work Step by Step

We see from Figure 14 that the level curves in (B) is perpendicular to the vector field ${\bf{F}}$. Since the gradient vectors are perpendicular to the level curves, so (B) is the contour plot of a potential function for the vector field ${\bf{F}}$.
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