Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 15 - Topics In Vector Calculus - 15.1 Vector Fields - Exercises Set 15.1 - Page 1092: 9

Answer

The arrows point mostly to the right (since the x-component is constant and equal to 1) and oscillate vertically according to the cosine of y.

Work Step by Step

Result: The resulting plot shows uniform horizontal flow (rightward) with a vertical oscillation that varies smoothly with $\cos y$. . This represents a simple, smooth vector field where vectors tilt slightly up or down as y changes.
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