Multivariable Calculus, 7th Edition

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

Chapter 13 - Vector Functions - 13.1 Exercises - Page 870: 23

Answer

Graph V.

Work Step by Step

Observing x and z, we see that $z=x^{2}$, regardless of y. We look for a parabolic cylinder propagating along the y-axis, as the curve will lie on this surface. The values for y are 1/(positive number greater than 1), so they are between 0 and 1. This gives us graph V.
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