Multivariable Calculus, 7th Edition

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

Chapter 14 - Partial Derivatives - 14.1 Exercises - Page 913: 30

Answer

Top part (above z=0) of an elliptic cone.

Work Step by Step

Trace in x=0: $z=|y|$. Trace in y=0: $z=2|x|$. Traces when z is below $0$: none (square roots are nonnegative). Traces for z above 9: ellipses, $4x^{2}+y^{2}=k^{2}.$ Graph: top part of an elliptic cone.
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