Multivariable Calculus, 7th Edition

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

Chapter 12 - Vectors and the Geometry of Space - 12.6 Exercises - Page 856: 6

Answer

parabolic cylinder

Work Step by Step

There is no x in the equation and the trace in the yz plane is a parabola: $y=z^{2}$ Translating this parabola along the x axis, into planes $x=k$, we obtain a parabolic cylinder.
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