Answer
See image:
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Work Step by Step
In the plane xy, ($z=0$) the surface leaves an ellipse as a trace.
$\displaystyle \frac{x^{2}}{3^{2}}+\frac{y^{2}}{6^{2}}=1$
Draw several such ellipsess in planes parallel to xy.
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 11 - Section 11.6 - Cylinders and Quadric Surfaces - Exercises - Page 636: 16
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