Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 12: Vectors and the Geometry of Space - Section 12.6 - Cylinders and Quadric Surfaces - Exercises 12.6 - Page 732: 19

Answer

See image:
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Work Step by Step

In the xy plane $(z=0)$: $\displaystyle \frac{x^{2}}{3^{2}}+\frac{y^{2}}{2^{2}}=1\qquad$ ... ellipse In the xz plane ($y=0)$ $\displaystyle \frac{x^{2}}{3^{2}}+\frac{z^{2}}{3^{2}}=1\qquad$ ... circle In the yz plane $(x=0):$ $\displaystyle \frac{y^{2}}{3^{2}}+\frac{z^{2}}{2^{2}}=1\qquad$ ... ellipse
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