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: 11

Answer

An Elliptical cone along $y$-axis as represented by $\bf{Graph(h)}$

Work Step by Step

Given: $x^2+4z^2=y^2$ ...(1) Re-write as: $\dfrac{x^2}{1}+\dfrac{z^2}{(1/2)^2}=\dfrac{y^2}{1}$ ...(2) Hence, the equation (2) shows a graph for an Elliptical cone along $y$-axis as represented by $\bf{Graph(h)}$
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