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Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643

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BuyFindarrow_forward

Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643
Textbook Problem

Sketch and identify a quadric surface that could have the traces shown.

Traces in x = k

Chapter 12.6, Problem 29E, Sketch and identify a quadric surface that could have the traces shown. Traces in x = k Traces in y , example  1

Traces in y = k

Chapter 12.6, Problem 29E, Sketch and identify a quadric surface that could have the traces shown. Traces in x = k Traces in y , example  2

To determine

To sketch and identify: The given quadratic surface.

Explanation

Traces in y=k :

The traces for y=k are the circular traces, which is parallel to the xz plane. These circles are centered at origin point of the xz plane and radii of these circles are increases by decreasing the value of y.

For y=1 , the circular traces seems like a single point, which is occurs on the origin point of the xz plane. This indicates that there is no further traces in y=k for k>1 and the vertex of the curve is (x,y,z)=(0,1,0)

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Chapter 12 Solutions

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Sect-12.1 P-11ESect-12.1 P-12ESect-12.1 P-13ESect-12.1 P-14ESect-12.1 P-15ESect-12.1 P-16ESect-12.1 P-17ESect-12.1 P-18ESect-12.1 P-19ESect-12.1 P-20ESect-12.1 P-21ESect-12.1 P-22ESect-12.1 P-23ESect-12.1 P-24ESect-12.1 P-25ESect-12.1 P-26ESect-12.1 P-27ESect-12.1 P-28ESect-12.1 P-29ESect-12.1 P-30ESect-12.1 P-31ESect-12.1 P-32ESect-12.1 P-33ESect-12.1 P-34ESect-12.1 P-35ESect-12.1 P-36ESect-12.1 P-37ESect-12.1 P-38ESect-12.1 P-39ESect-12.1 P-40ESect-12.1 P-41ESect-12.1 P-42ESect-12.1 P-43ESect-12.1 P-44ESect-12.1 P-45ESect-12.1 P-46ESect-12.1 P-47ESect-12.1 P-48ESect-12.2 P-1ESect-12.2 P-2ESect-12.2 P-3ESect-12.2 P-4ESect-12.2 P-5ESect-12.2 P-6ESect-12.2 P-7ESect-12.2 P-8ESect-12.2 P-9ESect-12.2 P-10ESect-12.2 P-11ESect-12.2 P-12ESect-12.2 P-13ESect-12.2 P-14ESect-12.2 P-15ESect-12.2 P-16ESect-12.2 P-17ESect-12.2 P-18ESect-12.2 P-19ESect-12.2 P-20ESect-12.2 P-21ESect-12.2 P-22ESect-12.2 P-23ESect-12.2 P-24ESect-12.2 P-25ESect-12.2 P-26ESect-12.2 P-27ESect-12.2 P-28ESect-12.2 P-29ESect-12.2 P-30ESect-12.2 P-31ESect-12.2 P-32ESect-12.2 P-33ESect-12.2 P-34ESect-12.2 P-35ESect-12.2 P-36ESect-12.2 P-37ESect-12.2 P-38ESect-12.2 P-39ESect-12.2 P-40ESect-12.2 P-41ESect-12.2 P-42ESect-12.2 P-43ESect-12.2 P-44ESect-12.2 P-45ESect-12.2 P-46ESect-12.2 P-47ESect-12.2 P-48ESect-12.2 P-49ESect-12.2 P-50ESect-12.2 P-51ESect-12.2 P-52ESect-12.3 P-1ESect-12.3 P-2ESect-12.3 P-3ESect-12.3 P-4ESect-12.3 P-5ESect-12.3 P-6ESect-12.3 P-7ESect-12.3 P-8ESect-12.3 P-9ESect-12.3 P-10ESect-12.3 P-11ESect-12.3 P-12ESect-12.3 P-13ESect-12.3 P-14ESect-12.3 P-15ESect-12.3 P-16ESect-12.3 P-17ESect-12.3 P-18ESect-12.3 P-19ESect-12.3 P-20ESect-12.3 P-21ESect-12.3 P-22ESect-12.3 P-23ESect-12.3 P-24ESect-12.3 P-25ESect-12.3 P-26ESect-12.3 P-27ESect-12.3 P-28ESect-12.3 P-29ESect-12.3 P-30ESect-12.3 P-31ESect-12.3 P-32ESect-12.3 P-33ESect-12.3 P-34ESect-12.3 P-35ESect-12.3 P-36ESect-12.3 P-37ESect-12.3 P-38ESect-12.3 P-39ESect-12.3 P-40ESect-12.3 P-41ESect-12.3 P-42ESect-12.3 P-43ESect-12.3 P-44ESect-12.3 P-45ESect-12.3 P-46ESect-12.3 P-47ESect-12.3 P-48ESect-12.3 P-49ESect-12.3 P-50ESect-12.3 P-51ESect-12.3 P-52ESect-12.3 P-53ESect-12.3 P-54ESect-12.3 P-55ESect-12.3 P-56ESect-12.3 P-57ESect-12.3 P-58ESect-12.3 P-59ESect-12.3 P-60ESect-12.3 P-61ESect-12.3 P-62ESect-12.3 P-63ESect-12.3 P-64ESect-12.3 P-65ESect-12.4 P-1ESect-12.4 P-2ESect-12.4 P-3ESect-12.4 P-4ESect-12.4 P-5ESect-12.4 P-6ESect-12.4 P-7ESect-12.4 P-8ESect-12.4 P-9ESect-12.4 P-10ESect-12.4 P-11ESect-12.4 P-12ESect-12.4 P-13ESect-12.4 P-14ESect-12.4 P-15ESect-12.4 P-16ESect-12.4 P-17ESect-12.4 P-18ESect-12.4 P-19ESect-12.4 P-20ESect-12.4 P-21ESect-12.4 P-22ESect-12.4 P-23ESect-12.4 P-24ESect-12.4 P-25ESect-12.4 P-26ESect-12.4 P-27ESect-12.4 P-28ESect-12.4 P-29ESect-12.4 P-30ESect-12.4 P-31ESect-12.4 P-32ESect-12.4 P-33ESect-12.4 P-34ESect-12.4 P-35ESect-12.4 P-36ESect-12.4 P-37ESect-12.4 P-38ESect-12.4 P-39ESect-12.4 P-40ESect-12.4 P-41ESect-12.4 P-42ESect-12.4 P-43ESect-12.4 P-44ESect-12.4 P-45ESect-12.4 P-47ESect-12.4 P-48ESect-12.4 P-49ESect-12.4 P-50ESect-12.4 P-51ESect-12.4 P-52ESect-12.4 P-53ESect-12.4 P-54ESect-12.5 P-1ESect-12.5 P-2ESect-12.5 P-3ESect-12.5 P-4ESect-12.5 P-5ESect-12.5 P-6ESect-12.5 P-7ESect-12.5 P-8ESect-12.5 P-9ESect-12.5 P-10ESect-12.5 P-11ESect-12.5 P-12ESect-12.5 P-13ESect-12.5 P-14ESect-12.5 P-15ESect-12.5 P-16ESect-12.5 P-17ESect-12.5 P-18ESect-12.5 P-19ESect-12.5 P-20ESect-12.5 P-21ESect-12.5 P-22ESect-12.5 P-23ESect-12.5 P-24ESect-12.5 P-25ESect-12.5 P-26ESect-12.5 P-27ESect-12.5 P-28ESect-12.5 P-29ESect-12.5 P-30ESect-12.5 P-31ESect-12.5 P-32ESect-12.5 P-33ESect-12.5 P-34ESect-12.5 P-35ESect-12.5 P-36ESect-12.5 P-37ESect-12.5 P-38ESect-12.5 P-39ESect-12.5 P-40ESect-12.5 P-41ESect-12.5 P-42ESect-12.5 P-43ESect-12.5 P-44ESect-12.5 P-45ESect-12.5 P-46ESect-12.5 P-47ESect-12.5 P-48ESect-12.5 P-49ESect-12.5 P-50ESect-12.5 P-51ESect-12.5 P-52ESect-12.5 P-53ESect-12.5 P-54ESect-12.5 P-55ESect-12.5 P-56ESect-12.5 P-57ESect-12.5 P-58ESect-12.5 P-59ESect-12.5 P-60ESect-12.5 P-61ESect-12.5 P-62ESect-12.5 P-63ESect-12.5 P-64ESect-12.5 P-65ESect-12.5 P-66ESect-12.5 P-67ESect-12.5 P-68ESect-12.5 P-69ESect-12.5 P-70ESect-12.5 P-71ESect-12.5 P-72ESect-12.5 P-73ESect-12.5 P-74ESect-12.5 P-75ESect-12.5 P-76ESect-12.5 P-77ESect-12.5 P-78ESect-12.5 P-79ESect-12.5 P-80ESect-12.5 P-81ESect-12.5 P-82ESect-12.5 P-83ESect-12.6 P-1ESect-12.6 P-2ESect-12.6 P-3ESect-12.6 P-4ESect-12.6 P-5ESect-12.6 P-6ESect-12.6 P-7ESect-12.6 P-8ESect-12.6 P-9ESect-12.6 P-10ESect-12.6 P-11ESect-12.6 P-12ESect-12.6 P-13ESect-12.6 P-14ESect-12.6 P-15ESect-12.6 P-16ESect-12.6 P-17ESect-12.6 P-18ESect-12.6 P-19ESect-12.6 P-20ESect-12.6 P-21ESect-12.6 P-22ESect-12.6 P-23ESect-12.6 P-24ESect-12.6 P-25ESect-12.6 P-26ESect-12.6 P-27ESect-12.6 P-28ESect-12.6 P-29ESect-12.6 P-30ESect-12.6 P-31ESect-12.6 P-32ESect-12.6 P-33ESect-12.6 P-34ESect-12.6 P-35ESect-12.6 P-36ESect-12.6 P-37ESect-12.6 P-38ESect-12.6 P-43ESect-12.6 P-44ESect-12.6 P-45ESect-12.6 P-46ESect-12.6 P-47ESect-12.6 P-48ESect-12.6 P-49ESect-12.6 P-50ESect-12.6 P-51ESect-12.6 P-52ECh-12 P-1RCCCh-12 P-2RCCCh-12 P-3RCCCh-12 P-4RCCCh-12 P-5RCCCh-12 P-6RCCCh-12 P-7RCCCh-12 P-8RCCCh-12 P-9RCCCh-12 P-10RCCCh-12 P-11RCCCh-12 P-12RCCCh-12 P-13RCCCh-12 P-14RCCCh-12 P-15RCCCh-12 P-16RCCCh-12 P-17RCCCh-12 P-18RCCCh-12 P-19RCCCh-12 P-1RQCh-12 P-2RQCh-12 P-3RQCh-12 P-4RQCh-12 P-5RQCh-12 P-6RQCh-12 P-7RQCh-12 P-8RQCh-12 P-9RQCh-12 P-10RQCh-12 P-11RQCh-12 P-12RQCh-12 P-13RQCh-12 P-14RQCh-12 P-15RQCh-12 P-16RQCh-12 P-17RQCh-12 P-18RQCh-12 P-19RQCh-12 P-20RQCh-12 P-21RQCh-12 P-22RQCh-12 P-1RECh-12 P-2RECh-12 P-3RECh-12 P-4RECh-12 P-5RECh-12 P-6RECh-12 P-7RECh-12 P-8RECh-12 P-9RECh-12 P-10RECh-12 P-11RECh-12 P-12RECh-12 P-13RECh-12 P-14RECh-12 P-15RECh-12 P-16RECh-12 P-17RECh-12 P-18RECh-12 P-19RECh-12 P-20RECh-12 P-21RECh-12 P-22RECh-12 P-23RECh-12 P-24RECh-12 P-25RECh-12 P-26RECh-12 P-27RECh-12 P-28RECh-12 P-29RECh-12 P-30RECh-12 P-31RECh-12 P-32RECh-12 P-33RECh-12 P-34RECh-12 P-35RECh-12 P-36RECh-12 P-37RECh-12 P-38RECh-12 P-1PCh-12 P-2PCh-12 P-5P

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