Given 3x^2 +6y^2-z^2 = 36. Find and sketch each of the traces.   a) 3x^2 +6y^2-z^2 = 36 in the xy plane and find three traces. b) 3x^2 +6y^2-z^2 = 36 in the yz plane and find three traces. c)3x^2 +6y^2-z^2 = 36 in the xz plane and find three traces.

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter1: Line And Angle Relationships
Section1.6: Relationships: Perpendicular Lines
Problem 27E
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Given 3x^2 +6y^2-z^2 = 36. Find and sketch each of the traces.

 

a) 3x^2 +6y^2-z^2 = 36 in the xy plane and find three traces.

b) 3x^2 +6y^2-z^2 = 36 in the yz plane and find three traces.

c)3x^2 +6y^2-z^2 = 36 in the xz plane and find three traces.

d) what is the quadric surface is represented by 3x^2 +6y^2-z^2 = 36

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