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For each of the following surfaces, sketch their xz-,yz-, and xy-traces and then sketch the whole surface. (a) 4x² + y² - z² = 1 (b) x² + y² = ₂² (c) x² + ¹² +²²² = 1

For each of the following surfaces, sketch their xz-,yz-, and xy-traces and then sketch the whole surface. (a) 4x² + y² - z² = 1 (b) x² + y² = ₂² (c) x² + ¹² +²²² = 1

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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For each of the following surfaces, sketch their xz-,yz-, and xy-traces and then sketch the whole surface. (a) 4x² + y² − z² (b) x² + ¹²: (c) x² +²²³ +²²2² = 1 22 = = 2 1
Transcribed Image Text:For each of the following surfaces, sketch their xz-,yz-, and xy-traces and then sketch the whole surface. (a) 4x² + y² − z² (b) x² + ¹²: (c) x² +²²³ +²²2² = 1 22 = = 2 1
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