Classify the quadric surface. x² + x² +2²= = 1 ellipsoid O hyperboloid of two sheets O hyperbolic paraboloid O elliptic cone O hyperboloid of one sheet Sketch the quadric surface. Use a computer algebra system to confirm your sketch. 15 10 10+ -15T 15 20 25

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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Classify the quadric surface.
2
x² + y² + z² = 1
4
ellipsoid
hyperboloid of two sheets.
hyperbolic paraboloid
elliptic cone
O hyperboloid of one sheet
Sketch the quadric surface. Use a computer algebra system to confirm your sketch.
2
-24
2
15. 10
10+
5+
-15T
15 20 25
-y
Transcribed Image Text:Classify the quadric surface. 2 x² + y² + z² = 1 4 ellipsoid hyperboloid of two sheets. hyperbolic paraboloid elliptic cone O hyperboloid of one sheet Sketch the quadric surface. Use a computer algebra system to confirm your sketch. 2 -24 2 15. 10 10+ 5+ -15T 15 20 25 -y
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