Consider the equation below. 4x - y² + 4z² = 0 Reduce the equation to one of the standard forms. Classify the surface. O ellipsoid O elliptic paraboloid O hyperbolic paraboloid cone O hyperboloid of one sheet O hyperboloid of two sheets Sketch the surface.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 25RE
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O
-20
y
-20
20
-20
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-20
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Transcribed Image Text:O -20 y -20 20 -20 20 -20 20 -20 20 20
Consider the equation below.
4x - y² + 4z² = 0
Reduce the equation to one of the standard forms.
Classify the surface.
O ellipsoid
O elliptic paraboloid
O hyperbolic paraboloid
O cone
O hyperboloid of one sheet
O hyperboloid of two sheets
Sketch the surface.
X
-20
20
20
20
Z
20
20
X
-20
-20
Z
20
0
-20
20
20
Transcribed Image Text:Consider the equation below. 4x - y² + 4z² = 0 Reduce the equation to one of the standard forms. Classify the surface. O ellipsoid O elliptic paraboloid O hyperbolic paraboloid O cone O hyperboloid of one sheet O hyperboloid of two sheets Sketch the surface. X -20 20 20 20 Z 20 20 X -20 -20 Z 20 0 -20 20 20
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