Identify the quadric surface satisfying each of the given equations and then make a rough sketch to show its position and orientation. (a) y - x² + z² (b) 9x² + y² + 4z² 18x + 2y + 16z (c) z² 4x² + y² + 8x - 2y + 4z = = 3 = 10

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 28E
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Identify the quadric surface satisfying each of the given equations and then make a
rough sketch to show its position and orientation.
(a) y – x² + z² = 3
|
(b) 9x2 + y? + 422 – 18x + 2y + 16z = 10
(c) z² = 4x² + y² + 8x – 2y + 4z
-
Transcribed Image Text:Identify the quadric surface satisfying each of the given equations and then make a rough sketch to show its position and orientation. (a) y – x² + z² = 3 | (b) 9x2 + y? + 422 – 18x + 2y + 16z = 10 (c) z² = 4x² + y² + 8x – 2y + 4z -
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