2 Consider the quadric surface S; + v + 1) – = 1 2 + (y + 1) %| 4 3 (a) Find an equation for the trace of S2 on each of the planes y=-1, z=3, z=6, the xy-plane,and the yz-plane. Identify each trace. (b) Sketch S2 using the traces obtained in (a). Identify the type of quadric surface.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 20E
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pls answer (b) as well

handwritten pls 

will give upvote

 

1. Consider the quadric surface S2:
+ (y + 1)? - (2–3)
1
4
(a) Find an equation for the trace of S2 on each of the planes y=-1, z=3,
z=6, the xy-plane,and the yz-plane. Identify each trace.
(b) Sketch S2 using the traces obtained in (a). Identify the type of
quadric surface.
Transcribed Image Text:1. Consider the quadric surface S2: + (y + 1)? - (2–3) 1 4 (a) Find an equation for the trace of S2 on each of the planes y=-1, z=3, z=6, the xy-plane,and the yz-plane. Identify each trace. (b) Sketch S2 using the traces obtained in (a). Identify the type of quadric surface.
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