pls answer (b) as well, will give upvote 1. Consider the quadric surface S2:+ (y + 1)? - (2–3)14(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 ofquadric surface.

We have to solve above problem as per given conditions.

Answered: 1. Consider the quadric surface S; + v…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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1. Consider the quadric surface S; + v + 1)² – = 1 + (y + 1) - (z-3)² 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.