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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.

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.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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pls answer (b) as well, 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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