enupomS UI Che IlmaJur anu Uf elmpses, anu apolnts Of traces. Consider the quadric surface S2 : 4 + (y + 1) . (z – 3)² = 1 (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.

Calculus: Early Transcendentals
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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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For Items (b), label all important points such as intercepts, vertices of parabolas and
hyperbolas, endpoints of the major and minor axes of ellipses, and endpoints of traces.
3. Consider the quadric surface S2 :
4
+ (y + 1)2.
(z – 3)²
1
|3D
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 3(a). Identify the type of quadric surface.
Transcribed Image Text:For Items (b), label all important points such as intercepts, vertices of parabolas and hyperbolas, endpoints of the major and minor axes of ellipses, and endpoints of traces. 3. Consider the quadric surface S2 : 4 + (y + 1)2. (z – 3)² 1 |3D 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 3(a). Identify the type of quadric surface.
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