pls answer (b) as wellhandwritten pls will give upvote For Items (b), label all important points such as intercepts, vertices of parabolas andhyperbolas, 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)²1|3D3(a) Find an equation for the trace of S2 on each of the planes y = -1, z = 3, z = 6, the xy-plane, and theyz-plane. Identify each trace.(b) Sketch S2 using the traces obtained in 3(a). Identify the type of quadric surface.

Given is the equation of a quadric surface S2. The objective is to find the equation of trace of S2…

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. (z – 3)² = 1 3 x2 3. Consider the quadric surface S2 : + (y + 1)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 3(a). Identify the type of quadric surface.

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. (z – 3)² = 1 3 x2 3. Consider the quadric surface S2 : + (y + 1)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 3(a). Identify the type of quadric surface.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 43E: By definition, an ellipse is the locus of points whose sum of distances from two fixed points F1 and...

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