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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. (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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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pls answer (b) as well

handwritten pls 

will give upvote

 

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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