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Consider the surface S₁ with equation 2²-4 = 22. a) Sketch the graph of S₁ in R³. Indicate proper rulings. b) Let C be the curve obtained from the intersection of the surface S₁ and the zz-plane. Find the equation of the surface of revolution generated by revolving C about the x-axis. c) Sketch the graph of the surface of revolution obtained in 2.b).

Consider the surface S₁ with equation 2²-4 = 22. a) Sketch the graph of S₁ in R³. Indicate proper rulings. b) Let C be the curve obtained from the intersection of the surface S₁ and the zz-plane. Find the equation of the surface of revolution generated by revolving C about the x-axis. c) Sketch the graph of the surface of revolution obtained in 2.b).

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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2. Consider the surface S₁ with equation 2²-4 = 22. a) Sketch the graph of S₁ in R³. Indicate proper rulings. b) Let C be the curve obtained from the intersection of the surface S₁ and the zz-plane. Find the equation of the surface of revolution generated by revolving C about the z-axis. c) Sketch the graph of the surface of revolution obtained in 2.b).
Transcribed Image Text:2. Consider the surface S₁ with equation 2²-4 = 22. a) Sketch the graph of S₁ in R³. Indicate proper rulings. b) Let C be the curve obtained from the intersection of the surface S₁ and the zz-plane. Find the equation of the surface of revolution generated by revolving C about the z-axis. c) Sketch the graph of the surface of revolution obtained in 2.b).
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Elaborate the graph of c (shade the rotating part)

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show graph (on A and C) manually

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