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).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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