1. Consider the Surface S₁ with equation x² – 4 = 2z • Draw and sketch the graph of S₁ in R³. Indicate proper ruling. • Let C be the curve obtained from the intersection of the surface S₁ and the xz-plane. Determine the equation of the surface of revolution generated by revolving C about the x-axis. And lastly, sketch the graph of the surface of revolution obtained.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter2: Analytic Trigonometry
Section2.3: Solving Trigonometric Equations
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1. Consider the Surface S₁ with equation x² - 4 = 2z
• Draw and sketch the graph of S₁ in R³. Indicate
proper ruling.
• Let C be the curve obtained from the intersection of the
surface S₁ and the xz-plane. Determine the equation of the
surface of revolution generated by revolving C about the
x-axis. And lastly, sketch the graph of the surface of
revolution obtained.
Transcribed Image Text:1. Consider the Surface S₁ with equation x² - 4 = 2z • Draw and sketch the graph of S₁ in R³. Indicate proper ruling. • Let C be the curve obtained from the intersection of the surface S₁ and the xz-plane. Determine the equation of the surface of revolution generated by revolving C about the x-axis. And lastly, sketch the graph of the surface of revolution obtained.
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