3. Find an equation for the surface obtained by rotating (a) the ellipse x² + 4y² = 4, z = 0, about the x-axis (b) the hyperbola x² - y² = 1, z = 0, about the y-axis (c) the line y = 4z, x = 0 about the z-axis. Specify the name of each of the obtained surface.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 25RE
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3. Find an equation for the surface obtained by rotating
(a) the ellipse x² + 4y² = 4, z = 0, about the x-axis
(b) the hyperbola x² - y² = 1, z = 0, about the y-axis
(c) the line y = 4z, x = 0 about the z-axis. Specify the name of each of the obtained surface.
Transcribed Image Text:3. Find an equation for the surface obtained by rotating (a) the ellipse x² + 4y² = 4, z = 0, about the x-axis (b) the hyperbola x² - y² = 1, z = 0, about the y-axis (c) the line y = 4z, x = 0 about the z-axis. Specify the name of each of the obtained surface.
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