Suppose is the surface generated by revolving the curve y = 4(x² - 1) about the y-axis. 1. Determine an equation of S. What type of quadric surface is S? 2. Write the equation of the trace of on each coordinate plane and identify the type of conic each equation represents. 3. Provide a hand-drawn sketch of using the traces obtained in 2. Label important points.

Suppose is the surface generated by revolving the curve y = 4(x² - 1) about the y-axis. 1. Determine an equation of S. What type of quadric surface is S? 2. Write the equation of the trace of on each coordinate plane and identify the type of conic each equation represents. 3. Provide a hand-drawn sketch of using the traces obtained in 2. Label important points.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 38E

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