Let S be the surface with equation (z −4)² = 4x² + 4y². 1. Find an equation of each trace of S on the coordinate planes and on the planes z = 4 and z = 8, then identify each trace. 2. Identify the type of quadric surface for S. 3. Provide a hand-drawn sketch of S using the traces obtained in (VII.1). Label all important points found on each trace.

Let S be the surface with equation (z −4)² = 4x² + 4y². 1. Find an equation of each trace of S on the coordinate planes and on the planes z = 4 and z = 8, then identify each trace. 2. Identify the type of quadric surface for S. 3. Provide a hand-drawn sketch of S using the traces obtained in (VII.1). Label all important points found on each trace.

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 33E

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