Sketch the surfaces of the following: Ellipsoids: 4x2 + 4y2 + z2 = 16 Paraboloids and Cones: z = 8 - x2 - y2 Hyperboloids: y2 + z2 - x2 = 1

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 37E
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Sketch the surfaces of the following:

  1. Ellipsoids:  4x2 + 4y2 + z2 = 16
  2. Paraboloids and Cones: z = 8 - x2 - y2
  3. Hyperboloids: y2 + z2 - x2 = 1
  4. Hyperbolic Paraboloids: x2 - y2 = z
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