The equation r = 2 sin(0) in cylindrical coordinates describes a surface. Convert this equation to Cartesian coordinates and describe the surface. (Hint: try multiplying both sides of this equation by r.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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The equation r = 2 sin(0) in cylindrical coordinates describes a surface. Convert this equation to Cartesian
coordinates and describe the surface. (Hint: try multiplying both sides of this equation by r.)
Find the cylindrical equation for the ellipsoid 4r² + 4y² + z² = 1.
Find the spherical equation for the hyperboloid of two sheets r² – y² – 2² = 1.
Transcribed Image Text:The equation r = 2 sin(0) in cylindrical coordinates describes a surface. Convert this equation to Cartesian coordinates and describe the surface. (Hint: try multiplying both sides of this equation by r.) Find the cylindrical equation for the ellipsoid 4r² + 4y² + z² = 1. Find the spherical equation for the hyperboloid of two sheets r² – y² – 2² = 1.
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