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In Exercises 1-12, sketch the graph described by the following cylin- drical coordinates in three-dimensional space. 1. r = 2 2.0 = T 4

In Exercises 1-12, sketch the graph described by the following cylin- drical coordinates in three-dimensional space. 1. r = 2 2.0 = T 4

Algebra & Trigonometry with Analytic Geometry
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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In Exercises 1-12, sketch the graph described by the following cylin- drical coordinates in three-dimensional space. 1. r = 2 3. z = -1 5. r = 0 7. r² + z² = 4 9. r ≤ z ≤ V9 - p² 10. 0≤ r ≤ 2 sin 0, 11. 0≤ r ≤ 4 cos 0, 12. 0 ≤ r ≤ 3, TT 2 2.0 0≤ 0 ≤ 1 ≤z≤3 = 4. z = r 6. zr sin 0 TT 4 8. 1 ≤ r ≤ 2, 0≤0 ≤ T 2' 0 ≤z ≤ 5 <O< 7, 0≤ z ≤r cos 0 TT 3
Transcribed Image Text:In Exercises 1-12, sketch the graph described by the following cylin- drical coordinates in three-dimensional space. 1. r = 2 3. z = -1 5. r = 0 7. r² + z² = 4 9. r ≤ z ≤ V9 - p² 10. 0≤ r ≤ 2 sin 0, 11. 0≤ r ≤ 4 cos 0, 12. 0 ≤ r ≤ 3, TT 2 2.0 0≤ 0 ≤ 1 ≤z≤3 = 4. z = r 6. zr sin 0 TT 4 8. 1 ≤ r ≤ 2, 0≤0 ≤ T 2' 0 ≤z ≤ 5 <O< 7, 0≤ z ≤r cos 0 TT 3
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