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Geometric Interpretations of Equations In Exercises 1-16, give a geometric description of the set of points in space whose coordinates satisfy the given pairs of equations. 1. x = 2, y = 3 2. x = -1, z = 0 3. y = 0, z = 0 5. x² + y² = 4, z = 0 7. x² + z² = 4, y = 0 9. x² + y² + z² = 1, x = 0 10. x² + y² + z² = 25, y = 11. x² + y² + (z + 3)² = 25, = -4 4. x = 1, y = 0 6. x² + y² = 4, 8. y² + z² = 1, 1, z = 0 12. x² + (y − 1)² + z² = 4, y = 0 - 13. x² + y² = 4, z = y 14. x² + y² + z²2² = 4, y = x 15. y = x², z = 0 16. z = y², x = 1 z = -2 x = 0

Geometric Interpretations of Equations In Exercises 1-16, give a geometric description of the set of points in space whose coordinates satisfy the given pairs of equations. 1. x = 2, y = 3 2. x = -1, z = 0 3. y = 0, z = 0 5. x² + y² = 4, z = 0 7. x² + z² = 4, y = 0 9. x² + y² + z² = 1, x = 0 10. x² + y² + z² = 25, y = 11. x² + y² + (z + 3)² = 25, = -4 4. x = 1, y = 0 6. x² + y² = 4, 8. y² + z² = 1, 1, z = 0 12. x² + (y − 1)² + z² = 4, y = 0 - 13. x² + y² = 4, z = y 14. x² + y² + z²2² = 4, y = x 15. y = x², z = 0 16. z = y², x = 1 z = -2 x = 0

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: The Rectangular Coordinate System And Graphs
Problem 56E
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Please do question 13 only. 

Geometric Interpretations of Equations In Exercises 1-16, give a geometric description of the set of points in space whose coordinates satisfy the given pairs of equations. 1. x = 2, y = 3 2. x = -1, z = 0 3. y = 0, z = 0 4. x = 1, y = 0 6. x² + y² = 4, 5. x² + y² = 4, z = 0 7. x² + z² = 4, y = 0 9. x² + y² + z² = 1, x = 0 10. x² + y² + z² = 25, y = 11. x² + y² + (z + 3)² = 25, z = 0 12. x² + (y − 1)² + z² = 4, y = 0 13. x² + y² = 4, z = y 14. x² + y² + z²2² = 4, y = x z = 0 15. y = x², 16. z = y², x = 1 = -4 8. y² + z² = 1, 1, z = -2 x = 0
Transcribed Image Text:Geometric Interpretations of Equations In Exercises 1-16, give a geometric description of the set of points in space whose coordinates satisfy the given pairs of equations. 1. x = 2, y = 3 2. x = -1, z = 0 3. y = 0, z = 0 4. x = 1, y = 0 6. x² + y² = 4, 5. x² + y² = 4, z = 0 7. x² + z² = 4, y = 0 9. x² + y² + z² = 1, x = 0 10. x² + y² + z² = 25, y = 11. x² + y² + (z + 3)² = 25, z = 0 12. x² + (y − 1)² + z² = 4, y = 0 13. x² + y² = 4, z = y 14. x² + y² + z²2² = 4, y = x z = 0 15. y = x², 16. z = y², x = 1 = -4 8. y² + z² = 1, 1, z = -2 x = 0
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