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Matching Equations with Surfaces In Exercises 1–12, match the equation with the surface it defines. Also, identify each surface by type (paraboloid, ellipsoid, etc.). The surfaces are labeled (a)–(1). f. 1. x² + y? + 4z? = 10 2. z? + 4y? – 4x² = 4 3. 9y² + z? = 16 4. y² + z² = x² 5. x = y? – z? 6. x = -y² – z? 7. x² + 2z? = 8 8. z? + x² – y² = 1 g. h. 9. x = z? – y² 10. z = -4x² – y? 11. x² + 4z? = y2 12. 9x? + 4y? + 2z? = 36 a. b. i. j. c. d. k. 1. `y

Matching Equations with Surfaces In Exercises 1–12, match the equation with the surface it defines. Also, identify each surface by type (paraboloid, ellipsoid, etc.). The surfaces are labeled (a)–(1). f. 1. x² + y? + 4z? = 10 2. z? + 4y? – 4x² = 4 3. 9y² + z? = 16 4. y² + z² = x² 5. x = y? – z? 6. x = -y² – z? 7. x² + 2z? = 8 8. z? + x² – y² = 1 g. h. 9. x = z? – y² 10. z = -4x² – y? 11. x² + 4z? = y2 12. 9x? + 4y? + 2z? = 36 a. b. i. j. c. d. k. 1. `y

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.3: Conics
Problem 57E
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Matching Equations with Surfaces In Exercises 1–12, match the equation with the surface it defines. Also, identify each surface by type (paraboloid, ellipsoid, etc.). The surfaces are labeled (a)–(1). f. 1. x² + y? + 4z? = 10 2. z? + 4y? – 4x² = 4 3. 9y² + z? = 16 4. y² + z² = x² 5. x = y? – z? 6. x = -y² – z? 7. x² + 2z? = 8 8. z? + x² – y² = 1 g. h. 9. x = z? – y² 10. z = -4x² – y? 11. x² + 4z? = y2 12. 9x? + 4y? + 2z? = 36 a. b. i. j. c. d. k. 1. `y
Transcribed Image Text:Matching Equations with Surfaces In Exercises 1–12, match the equation with the surface it defines. Also, identify each surface by type (paraboloid, ellipsoid, etc.). The surfaces are labeled (a)–(1). f. 1. x² + y? + 4z? = 10 2. z? + 4y? – 4x² = 4 3. 9y² + z? = 16 4. y² + z² = x² 5. x = y? – z? 6. x = -y² – z? 7. x² + 2z? = 8 8. z? + x² – y² = 1 g. h. 9. x = z? – y² 10. z = -4x² – y? 11. x² + 4z? = y2 12. 9x? + 4y? + 2z? = 36 a. b. i. j. c. d. k. 1. `y
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