Let S be the quadric with equation 22 - 9y² = x. a. Write the equations of the traces of S on the xy and zz-planes and on the planes x = 9 and x = -9. For each trace, identify the conic that it represents. b. What type of quadric is S? Sketch the surface S with emphasis on the traces on the planes given in item 2(a) above. Label important points.
Let S be the quadric with equation 22 - 9y² = x. a. Write the equations of the traces of S on the xy and zz-planes and on the planes x = 9 and x = -9. For each trace, identify the conic that it represents. b. What type of quadric is S? Sketch the surface S with emphasis on the traces on the planes given in item 2(a) above. Label important points.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 34E
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![2. Let S be the quadric with equation 2² - 9y² = x.
a. Write the equations of the traces of S on the xy and xz-planes and on the planes x = 9 and x = -9.
For each trace, identify the conic that it represents.
b. What type of quadric is S? Sketch the surface S with emphasis on the traces on the planes given in
item 2(a) above. Label important points.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F498f8959-9b23-405c-ba0e-9300b89e04ce%2Ff3eef2d5-b9c9-418f-9d6f-d0b4c4dc8cc7%2F9l3tibp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Let S be the quadric with equation 2² - 9y² = x.
a. Write the equations of the traces of S on the xy and xz-planes and on the planes x = 9 and x = -9.
For each trace, identify the conic that it represents.
b. What type of quadric is S? Sketch the surface S with emphasis on the traces on the planes given in
item 2(a) above. Label important points.
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