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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
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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