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Question 3 that Let S be the surface formed by the points (x, y, z) € R³ such € + ¢ = z² 0 <=<6. It is a cone whose section is an ellipse. Sketch the surface S. Give a parametrization of S. Indicate the orientation of S induced by your parametrization. What is the induced orientation on the ellipse {₁ +=36 z=6

Question 3 that Let S be the surface formed by the points (x, y, z) € R³ such € + ¢ = z² 0 <=<6. It is a cone whose section is an ellipse. Sketch the surface S. Give a parametrization of S. Indicate the orientation of S induced by your parametrization. What is the induced orientation on the ellipse {₁ +=36 z=6

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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Question 3 that Let S be the surface formed by the points (x, y, z) € R³ such 2+² = 2² 0 < z < 6. It is a cone whose section is an ellipse. Sketch the surface S. Give a parametrization of S. Indicate the orientation of S induced by your parametrization. What is the induced orientation on the ellipse +2 = 36 2=6 ?
Transcribed Image Text:Question 3 that Let S be the surface formed by the points (x, y, z) € R³ such 2+² = 2² 0 < z < 6. It is a cone whose section is an ellipse. Sketch the surface S. Give a parametrization of S. Indicate the orientation of S induced by your parametrization. What is the induced orientation on the ellipse +2 = 36 2=6 ?
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