Let S be the surface formed by the points (x, y, z) € R³ such { It is a cone whose section is an ellipse. Question 3 that +²=₂² 0 <=<6. 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 {*, 36 ? + 2=6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 24E
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Answer 3 parts only

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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