12. Let C represent the curve of intersection between the cylinder x² + y? = 4 and the plane z = 10 – x oriented counter-clockwise as seenfrom above. Write down a parametrization for curve C.

The plane z=10-x will cut the cylinder x2+y2=4 to give an ellipse.

Answered: 12. Let C represent the curve of…

12. Let C represent the curve of intersection between the cylinder x² + y² = 4 and the plane z = 10 – x oriented counter-clockwise as seen rom above. Write down a parametrization for curve C.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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12. Let C represent the curve of intersection between the cylinder x² + y? = 4 and the plane z = 10 – x oriented counter-clockwise as seen
from above. Write down a parametrization for curve C.

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