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12. Let C be the curve of the intersection of the cylinder x² + y² = 4 and the plane x+y+z= 1. Parametrize the curve and set an integral that calculates the length of C. (Don't evaluate the integral)

12. Let C be the curve of the intersection of the cylinder x² + y² = 4 and the plane x+y+z= 1. Parametrize the curve and set an integral that calculates the length of C. (Don't evaluate the integral)

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 40E: For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b...
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12. Let C be the curve of the intersection of the cylinder x² + y² = 4 and the plane x+y+z= 1. Parametrize the curve and set an integral that calculates the length of C. (Don't evaluate the integral)
Transcribed Image Text:12. Let C be the curve of the intersection of the cylinder x² + y² = 4 and the plane x+y+z= 1. Parametrize the curve and set an integral that calculates the length of C. (Don't evaluate the integral)
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