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Parametrize the following two curves in R3 and find their arclength. (1) the intersection of the cylinder r + y? =1 and the plane r+y+z = 1; (2) the intersection of the sphere x2 + y? + z2 = 1 and the plane r+y+z = 1. %3D

Parametrize the following two curves in R3 and find their arclength. (1) the intersection of the cylinder r + y? =1 and the plane r+y+z = 1; (2) the intersection of the sphere x2 + y? + z2 = 1 and the plane r+y+z = 1. %3D

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Parametrize the following two curves in R3 and find their arclength. (1) the intersection of the cylinder r + y? = 1 and the plane x+y+z = 13; %3D (2) the intersection of the sphere x? + y? + z² = 1 and the plane r+y+ z =1.
Transcribed Image Text:Parametrize the following two curves in R3 and find their arclength. (1) the intersection of the cylinder r + y? = 1 and the plane x+y+z = 13; %3D (2) the intersection of the sphere x? + y? + z² = 1 and the plane r+y+ z =1.
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