Parametrize the following two curves in R3 and find their arclength. (1) the intersection of the cylinder r2+y? = 1 and the plane r+y+ z = 1; (2) the intersection of the sphere x? + y + z2 = 1 and the plane r+y+z = 1. %3D

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
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Chapter11: Topics From Analytic Geometry
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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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