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c) Use Stoke's theorem to evaluate SF o dr where F(x,y,z) = x²zi + xy²j + z²k and C is C the curve of intersection of the plane x+y+z=1 and the cylinder x² + y² = 9 oriented counterclockwise as viewed from above

c) Use Stoke's theorem to evaluate SF o dr where F(x,y,z) = x²zi + xy²j + z²k and C is C the curve of intersection of the plane x+y+z=1 and the cylinder x² + y² = 9 oriented counterclockwise as viewed from above

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 19EQ
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c) Use Stoke's theorem to evaluate F o dr where F(x,y,z) = x²z į + xy²j + z²k and C is the curve of intersection of the plane x+y+z=1 and the cylinder x² + y² = 9 oriented counterclockwise as viewed from above
Transcribed Image Text:c) Use Stoke's theorem to evaluate F o dr where F(x,y,z) = x²z į + xy²j + z²k and C is the curve of intersection of the plane x+y+z=1 and the cylinder x² + y² = 9 oriented counterclockwise as viewed from above
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