Let F(x, y, z) = xzi+yzj + xyk, Surface S is the part of the sphere x² + y² + z² = 4 that lies inside the cylinder x² + y² = 1 and above the xy-plane. (a) Find a vector equation of the boundary curve C. (b) Compute for FdR (c) Compute for fr. F. Tds

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter4: Vector Spaces
Section4.3: Subspaces Of Vector Spaces
Problem 49E
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Let F(x, y, z) = xzi+yzj + xyk, Surface S is the part of the sphere x² + y² + z² = 4 that lies
inside the cylinder x² + y² = 1 and above the xy-plane.
Find a vector equation of the boundary curve C.
(b) Compute for FdR
(c) Compute for
C
F.Tds
Transcribed Image Text:Let F(x, y, z) = xzi+yzj + xyk, Surface S is the part of the sphere x² + y² + z² = 4 that lies inside the cylinder x² + y² = 1 and above the xy-plane. Find a vector equation of the boundary curve C. (b) Compute for FdR (c) Compute for C F.Tds
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