Compute (VxF). dS, where S is given by x² + y² + (z − 1)² = 2 and z ≥ 0, F(x, y, z) = (-esinzy, x + sin z, cos x) and the normal vector is pointing outside the sphere, using Stokes' Theorem. and

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Compute fS-(V × F) - dS, where S is given by r² + y²+(z – 1)² = 2 and z > 0,
and
F(x, y, z) = (-e*in =y, x + sin z, cos x)
%3D
COS
and the normal vector is pointing outside the sphere, using Stokes' Theorem.
Transcribed Image Text:1. Compute fS-(V × F) - dS, where S is given by r² + y²+(z – 1)² = 2 and z > 0, and F(x, y, z) = (-e*in =y, x + sin z, cos x) %3D COS and the normal vector is pointing outside the sphere, using Stokes' Theorem.
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