10. Verify Stokes' Theorem, fF.dr=ffcurl(F) ds, for the vector field F= (z, 2x, 2y) and the surface S, that is inside the cylinder x² + y² =1. Assume a positive orientation. C where S is the portion of the surface z = e

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Chapter2: Second-order Linear Odes
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10. Verify Stokes' Theorem,
C
dr=ff curl(F) d S, for the vector field F = (z, 2x, 2y) and the surface S,
that is inside the cylinder x² + y² =1. Assume a positive orientation.
where S is the portion of the surface = = e
the statement.
Note: You are required to compute both sides of the equation fF.dr=ff curl(F) d S, and verify the equality of
Transcribed Image Text:10. Verify Stokes' Theorem, C dr=ff curl(F) d S, for the vector field F = (z, 2x, 2y) and the surface S, that is inside the cylinder x² + y² =1. Assume a positive orientation. where S is the portion of the surface = = e the statement. Note: You are required to compute both sides of the equation fF.dr=ff curl(F) d S, and verify the equality of
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