c) Use Stokes' theorem to evaluate where F(x, y, z) = (x²+y²z) i+(x²+xy²) j+(x²+z²) k, and C is closed curve which is the boundary of open surface o given y = √1-² that lies between z = 0 and z = 4 with positive orientation.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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c) Use Stokes' theorem to evaluate
fF.
F. dr,
where F(x, y, z) = (x²+y²z) i+(x²+xy²) j+(x²+z²) k, and C' is closed
curve which is the boundary of open surface o given y = √1-2² that
lies between z = 0 and z= 4 with positive orientation.
Transcribed Image Text:c) Use Stokes' theorem to evaluate fF. F. dr, where F(x, y, z) = (x²+y²z) i+(x²+xy²) j+(x²+z²) k, and C' is closed curve which is the boundary of open surface o given y = √1-2² that lies between z = 0 and z= 4 with positive orientation.
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