Let F =< xyz, xy, x²yz >. Use Stokes' Theorem to evaluate where [[cur J curl F.dS,
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Let F =< xyz, xy, x²yz >.
Use Stokes' Theorem to evaluate
where
81x
2
S consists of the top and the four sides (but not the
bottom) of the cube with one corner at (-5,-5,-5) and the
diagonal corner at (4,4,4).
81
2
If cur
S
curl F. ds
curl F.dS,
x syntax incomplete.
Hint: Use the fact that if S₁ and S₂ share the same
boundary curve C that
SS.
= 1.F
F.dr
=
11
curlFdS](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa1eb9583-341c-441a-92df-71697ebf844e%2Fabc7f3ef-d4fd-4cb6-946c-497ce781902e%2Febeesm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let F =< xyz, xy, x²yz >.
Use Stokes' Theorem to evaluate
where
81x
2
S consists of the top and the four sides (but not the
bottom) of the cube with one corner at (-5,-5,-5) and the
diagonal corner at (4,4,4).
81
2
If cur
S
curl F. ds
curl F.dS,
x syntax incomplete.
Hint: Use the fact that if S₁ and S₂ share the same
boundary curve C that
SS.
= 1.F
F.dr
=
11
curlFdS
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