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Give an example of a vector field (, , ) that has value 0 on a surface and such that curl F is nonzero everywhere.
Give an example of a vector field (, , ) that has value 0 on a surface and such that curl F
is nonzero everywhere. Be sure to identify the surface and compute the curl.
(b)Among all the rectangular regions
0 , 0 ,
find the one for which the total outward flux of
=( 2 + 4) 6
across the four sides is least. What is the least flux.
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