Exercise 11.3 Calculate the circulation fe (rot F, do) of the vector field F(x, y, z)=(x,z+y.x+y+z) i) directly and ii) using Stokes's theorem. Here S is the surface given by z² + y² +22=1, 220, and do- N do, where N is the normal vector pointing in positive 2-direction.

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Exercise 11.3
Calculate the circulation J, (rot F. do) of the vector field F(r.y, z)= (r.1+y₁+y+z)
i) directly and
ii) using Stokes's theorem.
Here S is the surface given by x² + y² +22= 1,20, and do N do, where N is the normal vector pointing
in positive z-direction.
Transcribed Image Text:Exercise 11.3 Calculate the circulation J, (rot F. do) of the vector field F(r.y, z)= (r.1+y₁+y+z) i) directly and ii) using Stokes's theorem. Here S is the surface given by x² + y² +22= 1,20, and do N do, where N is the normal vector pointing in positive z-direction.
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