Question: Problem V Consider a region D in R ^ ( 3 ) and a vector field F on De _ ( 1 ) , e

Problem V Consider a region D in R^(3) and a vector field F on De_(1),e_(2),e_(3) is the standard basis for {:R^(3)).
(i) Find the curl and the divergence of F.
(ii) Orient the boundary delD with outward normals and evaluate the surface integral
_(delD)F*dS.
D={(x,y,z)|0=x=2,1=y=3,0=z=2},F(x,y,z)=2xze_(1)+e^(x+y)e_(2)+z^(3)e_(3).
D={(x,y,z)|1=x=3,0=y=2,0=z=2},F(x,y,z)=2xze_(1)+e^(x+y)e_(2)+z^(3)e_(3).Would appreciate if you can do 82 and 83 for me please. Will upvote if you can do math correctly!
Problem V Consider a region D in R^(3) and a vector field F on De_(1),e_(2),e_(3) is the standard basis for R^(3) F.
(ii) Orient the boundary delD with outward normals and evaluate the surface integral
_(delD)F*dS.
D={(x,y,z)|0=x=2,1=y=3,0=z=2},F(x,y,z)=2xze_(1)+e^(x+y)e_(2)+z^(3)e_(3).
D={(x,y,z)|1=x=3,0=y=2,0=z=2},F(x,y,z)=2xze_(1)+e^(x+y)e_(2)+z^(3)e_(3).
D={(x,y,z)|0=x=2,0=y=2,1=z=2},F(x,y,z)=2xye_(1)+y^(2)e_(2)-ze^(x+y)e_(3).
Problem V Consider a region D in R ^ ( 3 ) and a

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