Question: Use the divergence theorem to calculate the given integrals.(a)Svec(F)*dvec(S) where vec(F)=(:x,2y,z:) and S is the boundary of the tetrahedron formed by the planes xyz=1,z=0,y=0, and
Use the divergence theorem to calculate the given integrals.(a)Svec(F)*dvec(S) where vec(F)=(:x,2y,z:) and S is the boundary of the tetrahedron formed by the planes xyz=1,z=0,y=0, and x=0(b)Svec(F)*dvec(S) where vec(F)=(:x,y,z:) and S is the surface of the region bounded by the paraboloid z=4-x2-y2 and the plane z=0.
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