Question: Explain carefully why Green's Theorem is a special case of Stokes' Theorem. THEOREM 1 Stokes' Theorem Let S be a surface as described earlier, and

Explain carefully why Green's Theorem is a special case of Stokes' Theorem.

THEOREM 1 Stokes' Theorem Let S be a surface as described earlier,

THEOREM 1 Stokes' Theorem Let S be a surface as described earlier, and let F be a vector field whose components have continuous partial derivatives on an open region containing S. = [[ k F.dr= curl(F). dS The integral on the left is defined relative to the boundary orientation of S. If S is a closed surface, then Ja curl(F) dS=0 1

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Greens Theorem is indeed a special case of Stokes Theorem To explain why lets first recall what each theorem states Stokes Theorem Stokes Theorem rela... View full answer

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