Use the Divergence Theorem to calculate the surface integral S F ds; that is, calculate
Question:
Use the Divergence Theorem to calculate the surface integral ∫∫S F · ds; that is, calculate the flux of F across S.
F(x, y, z) = ex sin yi + ex cos yj + yz2k, S is the surface of the box bounded by the planes x = 0, x = 1, y = 0, y = 1, z = 0, and z = 2
Data from the Divergence Theorem
Let E be a simple solid region and let S be the boundary surface of E, given with positive (outward) orientation. Let F be a vector field whose component functions have continuous partial derivatives on an open region that contains E. Then
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