Divergence theorem Suppose that there is a closed surface S' within which there is a volume...

 

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Divergence theorem Suppose that there is a closed surface S' within which there is a volume V. Then for a vector field F F F-dS= = SSS divFdV (assuming that everything mentioned in the theorem actually exists) Problem Evaluate F-ds where = and S is the surface S={(x, y, z)|x+ y+z = 9} Divergence theorem Suppose that there is a closed surface S' within which there is a volume V. Then for a vector field F F F-dS= = SSS divFdV (assuming that everything mentioned in the theorem actually exists) Problem Evaluate F-ds where = and S is the surface S={(x, y, z)|x+ y+z = 9}