Calculate the flux of the vector field F = (z, x, y) through the surface S which is the portion of the plane given by the equation 3x+y+z= 15 that lies in the first octant (where x, y, z 20). Suppose S is oriented upward (away from the origin). JJ F-n dA S =

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A: Introduction: The flux of the vector field F is given by the formula, ∮CF.ndS=∫∫∫div(F)dA

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