The heat flow vector field for conducting objects is F= -kVT, where T(x,y,z) is the temperature in the object and k is a constant that depends on the material. Compute the outward flux of F across the surface S for the given temperature distribution. Assume k = 1. T(x,y,z) = 50e-x-Y; S consists of the faces of the cube |x|≤3, y ≤3, |z|≤3. The outward flux is (Type an exact answer.)

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