The heat flow vector field for conducting objects is F = - kVT, where T(x,y,z) is...

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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) = 50 e -x-y. S consists of the faces of the cube x <3, y <3, z <3. The outward flux is (Type an exact answer.) 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) = 50 e -x-y. S consists of the faces of the cube x <3, y <3, z <3. The outward flux is (Type an exact answer.)