Find the DOWNWARD flux of F = ãx, y,z) across the plane z = 2 over the region D={(x,y)|0<=x<=1,0<=y<=1}
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find the flux of F across the region s where F = <y, -x , 8>, s is a sphere x^2 + y^2 = 4, and above xy plane enclosed by the circle x^2 + y^2 = 4
Compute the exact value of the flux of the vector field F(x,y,z) = [-3*x*z, 0, x*y] through the surface S that is the portion of the paraboloid z = x^2 + y^2 with x and y in the ranges 4 <= x <= 5 and 2 <= y <= 5, and where S is oriented in the direction of the "negative z-axis".