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**davidson89** 1) Let S be the first-octant portion of the paraboloid z= x^2 + y^2 that is cut off by the plane z=4. If F(x,y,z)=(x^2+z)i + (zy^2)j + (x^2 + y^2 + z)k, find the flux of F through S

2) Let S be the surface of the region bounded by the coordinate planes and the planes x + 2z = 4 and y = 2. Use the Divergence Theorem to the flux of F(x,y,z) = (2xz)i + (xyz)j + (yz)k through S

3) Let S be the first octant portion of the plane x+y+z =1. Verify Stokes' Theorem for the vector field F=y^2i + z^2j + x^2k

If you could show your work on how to do these much would be appreciated. Thank you