- #1
davidson89
- 8
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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 + (y^2z)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.
I am really having trouble setting up the integrals to answering these questions. If you could help me set it up and help me find the flux then much would be appreciated. If you could explain step by step to any of these questions i would be very thankful. THANKS
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.
I am really having trouble setting up the integrals to answering these questions. If you could help me set it up and help me find the flux then much would be appreciated. If you could explain step by step to any of these questions i would be very thankful. THANKS