4038HW8_Su2010 - Question. Let S be the part of the plane z...

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Homework #8 to Hand In Math 4038 Summer 2010 Print Your Name: S how all work: We can give credit only for what you write! Hand in only your own work—nothing copied! Please do not convert exact answers into decimal approximations. Please write neatly so that the grader can read your work easily. You may print a copy of this Fle and write on it, or use a blank paper with your name at the top. The maximum score possible is 10.
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Unformatted text preview: Question. Let S be the part of the plane z = x that lies inside the cylinder x 2 + y 2 = 1, with upward normal , and let C be the positively oriented ellipse that is the boundary curve of S . Let F ( x, y, z ) = h z, x, y + 2 z i . Use Stokes Theorem to express H C F d r as a double integral over the surface S , and evaluate it. 1...
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