4038HW7_Su2010

4038HW7_Su2010 - Question. Let ∂R be the positively...

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Homework #7 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 ∂R be the positively oriented piecewise smooth surface that encloses the region R . Let r ( x, y, z ) = x i + y j + z k , the so-called position vector . a . Use the Divergence theorem to show that the volume of R is given by V ( R ) = 1 3 R ∂R r · n dA . b . Use the right side of part (a) to Fnd the volume of a sphere of radius a , given that the surface area of the sphere is 4 πa 2 . 1...
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This note was uploaded on 01/06/2012 for the course MATH 4038 taught by Professor Staff during the Summer '08 term at LSU.

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