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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.
- Summer '08