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Unformatted text preview: R be the projection of S onto the xyplane. Describe R , in terms of x and y . (b) Suppose that a thin plate in the shape of S has density ( x + y + z ) at each point ( x, y, z ). Find the mass of the plate. (Mass = ii S ( x + y + z ) dS .) 6. (a) Describe the surface S dened by: x = 3 cos , y = 3 sin , z = t , for : / 2 / 2 and t : 0 1. (b) Evaluate ii S xyz dS where S is the surface in part (a). 7. Prove that ( F ) = F + F where = ( x, y, z ) and F is a vector eld in R 3 . Copyright c c 2012 The University of Sydney...
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 Three '09
 NOTSURE
 Statistics, Vector Calculus

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