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Unformatted text preview: of dzdydx x y x 2 2 2 3 9 3 3 +âˆ« âˆ« âˆ« cylindrical coordinates. Do not evaluate. 6) (6) (a) Set up but do not evaluate, where E lies under the plane and dV E âˆ«âˆ«âˆ« z y = 1 above the region in the xyplane bounded by the curves , , and . y x = x = y = 1 (6) (b) Calculate the volume of the region E in part (a). (12) 7) Use the transformation , to set up (do not evaluate) in u x y = + v y x = xydA R âˆ«âˆ« the uvcoordinate system where R is the square with vertices , , and . ( , ) 0 0 ( , ) 11 ( , ) 2 0 ( , ) 1 1(12) 8) Describe the region whose area is given by the integral . rdrd q q p 1 2 3 cos âˆ« âˆ«...
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 Winter '08
 BRIGHAM
 Integrals, density function, cylindrical coordinates, Iterated Integrals, coordinate axes, ____________________________ Section

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