Unformatted text preview: Z 2 Z 3x x/ 2 ( x + y ) dydx = Z 2 ( xy + y 2 2 )  3x x/ 2 dx = Z 2 ( 9 29 x 2 8 ) dx = ( 9 x 23 x 3 8 )  2 = 6 . (2) 3. Evaluate the triple integral RRR E 2 xdV where E = { ( x,y,z )  ≤ y ≤ 2 , ≤ x ≤ p 4y 2 , ≤ z ≤ y } . (3 points) Solution . According to the bounds of E , we know the triple integral is ZZZ E 2 xdV = Z 2 Z √ 4y 2 Z y 2 xdzdxdy = Z 2 ( Z √ 4y 2 2 xdx )( Z y dz ) dy = Z 2 (4y 2 ) ydy = (2 y 2y 4 4 )  2 = 4 . (3)...
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 Spring '08
 Keeran
 Calculus, Geometry, Polar Coordinates, Coordinate system, Spherical coordinate system, Polar coordinate system, e−x −y dA, Solution. According

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