100hw6 - Math 100 Homework 6 fall 2010 due 26/11 1. (14.5,...

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Math 100 Homework 6 fall 2010 due 26/11 1. (14.5, 10) Let G be the solid enclosed by the plane z = y , the xy -plane, and the parabolic cylinder y = 4 - x 2 . Evaluate the triple integral Z G ydV 2. (14.5, 20b) Let G be the solid enclosed by the surfaces deFned by z = 3 x 2 + y 2 and z = 8 - x 2 - y 2 . ±ill in the missing limits: Z G f ( x, y, z ) dV = Z ± ± Z ± ± Z ± ± f ( x, y, z ) dzdxdy. 3. (15.1, 24) ±ind ∇· ( F × G ) if F ( x, y, z ) = ( yz, xz, xy ) G ( x, y, z ) = ( xy, xyz, 0) . 4. (15.2, 30a) Evaluate Z C ydx - xdy along the triangle with vertices (0 , 0), (1 , 1), (2 , 0) in the clockwise sense. 5. (15.2, 52) A farmer weighing 150 lb carries a sack of grain wweighing 20 lb up a circular helical staircase around a silo of radius 25 ft. As the farmer
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This note was uploaded on 12/25/2011 for the course MATH 101 taught by Professor Ching during the Spring '11 term at HKU.

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