m264508..(2)

m264508..(2) - Nurul Hanim Hashim WeBWorK assignment 3 due...

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Unformatted text preview: Nurul Hanim Hashim WeBWorK assignment 3 due 5/23/08 at 11:59 PM. MATH264 May 2008 Prepared by the WeBWorK group, Dept. of Mathematics, University of Rochester, c UR  ¡ ¤ ¡ ¡ x2 3.(2 pts) Find the surface area of the part of the sphere y2 z2 1 that lies above the cone z x2 y2 5.(2 pts) Let S be the part of the plane 3x 2y z 2 which lies in the first octant, oriented upward. Find the flux of the vector field F 3i 4j 1k across the surface S. 1 ¡ ¡ ¡ ¡ ¨ ¨¦ ¨ ¨ coid: r u v 5π u cos v i u sin v j vk, with 0 ¡§¥ ¤ ¡§¥ S 1 ¡ ¡ 2.(2 pts) Evaluate x2 y2 dS where S is the heliu 10 v z2 ¡ 4.(2 pts) A fluid has density 5 and velocity field v xj 1zk. Find the rate of flow outward through the sphere x2 y2 25 ¡¡ ©  ¡ 1.(2 pts) Find the surface area of the part of the circular paraboloid z x2 y2 that lies inside the cylinder x2 y2 1. yi ¡ ¢ £¢ ¡ § ¦ ¥ ...
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