m264508..-5

m264508..-5 - v y i x j 1 z k Find the rate of ±ow outward...

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Nurul Hanim Hashim MATH264 May 2008 WeBWorK assignment 3 due 5/23/08 at 11:59 PM. 1. (2 pts) Find the surface area of the part of the circular pa- raboloid z x 2 y 2 that lies inside the cylinder x 2 y 2 1. Correct Answers: 5.33041350026897 2. (2 pts) Evaluate S 1 x 2 y 2 dS where S is the heli- coid: r u v u cos v i u sin v j v k , with 0 u 1 0 v 5 π Correct Answers: 20.943951023932 3. (2 pts) Find the surface area of the part of the sphere x 2 y 2 z 2 1 that lies above the cone z x 2 y 2 Correct Answers: 1.84030236902122 4. (2 pts) A ±uid has density 5 and velocity ²eld
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Unformatted text preview: v y i x j 1 z k . Find the rate of ±ow outward through the sphere x 2 y 2 z 2 25 Correct Answers: 2617.99166666667 5. (2 pts) Let S be the part of the plane 3 x 2 y z 2 which lies in the ²rst octant, oriented upward. Find the ±ux of the vector ²eld F 3 i 4 j 1 k across the surface S. Correct Answers: 6 Prepared by the WeBWorK group, Dept. of Mathematics, University of Rochester, c UR 1...
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