M2263F04Key - Answer Key Math 2263 Fall 2004 Final Exam...

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Unformatted text preview: Answer Key Math 2263 Fall 2004 Final Exam Multiple Choice Problems 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. D C D D B B E B E B Written Answer Problems 11. a) 7 6 5.715 3 b) direction of gradient is 3 , 2 , -1 14 c) rate of change along gradient is 214 7.483 12. point on surface closest to origin is ( 0, 0, 32 ) 13. - 640 (total flux is inward) 3 2 3 ( 4 + 2 ) 2 a a + 3 20 2 + 1 2 14. mass of remaining solid is 15. the mass of plating is 144 16. work done is 64 + 20 3 ...
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This note was uploaded on 10/05/2011 for the course MATH 2263 taught by Professor Staff during the Spring '08 term at Minnesota.

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