122(s08)chapter7sampletest

122(s08)chapter7sampletest - box with a square base, whose...

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Sample Test: Chapter 7 1.) (10 points) Given: 4 ) , ( 2 - - = x y y x f Find and sketch the level curve of the given function when C = 0. 2.) (10 points) Compute: dx dy xy ) 6 ( 2 0 1 0 2 ∫ ∫ 3.) (20 points) Given: 2 2 ) 4 3 ( ) , ( y x e y x f xy - + = Compute all first and second order partials. Label all your answers. 4.) (20 points) Given: y x y xy x y x f 4 2 2 2 ) , ( 2 2 + + - + - = Find all critical points and classify each as being maximums, minimums, or saddlepoints. 5.) (20 points) Using Lagrange Multipliers, find the dimensions of an open rectangular
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Unformatted text preview: box with a square base, whose volume is 32 cubic feet, that requires the least amount of material for its construction. 6.) (20 points) Given: (1,4),(2,2),(3,2),(4,1) a.) using the method of least square, compute the equation for the best regression line. b.) Find the error c.) Using your answer from part a, if x = 5, find y....
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This note was uploaded on 04/07/2008 for the course MATH 122 taught by Professor Rommero during the Spring '08 term at SUNY Buffalo.

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122(s08)chapter7sampletest - box with a square base, whose...

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