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Unformatted text preview: saliyev (is4663) – Quest Assignment 19 – rodin – (54520) 1 This printout should have 10 questions. Multiplechoice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Use Lagrange multipliers to find the di mensions of the rectangular box with largest volume if the total surface area is given as 24 cm 2 . 1. x = 5 cm , y = 9 cm , z = 10 cm 2. x = 9 cm , y = 2 cm , z = 3 cm 3. x = 4 cm , y = z = 2 cm 4. x = y = z = 4 cm 5. x = y = z = 2 cm 002 10.0 points Use Lagrange multipliers to find three pos itive numbers whose sum is 276 and whose product is a maximum. 1. x = 1 , y = 137 , z = 138 2. x = y = z = 92 3. x = 91 , y = 92 , z = 93 4. x = 46 , y = 92 , z = 138 5. x = 138 , y = z = 69 003 10.0 points A rectangular box with edges parallel to the axes is inscribed in the ellipsoid 3 x 2 + y 2 + z 2 = 9 similar to the one shown in Use Lagrange multipliers to determine the maximum volume of this box....
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This note was uploaded on 02/21/2012 for the course M 408d taught by Professor Sadler during the Fall '07 term at University of Texas.
 Fall '07
 Sadler
 Sequences And Series

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