Quest Assignment 19-problems

# Quest Assignment 19-problems - saliyev (is4663) – Quest...

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Unformatted text preview: saliyev (is4663) – Quest Assignment 19 – rodin – (54520) 1 This print-out should have 10 questions. Multiple-choice 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.

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Quest Assignment 19-problems - saliyev (is4663) – Quest...

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