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Unformatted text preview: Name: Section Number: TA Name: Section Time: Math 10A. Final Examination December 8, 2006 Turn off and put away your cell phone. You may use any type of calculator, but no other electronic devices during this exam. You may use one page of notes, but no books or other assistance during this exam. Read each question carefully, and answer each question completely. Show all of your work; no credit will be given for unsupported answers. Write your solutions clearly and legibly; no credit will be given for illegible solutions. If any question is not clear, ask for clarification. Please note: there are multiple versions of this examination. Answers appropriate for a version different from your own will be considered as evidence of academic dishonesty. # Points Score 1 6 2 4 3 4 4 6 5 6 6 6 7 4 8 10 Σ 46 1. Find dy dx using implicit differentiation: (a) (3 points) x 4 y 5 5 xy = 100 (b) (3 points) cos( y ) = xy 2. (4 points) A crate open at the top has vertical sides, a square bottom, and a volume of 108 cubic feet. If the crate has the least possible surface area, find its dimensisons. 3. (4 points) In 1926, Grandpa Herman invested $75 (the contents of his wallet) at a3....
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 Winter '07
 Arnold
 Math, local maximum, Grandpa Herman

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