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 January 11th, 2009, 04:04 PM #1 Newbie   Joined: Jan 2009 Posts: 2 Thanks: 0 Minimizing the length of a fold with differentiation Hello. I'm studying for my Calculus exam, and I'm stumped on one of the review questions in my textbook. A legal-sized sheet of paper (8.5 in by 14 in) is folded so that corner P touches the opposite 14 in edge at R. (PQ=?C^2-x^2) Here's the image given (sorry for th size): a) Show that C^2=(2x^3)/(2x-8.5) b) What is the domain of C? c) Determine the x-value that minimizes C. d) Determine the minimum length C. I had a friend help with me with this problem, but the work turned out be Calculus 3 work. Obviously, it didn't help me much. The only idea I have is you use the Pythagorean Theorem, starting with the top left right triangle(?)
 January 11th, 2009, 04:24 PM #2 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,948 Thanks: 1139 Math Focus: Elementary mathematics and beyond Re: Minimizing the length of a fold with differentiation This might help you: http://www.math.ucdavis.edu/~kouba/C...l#PROBLEM%2021
January 12th, 2009, 01:01 PM   #3
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Re: Minimizing the length of a fold with differentiation

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Perfect! Now, I understand. Thank you!

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# a sheet of paper is folded so the corner P touches the opposite edge at R

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