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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 legalsized 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^2x^2) Here's the image given (sorry for th size): a) Show that C^2=(2x^3)/(2x8.5) b) What is the domain of C? c) Determine the xvalue 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: 7,968 Thanks: 1152 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  
Newbie Joined: Jan 2009 Posts: 2 Thanks: 0  Re: Minimizing the length of a fold with differentiation Quote:
 

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differentiation, fold, length, minimizing 
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