anonymous
  • anonymous
you have 100 ft of fencing to use for three sides of a rectangular fence, with your house enclosing the fourth side. the area of the enclosure is given by A=-2x^2+100x. graph the equation to find the maximum area possible, and how long each side needs to be to obtain that area?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
diffrentiate the area function derivative(-2x^2+100x)=-4x+100 equate this to zero we find x=25 this is only solution so it must be maximum sides are 25,50 area is 1250 sq.ft
anonymous
  • anonymous
thank you very much! although i do need to learn more about derivatives, because i don't really understand how to get the -4x+100 part.

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