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July 17th, 2009, 02:30 PM  #1 
Newbie Joined: Jul 2009 Posts: 1 Thanks: 0  Maximum area of an area within y=x^2
I've got this problem that I'm trying to solve, I've been twisting my brain for several hours now. An area 'A' is limited by the curve y=x^2, the xaxel and the line x=2 In this area is a rectangle with the area R, as seen in the figure. Calculate the maximum relation between R and A in exact form. If someone could take a look at this and help me, I would appreciate it very very much! (sorry for my bad english) 
July 17th, 2009, 03:48 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,759 Thanks: 696  Re: Maximum area of an area within y=x^2 Quote: The area under the parabola is 8/3 (I'll let you derive it). 

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area, maximum, yx2 
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