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Farmer Ed has 3500 meters of fencing and wants to enclose a rectangular plot that borders on a river. If farmer Ed does not fence the side along the river, what is the largest are that can be enclosed?
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|dw:1372876921783:dw| Write an expression for the area of the rectangular plot in terms of x. Then differentitae it with repect to x. Set the derivative equal to zero and solve for x. That will give you hte value of x that creates the largest area. Then plug in that value of x into the expression for the area, and find the maximum area.
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