A farmer wants to build a rectangular pen which will be bounded on one side by a river and on the other three sides by a single-strand electric fence. If the farmer has 40 meters of wire to use, what is the largest area that the farmer can enclose? Pen (You can click on the graphic to enlarge the image.) (a) Write the formula for the area A(x) of the pen as a function of x only ( Refer to the given picture ). A(x) = 2 square meters (b) The function A(x) has a critical point at E meters (c) What is the maximum area of the pen?

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Q: 9.

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