A farmer has 2400 feet of fencing and wants to fence off a rectangular field that borders a straight river. He doesn’t need any fence along the side which faces the river. What is the area of the largest field he can fence off? What are its dimensions? Illustrate with a labelled diagram.   1. Calculate the equation for the area 2.  Draw a  diagram 3.  Calculate the first derivative 4. Solve  all critical points  5. Calculate the dimensions of the field  6.  Calculate the area

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