A campground owner has 500 m of fencing. He wants to enclose a rectangular field bordering a river, with no fencing along the river. (See the sketch.) Let x represent the width of the field. (a) Write an expression for the length of the field as a function of x. (b) Find the area of the field (area = length x width) as a function of x. (c) Find the value of x leading to the maximum area. (d) Find the maximum area. x River

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A: (a) limx→2​x3(x−1)2​ Substituting x = 2:  23(2−1)2​=23(1)2​=23​  Therefore: limx→2​x3(x−1)2​=23​…

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