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A campground owner has 2100 m of fencing. He wants to enclose a rectangular field bordering a river, with no fencing along the river. (See

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A campground owner has 2100 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. (a) 1(x) = (b) A (x ) = (c) First write the expression for the derivative used to find the x value that maximizes area. L dx = The x-value leading to the maximum area is (d) The maximum area of the rectangular plot is

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