A page that is x inches wide and y inches high contains 32 square inches of print. The margins at the top and bottom are 2 inches deep and the margins on each side are 1 inch wide (see figure). 1 in. Hence, A = X = 2 in. 2 in. We know that A = xy and that (x- )(x- X (a) Show that the total area A of the page is given by A = 2x(2x + 12) x-2 in 1 in. y = 32 y = (b) Determine the domain of the function based on the physical constraints of the problem. (Enter your answer using interval notation.) (c) Use a graphing utility to graph the area function and approximate the page size such that the minimum amount of paper will be used. Verify your answer numerically using the table feature of the graphing utility. (Round your answers to two decimal places.) x = in y =

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