The area of a rectangle (see figure) inscribed in one arc of the graph of y = cos x is given by A = 2x cos x, 0 < x < π/2. y (a) Use a graphing utility to graph the area function, and approximate the area of the largest inscribed rectangle. (Round your answer to two decimal places.) A = (b) Determine the values of x for which A ≥ 0.46. (Round your answers to two decimal places.)

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