The area of a rectangle inscribed in one arc of the graph of y = cos x

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The area of a rectangle inscribed in one arc of the graph of y = cos x (see figure) is given by A = 2x cos x, 0
y х и 2 -1t к|

(a) Use a graphing utility to graph the area function, and approximate the area of the largest inscribed rectangle.
(b) Determine the values of x for which A ‰¥ 1.

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