1. DETAILS Consider the given function and the given interval. f(x) = 2.r (1+x2)2 [0, 2] (a) Find the average value fave off on the given interval. fave = (b) Find c such that fave = f(c). (Enter solutions from smallest to largest. If there are any unused answer boxes, enter NONE in the last boxes. Round the answers to three decimal places.) C = C = (c) Sketch the graph of f and a rectangle whose area is the same as the area under the graph of f. (Do this on paper. Your instructor may ask you Submit Answer turn in this sketch.)

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