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Consider the given function and the given interval. f (x) = 14sin (x) - 7 sin (2x) , [0, #] (a) Find the average value
Consider the given function and the given interval. f (x) = 14sin (x) - 7 sin (2x) , [0, #] (a) Find the average value fave of f on the given interval. 28 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 to turn in this sketch.)
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