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