Find the average value fu,, of the function f(z) = 2z3 on the interval [0,2]. Then find the value guaranteed by the Mean Value Theorem for Integrals such that f,,, = f(c). Sketch the graph of f(z) = 2z on [0,2] and a rectangle with base [0, 2] whose area is the same as the area under the graph of f. Label the point(s) where the graph intersects the rectangle