Consider the region bounded above by the graph of f(x) = 4/√x and below by the x-axis for 1 ≤ x ≤ 9.
(a) Sketch a graph of this region.
(b) Find the average value of f on this interval.
(c) Find the x-value c, guaranteed by the Mean Value Theorem for Intergrals, at which the area under the graph is equal to the area of a rectangle on [1, 9], i.e.: a∫b f(x)dx = f(c)(b - a).