Question: (a) Find the average value of the function f (x) = 1/x on the interval [1, 4]. (b) Find the value c guaranteed by the

(a) Find the average value of the function f (x) = 1/√x on the interval [1, 4].
(b) Find the value c guaranteed by the Mean Value Theorem for Integrals such that f_ave = f (c).
(c) Sketch the graph of f on [1, 4] and a rectangle whose area is the same as the area under the graph of f.

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