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Sketch a graph of this region

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Reference no: EM131143340

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).

Reference no: EM131143340

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