Question: Let f:[1,)[0,) be the functionf(x)=1xand consider its graph in the plane.(a) Consider the (unbounded) region under the graph of f and above the x-axis. Show

Let f:[1,)[0,) be the functionf(x)=1xand consider its graph in the plane.(a) Consider the (unbounded) region under the graph of f and above the x-axis. Show that the solid obtained by revolving this region about the x-axis has a finite volume.(b) Show that the surface obtained by revolving the graph of f about the x-axis has an infinite surface area.

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