Answer: Comparing volumes Let R be the region bounded by y

Chapter 7, Problem 89

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Comparing volumes Let R be the region bounded by y = ln x, the x-axis, and the line x = a, where a 7 1. a. Find the volume V11a2 of the solid generated when R is revolved about the x-axis (as a function of a). b. Find the volume V21a2 of the solid generated when R is revolved about the y-axis (as a function of a). c. Graph V1 and V2. For what values of a 7 1 is V11a2 7 V21a2?

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