Mathematics

Mathematics

Problem

For 1≤x≤e1\le x\le e, the region bounded above by the xx-axis and below by the curve y=ln⁡xy=\ln x is revolved about the horizontal line y=5y=5. For a fixed value of xx in [1,e][1,e], what is the distance from the axis of revolution to the curve y=ln⁡xy=\ln x that is used as a radius in setting up a washer integral? a) 5−ln⁡x\sqrt{5-\ln x} b) ln⁡x−5\ln x-5 c) 5−ln⁡x5-\ln x d) 5+ln⁡x5+\ln x

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