Mathematics, 23.07.2020 04:01 StupidFatChipmunk
Find the volume of the solid that is generated when the given region is revolved as described. The region bounded by f(x)equalse Superscript negative x, xequalsln 16, and the coordinate axes is revolved around the y-axis.
Answers: 1
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![= 2\pi \int\limits^{In 16}_0 {xe^{-x}} \, dx\\\\\\= 2\pi {(e^{-x}[-x-1])}_{0}^{In 16}\\\\ = 2\pi {(\frac{1}{16} \times (15-41n^2 ))}\\\\ = \frac{\pi}{8}(15-41n^2 )\\](/tpl/images/0711/6326/8da74.png)
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Find the volume of the solid that is generated when the given region is revolved as described. The r...
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