Question
Asked Oct 6, 2019
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Consider the solid obtained by rotating the region bounded by the given curves about the x-axis.
y = 5/x, x = 4, x = 8, y = 0
Find the volume V of this solid.

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Expert Answer

Step 1

We will have to use Disk method with a=4, b=8

y=5/x given

V-л у' ах
V=ry*dx
2
8 5
V=T
dx
X
help_outline

Image Transcriptionclose

V-л у' ах V=ry*dx 2 8 5 V=T dx X

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Step 2

Then we calculate t...

2
5
dx
V=R
X
25
|dx
V=n
2
8
V=257(x)dx
X
V-25
8
V 25
X
help_outline

Image Transcriptionclose

2 5 dx V=R X 25 |dx V=n 2 8 V=257(x)dx X V-25 8 V 25 X

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