Question
Asked Sep 23, 2019
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Consider the solid obtained by rotating the region bounded by the given curves about the x-axis.
y = 2/x, x = 7, x = 14, y = 0
Find the volume V of this solid.

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Expert Answer

Step 1

It is given that the region R is bounded by the curve y = 2/x and the lines x = 7, x = 14 and y = 0. This ...

v y?dx
-14
V
14
dx
4x 2dx
14
4TTx2dx
14
4Tt
x-1114
4Tt
7
1
4Tt
14
1
- 4π Χ
14
= -1
7
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Image Transcriptionclose

v y?dx -14 V 14 dx 4x 2dx 14 4TTx2dx 14 4Tt x-1114 4Tt 7 1 4Tt 14 1 - 4π Χ 14 = -1 7

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Tagged in

Math

Calculus

Integration