a) Sketch the region enclosed by y = 1/x³/2, to the right of the line x = 1, and the x- axis. b) Set up the integral to find the volume of the solid formed by revolving the above region about the x-axis. c) Find the volume of the integral set up above if possible. If it is not possible, state the integral is divergent.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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### Calculus Problem

#### a) Sketch the region enclosed by \( y = \frac{1}{x^{3/2}} \), to the right of the line \( x = 1 \), and the x-axis.

#### b) Set up the integral to find the volume of the solid formed by revolving the above region about the x-axis.

#### c) Find the volume of the integral set up above if possible. If it is not possible, state the integral is divergent.
Transcribed Image Text:### Calculus Problem #### a) Sketch the region enclosed by \( y = \frac{1}{x^{3/2}} \), to the right of the line \( x = 1 \), and the x-axis. #### b) Set up the integral to find the volume of the solid formed by revolving the above region about the x-axis. #### c) Find the volume of the integral set up above if possible. If it is not possible, state the integral is divergent.
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