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Use the method of cylindrical shells to find the volume V generated by rotating the region...

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis.

y = ex, x = 0, y = 7π;    about the x-axis

Solutions

Expert Solution

Given curve is:

, and .

the given curve is rotated about x-axis.

finding intersection points:

put x-0,   

hence, intersection point is (0,1)

considered a small cylindrical shell of radius and height integrate it over the y-axis.

The corresponding volume of the curve is defined as:

  

milcah answered 2 years ago
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