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The integral 1 ?(y2−y4) dy   0 represents the volume of a solid

Math May 15, 2021

The integral

1 ?(y2−y4) dy
 
0

represents the volume of a solid. Describe the solid.
The solid obtained by rotating the region in the first quadrant bounded by the curves x = y2 and x = y4 around the x axis
The solid obtained by rotating the region in the first quadrant bounded by the curves x = y2 and x = y4 around the y axis
The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the x axis
The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the y axis

Expert Solution

Answer:

The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y² around the y axis.

Correct option is D

PFA

 

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