Mathematics, 12.10.2019 05:30 Chapo3760
Asolid has its base in the xy-plane, bounded by the x axis, the y axis and the function y=3-x⁵. if cross sections are taken perpendicular to the x axis are semicircles whose diameters are in the xy-plane, what is the volume of this solid?
Answers: 3
).
, where 
is the radius of the circular cross section. In terms of the sections' diameters 
, the area would be 
.
and the x-axis (
), or simply 
. So the area of any one cross-section for a given 
is 
.
to 
(the positive root of 
), so the volume of the solid would be
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Asolid has its base in the xy-plane, bounded by the x axis, the y axis and the function y=3-x⁵. if c...
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