Two parabolas intersect at two points. The four tangent lines at their points of intersection form a 3 * 4 rectangle. Find the area of the closed region created by both parabolas.
Archimedes proved the area of a parabolic section is 2/3 of the triangle that encloses it.
The 3*4 rectangle is just two such triangles.
2/3 of 12 is 8.
Here's a nice demonstration I found
https://www.geogebra.org/m/Q2R8w4Xq
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Posted by Jer
on 2018-03-28 09:35:57 |
Easy way
