Let T be a triangle witht vertices (0,0), (0,c^2), (c,c^2) and let R be the region between y =cx and y = x^2 where c>0. Fidn the ratio area T/ area R.
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Let T be a triangle witht vertices (0,0), (0,c^2), (c,c^2) and let R be the region between y =cx and y = x^2 where c>0. Fidn the ratio area T/ area R.
Hello, Susie38!
It's a straightforward area problem.
Exactly where does your difficulty lie?
Quote:
Let be a triangle with vertices
and let be the region between and
Find the ratio
Code:

(0,cē)*      * (c,cē)
 /:
 /::*
 /::::
 /::::*
 /:::*
   **     
(0,0)
The base of the triangle is , its height is .
. . Its area is:
The area of the parabolic segment is:
. .
Therefore: