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.
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 straight-forward area problem.
Exactly where does your difficulty lie?
Let be a triangle with vertices
and let be the region between and
Find the ratioCode:| (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: