Question

find the areas bounded by the four curves y=1+((x^2)/4), y= -1-((x^2)/4), x= 1+((y^2)/4) and x= -1-((y^2)/4) List the elementary regions which you usedto find this area, define them by inequalities, and give the area of each.

Answer 1

http://www.wolframalpha.com/input/?i=plot+y%3D1%2B%28%28x^2%29%2F4%29%2C+y%3D+-1-%28%28x^2%29%2F4%29%2C+x%3D+1%2B%28%28y^2%29%2F4%29+and+x%3D+-1-%28%28y^2%29%2F4%29