Re: Discussion Problem_(21)
Posted by Sinistral on Jun 13, 2013; 10:18am
URL: http://discussion-forum.276.s1.nabble.com/Discussion-Problem-21-tp7581423p7582245.html
find the area of the shaded triangle (figure below) and multiply it by f(x,y) ie 2. u will get 1/2
or u can integrate as done here
Integration is done over shaded area as only in this region x<y and x+y<1
it can be seen from the graph that as x goes from 0 to 1/2 => y goes from blue line to red line. blue line is y=x and red line is y=1-x. so limit of y will go from x to 1-x
URL: http://discussion-forum.276.s1.nabble.com/Discussion-Problem-21-tp7581423p7582245.html
find the area of the shaded triangle (figure below) and multiply it by f(x,y) ie 2. u will get 1/2
or u can integrate as done here
Integration is done over shaded area as only in this region x<y and x+y<1
it can be seen from the graph that as x goes from 0 to 1/2 => y goes from blue line to red line. blue line is y=x and red line is y=1-x. so limit of y will go from x to 1-x
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"You don't have to believe in God, but you should believe in The Book." -Paul Erdős
"You don't have to believe in God, but you should believe in The Book." -Paul Erdős
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