Find the volume of the solid in the octant x,y,z>=0, bounded by x+y+1=1 and x+y+2z=1
The Attempt at a Solution
I've been looking at an example in the textbook that is similar to this problem. First, I found the projection of W onto the xy plane:
This lets you find the bounds of x in terms of y (The bounds of z are just the two functions above).
Here is where I got confused. In the book, with different functions, they used the same process. But the book had 0<=x<=(their function) and 0<=y<=1
and I'm not sure where the lower bound of x or either of the bounds of y came from.
If someone could either clarify where these came from and/or help me continue with my own problem, that would be great.