Hey I am trying to do this problem:
Setup an integral to find the volume for the region in the first octant that touches the
xy plane and is bounded by the plane that passes through the points (1, 2, 0), (0, 0, 1)
and (0, 0, 0) and the plane that passes through the points (1, 2, 0), (0, 0, 2) and (3, 0, 0).
You do not need to integrate.
I wasn't sure what to do so I found the equation of the two planes. For the first plane(first 3 points) I got y = 2x(Is this equation for a plane possible since there is a point at (0,0,1)? Then for the second I got z = -(2/3)x - (2/3)y.
I'm not sure what to do now though as I cant see how to find the bounds for all three variables in order to set up the triple integral.
Any help would be appreciated