1. The problem statement, all variables and given/known data Use double integrals to find the volume of the region in the first octant (x, y, z all more than or equal to zero) bounded by the vertical plane 2x + y = 2 and the surface z = x2 2. Relevant equations 3. The attempt at a solution I'm having major problems visualizing this, which is stopping me from even getting started. z = x2 I think I can visualize by itself. But the plane is confusing me. My prof taught us that to sketch a plane, you find the zeros of the equation. So setting y and z to zero, we find the plane crosses the x axis at 1 and similarly the y axis at 2. But then the plane would be horizontal, not vertical... Help?