2 Attachment(s)

Curve of intersection of surfaces

**The problem statement, all variables and given/known data**

See first figure attached

**The attempt at a solution**

I was able to sketch the two curves individually to get an idea of what I'm looking at, but I still can't really visualize how the two curves would intersect each other in the first octant.

Is this crucial to answering this question?

If I can write parametric equations for x, y and z then I could express the curve of intersection in that form. Then I'd simply have to look at values of t for which x=0, y=0 and z=0, right? Those would be the endpoints of the curve when they are exiting the first octant.

Any ideas/suggestions/tips?

Thanks again!