Curve of intersection of surfaces

[jegues]

Homework Statement

See first figure attached

Homework Equations

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!

 

[jegues]

Bump, still looking for some help on this one!