Hi there, sorry for the hurry, I had a big problem this weekend and I couldn't study. I have my exam tomorrow, and need help with this. I'm finishing with the topic, and I have almost studied all what I had to study, but this exercise resulted problematic.

This is it.

It asks me to calculate the area of the surface under the conditions

So I've made the parametrization this way:

And I've found:

Then I made the parametrization for the plane:

Then I made the integral for the surface, well, I've tried:

I think that the surface is actually not bounded.

Actually, when I did the intersection I've found a parabola:

Which I think makes sense, but the surface would be infinite, and I don't know what to do.

Any help will be thanked.