Equation of curves (intersection)

[madachi]

Homework Statement

Let S be the solid region bounded by the paraboloid z = x^2 + y^2 - 4 for z \le 0, 0 \le x \le \sqrt{4 - y^2} and 0 \le y \le 2. Find the Cartesian equations of the curves if the surface S intersects the xy,xz, and yz planes.

The Attempt at a Solution

Is the question asking us to find the equation of the intersection of z = x^2 + y^2 - 4 and z=z, z=x, and z=y respectively?

As I am confused with this question and not really sure how to start, so there is no attempt yet but I had some thought about this question. Could you tell me some hints to start the problem?

Thanks!

 

[lanedance]

i would take the xy plane to be where z = 0