Respuesta :

Answer:

It represents a circle of radius 2, centered in the origin of the plane xy and transversal to the z-axis in z=-1.

Step-by-step explanation:

The first thing to notice is that

[tex]x^2+y^2=2^2[/tex]

represents a circle of radius 2, with its center in the origin of a plane xy, of cartesians coordinates.

Starting from here, we have to put the coordinate z, to complete the space R³. Then, the cirlce will "live" into the plane xy, where z=-1.

Finally, we have that this region is a circle of radius 2, centered in the origin of the plane xy, and transversal to z=-1.