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borishaifa [10]
2 years ago
12

Describe in words the region of R3 reperesented by the equations or inequalities x2+y2=4,z=-1

Mathematics
1 answer:
Roman55 [17]2 years ago
8 0

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

x^2+y^2=2^2

<u>represents a circle of radius 2</u>, 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. <em>Then, the cirlce will "live" into the plane xy, where z=-1</em>.

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.

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