## Calculus 8th Edition

Published by Cengage

# Chapter 12 - Vectors and the Geometry of Space - 12.1 Three-Dimensional Coordinate Systems - 12.1 Exercises - Page 837: 31

#### Answer

Circle of radius 2 centered at $(0,0,-1)$ and parallel to xy-plane.

#### Work Step by Step

The first constraint is the equation that constrains x and y to form a circle pattern, or a cylinder in 3 dimensions. With the z-constraint added, we end with a circle.

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