Describe the 3-space graph of the equation x² + y² = 0. A) the xy-plane B) the z-axis C) a circle D) a circular cylinder E) a parabolic cylinder

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Quizplus · Accepted Answer

The equation simplifies to x + y = 0, which describes a plane in 3D space. However, since z is not mentioned, it is free to take any value, meaning the graph is a line (the z-axis) that extends infinitely in the z-direction, making it a line in 3D space that lies in the xy-plane but extends along the z-axis.

Describe the 3-Space Graph of the Equation X2 + Y2

Describe the 3-Space Graph of the Equation X² + Y²