Describe the 3-space graph of the equation x² + z² = 4. A) a circle of radius 2 in the xz-plane having centre at the origin B) a circular cylinder of radius 2 with central axis along the y-axis C) a sphere of radius 2 having centre at the origin D) a disk of radius 2 in the xz-plane having centre at the origin. E) a circular cylinder of radius 4 with central axis along the x-axis

Question

Quizplus · Accepted Answer

The equation simplifies to x^2 + z^2 = 4, which describes a circle of radius 2 in the xz-plane. When extended through 3D space (due to no y term), it forms a circular cylinder along the y-axis.

Describe the 3-Space Graph of the Equation X2 + Z2

Describe the 3-Space Graph of the Equation X² + Z²