Describe the surface represented by the given equation. $z = 7$
A) Plane parallel to the xy-plane
B) Plane parallel to the xz-plane
C) Sphere with radius 7
D) Sphere with radius $\sqrt { 7 }$
E) none of these

Question

Quizplus · Accepted Answer

The equation is independent of x and y, which means that the surface is perpendicular to the z-axis and parallel to the xy-plane. Therefore, it is a plane parallel to the xy-plane.

Describe the Surface Represented by the Given Equation z=7z = 7z=7

Describe the Surface Represented by the Given Equation $z = 7$