Question

What is level surface?give examples.

Answer 1

Explanation:

level surface. A surface which at every point is perpendicular to a plumb line or the direction in which gravity acts; parallel to the surface of still water.

EX:- The graph of z=f(x,y) as a surface in 3-space can be regarded as the level surface w=0 of the function w(x,y,z)=z−f(x,y).