Question

The set of points(x,y,z) in space has constant value is called​

Answer 1

Answer:

is called level surface

Step-by-step explanation:

The graph is the set of points (x,y,z,f(x,y,z)). ... For a function of three variables, a level set is a surface in three-dimensional space that we will call a level surface. For a constant value c in the range of f(x,y,z), the level surface of f is the implicit surface given by the graph of c=f(x,y,z).

Answer 2

The set of points(x,y,z) in space has constant value is called surface

Step-by-step explanation:

One way to visualize functions is through their graphs. If f(x,y) is a scalar-valued function of two variables, f:R2→R (confused?), then its graph is the surface formed by the set of all the points (x,y,z) where z=f(x,y), i.e., the set of points (x,y,f(x,y)). By graphing this surface, we can visualize the behavior of the function.

As an example, we graph the function f(x,y)=−x2−2y2 using the domain defined by −2≤x≤2 and −2≤y≤2. The graph of all points (x,y,f(x,y)) with (x,y) in this domain is an elliptic paraboloid,

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