Chapter 13: Q 3 (page 1065)

What are the graphs of the constant functions $x = x_{0}$
$y = y_{0}$ , and $z = z_{0}$ in the rectangular coordinate system?

Short Answer

Expert verified

A plane $y = y_{0}$ parallel to- $y z$ a plane is also a plane $z = z_{0}$ parallel to a $x y$ plane.

Step by step solution

Given information

The goal is to describe the graphs of constant functions $x = x_{0}, y = y_{0}$ and $z = z_{0}$ in a rectangular coordinate system.

Determine whether the given functions are represented a coordinate system or not

A plane parallel to the $y z$ - plane exists in rectangular coordinates $x = x_{0}$ .

Because the plane parallel to the $y z$ -plane is represented by $x = 0$ and the plane parallel to the $y z$ -plane is represented by $x = x_{0}$

A $y = y_{0}$ plane parallel to- $x z$ a plane is also a plane $z = z_{0}$ parallel to a $x y -$ plane.

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What are the graphs of the constant functions $x = x_{0}$
$y = y_{0}$ , and $z = z_{0}$ in the rectangular coordinate system?

Short Answer

Step by step solution

Given information

Determine whether the given functions are represented a coordinate system or not

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What are the graphs of the constant functionsx=x0y=y0, and z=z0 in the rectangular coordinate system?

Short Answer

Step by step solution

Given information

Determine whether the given functions are represented a coordinate system or not

One App. One Place for Learning.

Most popular questions from this chapter

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What are the graphs of the constant functions $x = x_{0}$
$y = y_{0}$ , and $z = z_{0}$ in the rectangular coordinate system?