Q 3 - Calculus

Question

What are the graphs of the constant functions$x=x_0$

$y=y_0$, and $z=z_0$ in the rectangular coordinate system?

Step-by-Step Solution

Answer

A plane$y=y_0$ parallel to-$yz$a plane is also a plane$z=z_0$ parallel to a$xy$ plane.

Step 1: 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.

Step 2: Determine whether the given functions are represented a coordinate system or not

A plane parallel to the $yz$- plane exists in rectangular coordinates$x=x_0$.

Because the plane parallel to the $yz$-plane is represented by$x=0$ and the plane parallel to the $yz$-plane is represented by$x=x_0$

A $y=y_0$plane parallel to-$xz$a plane is also a plane$z=z_0$ parallel to a$xy-$ plane.