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Chapter 13: Q 4 (page 1065)

What are the graphs of the constant functionsr=r0

胃=胃0, andz=z0 in the cylindrical coordinate system?

Short Answer

Expert verified

In the equation胃=胃0representing the plane parallel toxz-plane.

and the equation z=z0representing the plane parallel toxy-plane

Step by step solution

01

Given information

The goal is to understand the graphs of constant functions r=r0,胃=胃0z=z0in cylindrical coordinates.

The graphs of r=r0represent plane equations parallel to the yz-plane in the cylindrical coordinate system.

02

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

The planexz- parallel to the -plane is represented by the equation胃=胃0

The planexy-parallel to the -plane is represented by the equationz=z0

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