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Chapter 12: Q 19. (page 916)

In Exercise, provide a rough sketch of the graph of a function of two variables with the specified level 鈥渃urve(s).鈥�

Some level curves consist of two concentric circles.

Short Answer

Expert verified

Some level curves consist of two concentric circles.

Step by step solution

01

Step 1. Given information

Some level curves consist of two concentric circles.

02

Step 2. Explanation

The goal is to draw a rough drawing of the graph of a two-variable function with "all level curves being circles except one, which is a point."

The graph must have a single point at a value of z to have a single point as one of the level curves.

A right circular cone is one of the examples.

The following is an example of a rough sketch.

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