Q 19.

Question

In Exercise, provide a rough sketch of the graph of a function of two variables with the specified level “curve(s).”

Some level curves consist of two concentric circles.

Step-by-Step Solution

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Answer

1Step 1. Given information

Some level curves consist of two concentric circles.

2Step 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.