Q 21. - Calculus

Question

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

All of the level curves are squares.

Step-by-Step Solution

Answer

Step 1. Given information

All of the level curves are squares.

Step 2. Explanation

The goal is to create a crude graph of a function of two variables with "all of the level curves are squares."

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

A square pyramid is an example of this.

The following is an example of a rough sketch.