Q 15. - Calculus

Question

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

One level curve is a circle together with the point that is the center of the circle.

Step-by-Step Solution

Answer

Step 1. Given information

One level curve is a circle together with the point that is the center of the circle.

Step 2. Explanation

The goal is to sketch a crude graph of a relationship of two variables with a "one level curve containing exactly two points."

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