If All the Level Surfaces of a Function $f ( x , y , z )$

question 92

True/False

If all the level surfaces of a function $f ( x , y , z )$ are parallel planes, then f must be a linear function.

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Definitions:

Culture

The shared beliefs, practices, norms, and values of a group of people or society.

Greater Good

A principle that actions should be judged by their benefit to the majority or the community as a whole.

Individual

A single human being as distinct from a group, class, or family, often emphasized in discussions of personal identity and rights.

Kant

Immanuel Kant was an 18th-century German philosopher who is a central figure in modern philosophy.