Determine the Largest Set on Which the Function Is Continuous $$f ( x , y , z ) = \frac { x y z } { 6 x ^ { 2 } + 2 y ^ { 2 } - z }$$

question 65

Short Answer

Determine the largest set on which the function is continuous.
$$f ( x , y , z ) = \frac { x y z } { 6 x ^ { 2 } + 2 y ^ { 2 } - z }$$

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Definitions:

Animal Migration

The movement of groups of animals from one location to another, often seasonally, in response to changing environmental conditions.

Dominance Hierarchies

Social structures in animal societies where individuals are ranked based on behavior, strength, or some other criteria, affecting access to resources or mates.

Primate Societies

The complex social structures and behaviors observed in primates, including humans, monkeys, and apes.

Territoriality

A behavioral pattern in animals where an area is regularly patrolled and defended against intruders, often associated with claiming resources.