Determine Where the Function $f ( x , y , z ) = \frac { x y z } { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 2 }$

question 14

Short Answer

Determine where the function $f ( x , y , z ) = \frac { x y z } { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 2 }$ is continuous.

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Definitions:

Coelomic Fluid

Fluid found within the coelom, the body cavity of most animals, which aids in the transport of gases, nutrients, and waste materials.

Nephridia

Excretory organs in many invertebrates, including annelids, that serve to remove metabolic wastes from an organism’s body.

Earthworm

A terrestrial invertebrate belonging to the phylum Annelida, known for its role in aerating the soil and enhancing soil fertility.

Bladder

A hollow organ in the lower abdomen that stores urine from the kidneys before disposal.