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 Determine where the function f(x,y,z)=xyzx2+y2+z22 is continuous. \text { Determine where the function } f ( x , y , z ) = \frac { x y z } { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 2 } \text { is continuous. }

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 Determine where the function f(x,y,z)=xyzx2+y2+z22 is continuous. \text { Determine where the function } f ( x , y , z ) = \frac { x y z } { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 2 } \text { is continuous. }


Definitions:

Osteoporosis

A medical condition characterized by the weakening of bones, making them fragile and more prone to fractures.

Bone Density

A measurement indicating the amount of mineral matter per square centimeter of bones, used in assessing osteoporosis and fracture risk.

Osteopenia

A condition characterized by lower than normal bone density, which can precede osteoporosis.

Osteomyelitis

An infection of bone, which can lead to bone damage and loss if untreated.

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