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

question 21

Short Answer

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

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Definitions:

Accounting Profits

The difference between a company's total revenue and its total expenses, excluding taxes and costs not directly related to its core business operations.

Economic Profits

The difference between total revenue and total costs, including both explicit and implicit costs, measuring the performance of a firm beyond its opportunity costs.

Economic Profit

Economic profit is the difference between a firm's total revenue and its total costs, including both explicit and implicit costs, representing the excess over the firm's opportunity costs.

Implicit Costs

The firm’s opportunity costs of using resources owned or provided by the owner.