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 73

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:

Contract

A legally enforceable agreement between two or more parties where each agrees to fulfill certain obligations in exchange for benefits or considerations.

Court

A governmental institution where legal disputes are resolved by judges or a jury, and laws are interpreted and applied.

Mirror-Image Rule

A principle which holds that the terms of an acceptance must mirror the terms of the offer. If the terms of the acceptance do not mirror the terms of the offer, no contract is formed and the attempted acceptance is a counteroffer.

Acceptance

In contract law, it is the expression of assent to the terms of an offer in such manner as requested or authorized by the offeror.