Give an Appropriate Answer $f ( x , y )$ And the Positive Number

question 152

Essay

Give an appropriate answer.
-Given the function $f ( x , y )$ and the positive number $\varepsilon$ as in the formal definition of a limit, find a positive number $\delta$ as in the definition that insures $| f ( x , y ) - f ( 0,0 ) | < \varepsilon$ .
$f ( x , y ) = x + y ; \varepsilon = 0.08$

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Definitions:

Mass Production

The manufacture of large quantities of standardized products, frequently using assembly line technology or automated systems.

Home-Based Consulting

Providing professional advice and services from a consultant’s residence rather than a traditional office setting.

80-Hour Weeks

Working weeks that consist of 80 hours of work, often indicating a high level of commitment or demand in a job or project.

Level of Commitment

The degree of dedication or loyalty an individual or group has towards a cause, activity, or organization.