Give an Appropriate Answer $f ( x , y , z )$

question 380

Essay

Give an appropriate answer.
-Given the function $f ( x , y , z )$ and the positive number $\varepsilon$ as in the formal definition of a limit, find a positive number $\delta$ as in the definition that insures $| f ( x , y , z ) - f ( 0,0,0 ) | < \varepsilon$ .
$\mathrm { f } ( \mathrm { x } , \mathrm { y } , \mathrm { z } ) = \mathrm { x } + \mathrm { y } - \mathrm { z } ; \varepsilon = 0.09$

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Definitions:

Plant/Equipment Investment

Capital expenditure on the physical assets of a company to increase its capacity or improve its efficiency.

Long-Term Forecasts

Predictions about future events or trends in an industry or organization that extend beyond the immediate future, typically several years ahead.

Standard Deviation

An indicator of the extent of differences or spread among a collection of numbers.

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Arteries that connect the posterior cerebral arteries with the internal carotid arteries and are part of the circle of Willis in the brain.