Give an Appropriate Answer $\mathrm { f } ( \mathrm { x } , \mathrm { y } )$

question 392

Essay

Give an appropriate answer.
-Given the function $\mathrm { f } ( \mathrm { x } , \mathrm { y } )$ and the positive number $\varepsilon$ as in the formal definition of a limit, find a positive number $\delta$ as in the definition that insures $| f ( x , y ) - f ( 0,0 ) | < \varepsilon$ .
$f ( x , y ) = \frac { 2 x + y } { x ^ { 2 } y ^ { 2 } + 1 } ; \varepsilon = 0.12$

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Definitions:

Mosses

A phylum of spore-producing nonvascular plants with an alternation of generations in which the dominant n gametophyte alternates with a 2n sporophyte that remains attached to the gametophyte.

Liverworts

Simple, non-vascular plants, similar to mosses, that proliferate in moist, shaded environments and are among the earliest terrestrial plants.

Sporangium

A structure in fungi and plants where spores are produced and stored.

Meiosis

A type of cell division that reduces the chromosome number by half, resulting in the production of haploid gametes or spores.