If $f ( x , y ) = 2 x ^ { 2 } + 2 y ^ { 2 }$

question 9

Essay

If $f ( x , y ) = 2 x ^ { 2 } + 2 y ^ { 2 }$ and $x = e ^ { u } , y = u e ^ { w }$ find f_w(1, 1)using the chain rule.Give your answer to 4 decimal places.

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Definitions:

Sorority House

A residence where members of a female student organization, formed primarily for social or academic purposes, live together on or near a college campus.

Social Interaction

is the exchange between two or more individuals, influencing their behavior and perceptions in a social context.

Proxemic Bubble

The personal space or invisible boundary around individuals that they prefer not to be invaded by others, varying in size across different cultures and contexts.

E.T. Hall

An American anthropologist recognized for his groundbreaking work on the understanding of nonverbal communication and cultural interactions.