Suppose the Graph Of $z = f ( x , y )$

question 78

Essay

Suppose the graph of $z = f ( x , y )$ contains the point $P ( 2 , - 3,3 )$ , and that the tangent plane at P is given by $3 x + 2 y - 5 z = - 15$ .Find $f _ { x } ( 2 , - 3 )$ and $f _ { y } ( 2 , - 3 )$ .

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Definitions:

France

A country in Western Europe known for its rich history, culture, and contributions to art, philosophy, and science.

Bunau-Varilla

Philippe Bunau-Varilla was a French engineer and soldier who played a significant role in the construction of the Panama Canal and its transfer to the United States.

Panamanians

People originating from or residing in Panama, a country located in the southern part of Central America.

Bayonet Constitution

The 1887 Constitution of the Kingdom of Hawaii, forcibly imposed on King Kalākaua, which significantly reduced royal authority and increased the influence of American and European businessmen in Hawaiian government.