Suppose That $f ( x , y ) = x ^ { 2 } + 4 x y + y ^ { 2 }$

question 4

Short Answer

Suppose that $f ( x , y ) = x ^ { 2 } + 4 x y + y ^ { 2 }$ Find and classify the critical point(s)as local maxima, local minima, or saddle points.

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Definitions:

Early Byzantine

Referring to the initial period of the Byzantine Empire, characterized by the spread of Christianity and the establishment of its unique art and architectural styles.

Ivory Diptych

Two panels, often intricately carved from ivory and hinged together, historically used for religious and ceremonial purposes.

Ascension Scene

Refers to the depiction in art of the biblical event where Jesus Christ ascends to heaven in the presence of his apostles.

Rabbula Gospels

An illuminated Syriac Gospel book dated to the 6th century, known for its rich illustrations and as a key source for understanding early Christian art.