Find and Classify the Relative Extrema and Saddle Points of the Function

question 96

Short Answer

Find and classify the relative extrema and saddle points of the function $f ( x , y ) = x ^ { 2 } + 2 y ^ { 2 } + x ^ { 2 } y + 13$ .

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Definitions:

Separate-but-equal Doctrine

A legal principle that justified racial segregation, claiming that separate facilities for blacks and whites were constitutional if they were equal in quality; declared unconstitutional by Brown v. Board of Education (1954).

Equal Protection Clause

A provision in the Fourteenth Amendment to the U.S. Constitution prohibiting states from denying any person within its jurisdiction the equal protection of the laws.

Emancipation Proclamation

An executive order issued by President Abraham Lincoln in 1863 that declared the freedom of all slaves in Confederate-held territory during the American Civil War.

Abraham Lincoln

A 16th President of the United States who led the country through its Civil War and helped to abolish slavery.