Let $f ( x , y ) = y ^ { 2 } - 8 y x + 16 x ^ { 2 }$

question 6

Essay

Let $f ( x , y ) = y ^ { 2 } - 8 y x + 16 x ^ { 2 }$ Find the contour of f that passes through the point $( 0,2 )$ .

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Definitions:

Economic Occupation

The occupation or control of a territory or country by foreign military forces primarily for economic gain.

Specie Circular

An 1836 executive order by President Andrew Jackson that required payment for government land to be in gold or silver, leading to a shortage of specie.

Gold or Silver

Refers to the historical debate and political movement in the late 19th century United States advocating for the free coinage of silver in addition to gold to expand the money supply.

Nullification Crisis

A political crisis in the early 1830s involving a confrontation between South Carolina and the federal government over the state's attempt to nullify federal tariffs.