Find a and B So That $f ( x , y ) = a x ^ { 2 } + b x y + y ^ { 2 }$

question 56

Short Answer

Find a and b so that $f ( x , y ) = a x ^ { 2 } + b x y + y ^ { 2 }$ has a critical point at (1, 6).

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Definitions:

Migratory Birds

Birds that travel from one region or climate to another at regular times of the year, often for breeding or climate conditions.

Fallacy of Composition

The error of assuming that what is true of a member of a group is true for the group as a whole.

Complex Product

A product that is made up of various components and possibly involves intricate processes in its manufacture or usage.

Assembly Line

A manufacturing process in which parts are added to a product in a sequential manner to create a finished product much faster than with handcrafting-type methods.