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Find a and B So That f(x,y)=ax2+bxy+y2f ( x , y ) = a x ^ { 2 } + b x y + y ^ { 2 }

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Find a and b so that f(x,y)=ax2+bxy+y2f ( x , y ) = a x ^ { 2 } + b x y + y ^ { 2 } has a critical point at (1, 6).


Definitions:

Child Between Marriages

A child born or raised by a parent or parents who have been married more than once, often relating to blended family dynamics.

Divorce

The formal termination of a marriage by a court or another authorized institution.

Complex Stepfamily

A stepfamily that includes children from both partners’ previous relationships, as well as any children they might have together, resulting in complex relational dynamics.

Previous Marriages

Marriages that an individual was part of before entering into their current marital relationship, which might influence their current conjugal life.

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