Given That the Quadratic Taylor Polynomial of F at (4 $p ( x , y ) = - 2 + x ^ { 2 } + y ^ { 2 } - 4 x + 12 y$

question 2

Essay

Given that the quadratic Taylor polynomial of f at (4, 5)is $p ( x , y ) = - 2 + x ^ { 2 } + y ^ { 2 } - 4 x + 12 y$ decide whether $( 4,5 )$ is a critical point.If so, identify what sort of critical point it is.

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Definitions:

Savings

Money set aside typically in financial instruments, representing deferred consumption or for future use.

Disposable Income

The economic provision for households' saving and spending activities post income tax calculations.

Saving

Income that is not expended on immediate consumption but rather reserved for investing or future purposes.

Disposable Income

Financial resources at the disposal of households for the aims of saving and spending after income tax engagements.