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Given That the Quadratic Taylor Polynomial of F at (4 p(x,y)=−2+x2+y2−4x+12yp ( 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+x2+y2−4x+12yp ( x , y ) = - 2 + x ^ { 2 } + y ^ { 2 } - 4 x + 12 y decide whether (4,5)( 4,5 ) is a critical point.If so, identify what sort of critical point it is.

Correct Answer:

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