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Find the Local Maximum, and Minimum Value and Saddle Points f(x,y)=x2xy+y29x+6y+9f ( x , y ) = x ^ { 2 } - x y + y ^ { 2 } - 9 x + 6 y + 9

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Short Answer

Find the local maximum, and minimum value and saddle points of the function.
f(x,y)=x2xy+y29x+6y+9f ( x , y ) = x ^ { 2 } - x y + y ^ { 2 } - 9 x + 6 y + 9

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Definitions:

Semimembranosus

A large muscle in the back of the thigh that is part of the hamstrings group and helps in thigh extension and knee flexion.

Extensor Digitorum Longus

A muscle in the lower leg that helps to extend the toes and dorsiflex the foot, aiding in walking and running.

Fibularis Tertius

A small muscle in the lower leg that helps with foot eversion and extension of the toes.

Gastrocnemius

A major calf muscle that is involved in walking, running, and jumping, aiding in the bending of the knee and the plantar flexion of the foot.

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