Suppose f(x,y)=x2+y2−8x−6y+5(A) How many critical

 Suppose f(x,y)=x2+y2−8x−6y+5

(A) How many critical points does f have iR2?

(B) If there is a local minimum, what is the value of the discriminant D at that point? If there is none, type N.

(C) If there is a local maximum, what is the value of the discriminant D at that point? If there is none, type N.

(D) If there is a saddle point, what is the value of the discriminant D at that point? If there is none, type N.

(E) What is the maximum value of f oR2? If there is none, type N.

(F) What is the minimum value of f oR2? If there is none, type N.

 

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