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Suppose f(x, y) = x2 + y2 - 2x - 4y + 4 How many critical points does f have in

ID: 2834344 • Letter: S

Question

Suppose f(x, y) = x2 + y2 - 2x - 4y + 4 How many critical points does f have in R2? If there is a local minimum, what is the value of the discriminant D at that point? If there is none, type N. If there is a local maximum, what is the value of the discriminant D at that point? If there is none, type N. If there is a saddle point, what is the value of the discriminant D at that point? If there is none, type N. What is the maximum value of f on R2? If there is none, type N. What is the minimum value of f on R2? If there is none, type N.

Explanation / Answer

B) 4

f) -1