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Find and Classify All Critical Points for the Function F(x

Question 34

Multiple Choice

Find and classify all critical points for the function f(x, y) = x3 - 12xy2 + y3 + 45y.


A) (2, 1) and (-2, -1) are saddle points
B) (2, 1) , (2, -1) , (-2, 1) , and (-2, -1) are saddle points
C) (2, 1) is a local maximum and (-2, -1) is a local minimum
D) (2, -1) and (-2, 1) are saddle points
E) There are no critical points.

Correct Answer:

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