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2. (1 Point) The plot below is the graph of a contour map with four critical points - one at each of the points labeled
2. (1 Point) The plot below is the graph of a contour map with four critical points - one at each of the points labeled A, B, C, and D. Use the contour map to determine if these critical points are local maxes, local mins, or saddle points. o A is a 0 Local Maximum 0 Local Minimum 0 Saddle Point 0 B is a 0 Local Maximum 0 Local Minimum 0 Saddle Point 0 C is a 0 Local Maximum 0 Local Minimum 0 Saddle Point 0 D is a 0 Local Maximum 0 Local Minimum 0 Saddle Point 3. (1 Point) The flmction x, 3;) = x4 + y\" 4mg + 1 has three critical points: at (0, 0), at (1, 1), and at (1, 1) (You do not need to prove this). Use the Second Partials Test to classify each of this critical points as a local minimum, a local maximum, or a saddle point (If the test fails for a critical point, say \"Test Fails\") o (0, D) is a 0 Local Maximum 0 Local Minimum 0 Saddle Point 0 Test Fails 0 (1,1) is a 0 Local Maximum 0 Local Minimum 0 Saddle Point 0 Test Fails o (1,1) is a 0 Local Maximum 0 Local Minimum 0 Saddle Point 0 Test Fails
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