Answer the question.The graph below shows the level curves of a differentiable function f(x, y) (thin curves) as well as the constraint g(x, y) =
-
= 0 (thick circle). Using the concepts of the orthogonal gradient theorem and the method of Lagrange multipliers, estimate the coordinates corresponding to the constrained extrema of f(x,y).
A. (1.5, 0.2), (0.7, 1.3), (-1.5, 0.2), (-0.7, 1.3), (-1.5, -0.2), (-0.7, -1.3), (1.5, -0.2), (0.7, -1.3)
B. (1.1, 1.1), (-1.1, 1.1), (-1.1,-1.1), (1.1,-1.1)
C. (1.5, 0), (0, 1.5), (-1.5, 0), (0, -1.5)
D. (1.3, 0.7), (-1.3, 0.7), (-1.3,-0.7), (1.3,-0.7)
Answer: D
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A.
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