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E.g. Let f(x, y) = x² - 2xy + y². The graph and contour diagram of f is given below right. Compute Vf at the points: (0, 0), (1, 1), (-1, 1), (1, -1), (2,0), and (0,2). Sketch each Vfp on the axes below left. What is the graphical meaning of Vfp?

E.g. Let f(x, y) = x² - 2xy + y². The graph and contour diagram of f is given below right. Compute Vf at the points: (0, 0), (1, 1), (-1, 1), (1, -1), (2,0), and (0,2). Sketch each Vfp on the axes below left. What is the graphical meaning of Vfp?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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E.g. Let f(x, y) = x² − 2xy + y². The graph and contour diagram of ƒ is given below right. Compute Vf at the points: (0,0), (1, 1), (−1, 1), (1,−1), (2,0), and (0,2). Sketch each Vfp on the axes below left. What is the graphical meaning of Vfp? -1 1 -1 -2 1 2 1.0 4 0.5 y 0.0 -0.5 -1.0 2 0 -1.0 -1.0 -0.5 0.0 x -0.5 0.5 0.0 x 1.0 0.5 -0.5 1.0 70.9 -1.0 1.0 0.5
Transcribed Image Text:E.g. Let f(x, y) = x² − 2xy + y². The graph and contour diagram of ƒ is given below right. Compute Vf at the points: (0,0), (1, 1), (−1, 1), (1,−1), (2,0), and (0,2). Sketch each Vfp on the axes below left. What is the graphical meaning of Vfp? -1 1 -1 -2 1 2 1.0 4 0.5 y 0.0 -0.5 -1.0 2 0 -1.0 -1.0 -0.5 0.0 x -0.5 0.5 0.0 x 1.0 0.5 -0.5 1.0 70.9 -1.0 1.0 0.5
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