7. Let f(x,y)=³-3z + 3ry². (a) Verify that the following are critical points of f: (0, 1), (0.-1), (1.0), and (-1,0).
7. Let f(x,y)=³-3z + 3ry². (a) Verify that the following are critical points of f: (0, 1), (0.-1), (1.0), and (-1,0).
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:7. Let f(x,y) = − 3z + 3ry².
(a) Verify that the following are critical points of f
(0, 1), (0.-1), (1.0), and (-1,0).
(b) Classify each critical point as a local maximum, local minimum or saddle point.
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