Find the critical points of the function f(x, y) = x + y - 196xy Answer: (0,0), (10.330,22.4986), (22.4986,10.330) Starting with the point with the smallest a value, use the Second Derivative Test to determine whether each critical point is P₁ O A. a local minimum OB. test fails C. a saddle point OD. a local maximum P2 OA. test fails OB. a local maximum OC. a saddle point D. a local minimum P3 A. a local maximum OB. a saddle point OC. test fails D. a local minimum
Find the critical points of the function f(x, y) = x + y - 196xy Answer: (0,0), (10.330,22.4986), (22.4986,10.330) Starting with the point with the smallest a value, use the Second Derivative Test to determine whether each critical point is P₁ O A. a local minimum OB. test fails C. a saddle point OD. a local maximum P2 OA. test fails OB. a local maximum OC. a saddle point D. a local minimum P3 A. a local maximum OB. a saddle point OC. test fails D. a local minimum
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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Transcribed Image Text:Find the critical points of the function f(x, y) = x² + y² − 196xy
Answer: (0,0), (10.330,22.4986), (22.4986,10.330)
Starting with the point with the smallest x value, use the Second Derivative Test to determine whether each critical point is
X
P₁
A. a local minimum
B. test fails
C. a saddle point
D. a local maximum
P₂
OA. test fails
○ B. a local maximum
C. a saddle point
D. a local minimum
P3
A. a local maximum
○ B. a saddle point
C. test fails
D. a local minimum
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