8 Given k E R, the function f(x, y) = ka² + (k – 1)y² + 12ry admits (A) a minimum point, if k = 0 (B) a maximum point, if k = 1 (C) a minimum point, if k =1 (D) a saddle point, if k = 0
8 Given k E R, the function f(x, y) = ka² + (k – 1)y² + 12ry admits (A) a minimum point, if k = 0 (B) a maximum point, if k = 1 (C) a minimum point, if k =1 (D) a saddle point, if k = 0
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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![8 Given k E R, the function f(x, y) = ka² + (k – 1)y² + 12ry admits
(A) a minimum point, if k = 0
(B) a maximum point, if k = 1
(C) a minimum point, if k =1
(D) a saddle point, if k = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fafbd6a3f-0e87-465c-8695-ef01720814f6%2F80e550f3-e12e-448f-97c8-9d04df5d0698%2Fkbgcaa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8 Given k E R, the function f(x, y) = ka² + (k – 1)y² + 12ry admits
(A) a minimum point, if k = 0
(B) a maximum point, if k = 1
(C) a minimum point, if k =1
(D) a saddle point, if k = 0
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