The function of two variables ƒ(x, y) = 3x² — 2xy − 10x + y² + 2y +9 has a stationary point at (2, 1). At this stationary point, the Hessian matrix for fis H= [5₂ -2 2 Select the option that describes this stationary point. Select one: The stationary point is a saddle point. The nature of the stationary point cannot be determined from the Hessian matrix. The stationary point is a local maximum. The stationary point is a local minimum.
The function of two variables ƒ(x, y) = 3x² — 2xy − 10x + y² + 2y +9 has a stationary point at (2, 1). At this stationary point, the Hessian matrix for fis H= [5₂ -2 2 Select the option that describes this stationary point. Select one: The stationary point is a saddle point. The nature of the stationary point cannot be determined from the Hessian matrix. The stationary point is a local maximum. The stationary point is 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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![The function of two variables
ƒ(x, y) = 3x² – 2xy − 10x + y² + 2y +9
has a stationary point at (2, 1). At this stationary
point, the Hessian matrix for fis
H=[6₂
-2
Select the option that describes this stationary point.
Select one:
2].
-2
The stationary point is a saddle point.
The nature of the stationary point cannot be
determined from the Hessian matrix.
The stationary point is a local maximum.
The stationary point is a local minimum.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ac9dc76-28dc-4d11-9e57-18b906b03777%2Feb68c9e3-f1d5-47fe-a827-73854614fb15%2Fepeql4o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The function of two variables
ƒ(x, y) = 3x² – 2xy − 10x + y² + 2y +9
has a stationary point at (2, 1). At this stationary
point, the Hessian matrix for fis
H=[6₂
-2
Select the option that describes this stationary point.
Select one:
2].
-2
The stationary point is a saddle point.
The nature of the stationary point cannot be
determined from the Hessian matrix.
The stationary point is a local maximum.
The stationary point is a local minimum.
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