Which ONE of the following statements is FALSE? OA. If f(x,y) has a saddle point at (a,b) the f(x,y)f(a,b) on some points (x,y) in a domain near point (a,b). OB. If (a,b) is one of the critical of f(x,y), then is not defined on (a,b). f O C. 0²f If f(x,y) has a minimum at point (a,b) then evaluated at (a,b) is positive. 0x2 OD. If the function f(x,y) is maximum at the point (a,b) then (a,b) is a critical point.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
icon
Related questions
Question
Which ONE of the following statements is FALSE?
OA. If f(x,y) has a saddle point at (a,b) the f(x,y) <f(a,b) and f(x,y) >f(a,b) on some points
(x,y) in a domain near point (a,b).
B. If (a,b) is one of the critical of f(x,y), then f is not defined on (a,b).
OC.
a²f
If f(x,y) has a minimum at point (a,b) then evaluated at (a,b) is positive.
0x²
OD. If the function f(x,y) is maximum at the point (a,b) then (a,b) is a critical point.
Transcribed Image Text:Which ONE of the following statements is FALSE? OA. If f(x,y) has a saddle point at (a,b) the f(x,y) <f(a,b) and f(x,y) >f(a,b) on some points (x,y) in a domain near point (a,b). B. If (a,b) is one of the critical of f(x,y), then f is not defined on (a,b). OC. a²f If f(x,y) has a minimum at point (a,b) then evaluated at (a,b) is positive. 0x² OD. If the function f(x,y) is maximum at the point (a,b) then (a,b) is a critical point.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage