Which ONE of the following statements is FALSE? OA. If the function f (x,y) is maximum at the point (a,b) then (a,b) is a critical point. O B. If (a,b) is one of the critical of f(x,y), then f is not defined on (a, b). OC. 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). O D. a²f If f(x,y) has a minimum at point (a,b) then evaluated at (a,b) is positive. дх2

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Which ONE of the following statements is FALSE?
O A. If the function f (x,y) is maximum at the point (a,b) then (a,b) is a critical point.
OB. If (a,b) is one of the critical of f (x,y), then f is not defined on (a,b).
OC. 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).
O D.
0²f
If f (x,y) has a minimum at point (a,b) then
evaluated at (a,b) is positive.
0x²
Transcribed Image Text:Which ONE of the following statements is FALSE? O A. If the function f (x,y) is maximum at the point (a,b) then (a,b) is a critical point. OB. If (a,b) is one of the critical of f (x,y), then f is not defined on (a,b). OC. 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). O D. 0²f If f (x,y) has a minimum at point (a,b) then evaluated at (a,b) is positive. 0x²
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