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4. Consider fCZry)= 2zy-x3y-2y? defined on square R={ tsxsl,1sys!} critical pointy Ca) How many 6f R? o in the intenior (6) Out of thnere interiar cnitical pointo ,how Many are: lo cal marimums? o local minimums ? o Saddle pointh? O (c) (mu (tiple cuoice) the of fary): g lobal minimum A. Occun at an interior canical point B. O ccurs at not a interiar poinr which s ar curitical point C. ocan on boundeng of R g D. is not acuieved

4. Consider fCZry)= 2zy-x3y-2y? defined on square R={ tsxsl,1sys!} critical pointy Ca) How many 6f R? o in the intenior (6) Out of thnere interiar cnitical pointo ,how Many are: lo cal marimums? o local minimums ? o Saddle pointh? O (c) (mu (tiple cuoice) the of fary): g lobal minimum A. Occun at an interior canical point B. O ccurs at not a interiar poinr which s ar curitical point C. ocan on boundeng of R g D. is not acuieved

Advanced Engineering Mathematics
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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4. Consider fC ry)= 2zy-x3y=2y² sl,1kys!} defined on square R={Y zC Ca) How many 6f R? o %3D Critical poiny in the interior (6) Out of e the re interiar critical point , how Many are: lo cal marimums? o local minimums ? o Saddle points? o (c) (Mu (tiple cuoire> the global minimum of fGe,y) : A. OCcun at an interior cainical poin & B. O ccurs at ar inteniar poinr which ☺ not a curitical point C. ocan on bounding f R D. is not acuieved
Transcribed Image Text:4. Consider fC ry)= 2zy-x3y=2y² sl,1kys!} defined on square R={Y zC Ca) How many 6f R? o %3D Critical poiny in the interior (6) Out of e the re interiar critical point , how Many are: lo cal marimums? o local minimums ? o Saddle points? o (c) (Mu (tiple cuoire> the global minimum of fGe,y) : A. OCcun at an interior cainical poin & B. O ccurs at ar inteniar poinr which ☺ not a curitical point C. ocan on bounding f R D. is not acuieved
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