f(x, y) = ez-2²-10-² Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. f₂ = 4e (4x)-2x fy=-10-2y fzz= 16e (4x)-2 fay=0 fyy = -2 9. 9. The critical point with the smallest x-coordinate is 11/ -5 ) Classification: local maximum The critical point with the next smallest z-coordinate is 11/2012 The critical point with the next smallest x-coordinate is i) Classification: (local maximum ) Classification: (local minimum, local maximum, saddle point, cannot be determined) (local minimum, local maximum, saddle point, cannpt be determined) (local minimum, local maximum, saddle point, cannot be determined)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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f(x, y) = ez-²-10y-y²
Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank.
fz = 4e (4x)-2x
fy=-10-2y
fzz = 16e (4x)-2
fry=0
fyy=-2
S
8
9.
9-
9-
8-
The critical point with the smallest x-coordinate is
-5
4) Classification: [local maximum
The critical point with the next smallest x-coordinate is
1-1/2012
-5
9. ) Classification: local maximum
The critical point with the next smallest x-coordinate is
4) Classification: [
(local minimum, local maximum, saddle point, cannot be determined)
(local minimum, local maximum, saddle point, cannpt be determined)
(local minimum, local maximum, saddle point, cannot be determined)
Transcribed Image Text:f(x, y) = ez-²-10y-y² Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fz = 4e (4x)-2x fy=-10-2y fzz = 16e (4x)-2 fry=0 fyy=-2 S 8 9. 9- 9- 8- The critical point with the smallest x-coordinate is -5 4) Classification: [local maximum The critical point with the next smallest x-coordinate is 1-1/2012 -5 9. ) Classification: local maximum The critical point with the next smallest x-coordinate is 4) Classification: [ (local minimum, local maximum, saddle point, cannot be determined) (local minimum, local maximum, saddle point, cannpt be determined) (local minimum, local maximum, saddle point, cannot be determined)
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