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)
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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb232dbf3-87c8-40c1-ad6d-cab85c52dec2%2Fa3aaf2a8-de32-4c9a-8483-3b591a71d819%2Fpnfp1h_processed.jpeg&w=3840&q=75)
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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