Consider the function f(z,y) = e cos(8y). Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fz = fz = fzy= fyy= The critical point with the smallest x-coordinate is )Classification: (local minimum, local maximum, saddle point, cannot be determined) The critical point with the next smallest x-coordinate is ) Classification: (local minimum, local maximum, saddle point, car be deter ed) The critical point with the next smallest x-coordinate is )Classification: (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
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Consider the function
f(z, y) = e
cos(8y).
Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank.
fz =
fy =
fz =
fry =
fyy =
The critical point with the smallest x-coordinate is
) Classification:
(local minimum, local maximum, saddle point, cannot be detemined)
The critical point with the next smallest x-coordinate is
) Classification:
(local minimum, local maximum, saddle point, cannot be determined)
The critical point with the next smallest x-coordinate is
) Classification:
(local minimum, local maximum, saddle point, cannot be determined)
Transcribed Image Text:Consider the function f(z, y) = e cos(8y). Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fz = fy = fz = fry = fyy = The critical point with the smallest x-coordinate is ) Classification: (local minimum, local maximum, saddle point, cannot be detemined) The critical point with the next smallest x-coordinate is ) Classification: (local minimum, local maximum, saddle point, cannot be determined) The critical point with the next smallest x-coordinate is ) Classification: (local minimum, local maximum, saddle point, cannot be determined)
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