) Consider the function f(x, y) = e cos(2y). Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. f₂ = fy= faz = fry = 8. 4. The critical point with the smallest x-coordinate is Classification ✔ The critical point with the next smallest x-coordinate is 4 Classification The critical point with the next smallest x-coordinate is ) Classification: local minimum local maximum saddle point cannot be determined ocal minimum, local maximum, saddle point, cannot be determined) ocal minimum, local maximum, saddle point, cannot be determined) (local minimum, local maximum, saddle point, cannot be determined)

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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t) Consider the function
f(x, y) = e cos(2y).
Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank.
fz =
fy=
fzz =
9.
8.
8.
fry =
fyy=
The critical point with the smallest x-coordinate is
8.
) Classification ✓
The critical point with the next smallest x-coordinate is
) Classification
The critical point with the next smallest x-coordinate is
8.
9.
Classification:
A
local minimum
local maximum
saddle point
cannot be determined
ocal minimum, local maximum, saddle point, cannot be determined)
ocal minimum, local maximum, saddle point, cannot be determined)
(local minimum, local maximum, saddle point, cannot be determined)
Transcribed Image Text:t) Consider the function f(x, y) = e cos(2y). Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fz = fy= fzz = 9. 8. 8. fry = fyy= The critical point with the smallest x-coordinate is 8. ) Classification ✓ The critical point with the next smallest x-coordinate is ) Classification The critical point with the next smallest x-coordinate is 8. 9. Classification: A local minimum local maximum saddle point cannot be determined ocal minimum, local maximum, saddle point, cannot be determined) ocal minimum, local maximum, saddle point, cannot be determined) (local minimum, local maximum, saddle point, cannot be determined)
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