Consider the function f(x, y) = (4x-x²) (2y - y²). Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fz = fy= frr = fay= fwy = There are several critical points to be listed. List them lexicograhically, that is in ascending order by x-coordinates, and for equal x-coordinates in ascending order (e.g., (1,1), (2, -1), (2, 3) is a correct order) 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, cannot be determined) The critical point with the next smallest x-coordinate is Classification: (local minimum, local maximum, saddle point, cannot be determined)
Consider the function f(x, y) = (4x-x²) (2y - y²). Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fz = fy= frr = fay= fwy = There are several critical points to be listed. List them lexicograhically, that is in ascending order by x-coordinates, and for equal x-coordinates in ascending order (e.g., (1,1), (2, -1), (2, 3) is a correct order) 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, cannot be determined) The critical point with the next smallest x-coordinate is Classification: (local minimum, local maximum, saddle point, cannot be determined)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Related questions
Question
![Consider the function
f(x, y) = (4x-x²) (2y - y²).
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 =
fry =
fw =
There are several critical points to be listed. List them lexicograhically, that is in ascending order by x-coordinates, and for equal x-coordinates in ascending order by y-coordinates
(e.g., (1,1), (2, -1), (2, 3) is a correct order) 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, cannot be determined)
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)
The critical point with the next smallest x-coordinate is
Classification: [ (local minimum, local maximum, saddle point, cannot be determined)
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f252638-0865-4e10-b890-ee416dfe8cab%2F3546b643-d196-4398-84e5-1b6b0f01361a%2F8v1l4t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the function
f(x, y) = (4x-x²) (2y - y²).
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 =
fry =
fw =
There are several critical points to be listed. List them lexicograhically, that is in ascending order by x-coordinates, and for equal x-coordinates in ascending order by y-coordinates
(e.g., (1,1), (2, -1), (2, 3) is a correct order) 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, cannot be determined)
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)
The critical point with the next smallest x-coordinate is
Classification: [ (local minimum, local maximum, saddle point, cannot be determined)
4
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