f(x, y) = (8x-x²) (10y - y²). Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. f = fy= fzz = fry = fyy 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: be determined) The critical point with the next smallest x-coordinate is ( ) Classification: be determined) The critical point with the next smallest x-coordinate is ( ) Classification: be determined) The critical point with the next smallest x-coordinate is ( ) Classification: be determined) (local minimum, local maximum, saddle point, cannot (local minimum, local maximum, saddle point, cannot (local minimum, local maximum, saddle point, cannot (local minimum, local maximum, saddle point, cannot

f(x, y) = (8x-x²) (10y - y²). Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. f = fy= fzz = fry = fyy 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: be determined) The critical point with the next smallest x-coordinate is ( ) Classification: be determined) The critical point with the next smallest x-coordinate is ( ) Classification: be determined) The critical point with the next smallest x-coordinate is ( ) Classification: be determined) (local minimum, local maximum, saddle point, cannot (local minimum, local maximum, saddle point, cannot (local minimum, local maximum, saddle point, cannot (local minimum, local maximum, saddle point, cannot

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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