Question

Consider the function f(x,y) = (8x - x^2)(6y - y^2). Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. f_x = f_y = f_{xx} = f_{xy} = f_{yy} = There are several critical points to be listed. List them lexicographically, 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)

          Consider the function
f(x,y) = (8x - x^2)(6y - y^2).
Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. f_x = 
f_y = 
f_{xx} = 
f_{xy} = 
f_{yy} = 
There are several critical points to be listed. List them lexicographically, 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)

Consider the function
f(x,y) = (8x - x^2)(6y - y^2).
Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fx =
fy =
fxx =
fxy =
fyy =
There are several critical points to be listed. List them lexicographically, 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)

Added by James R.

Question

Please give Ace some feedback