(9 points) Consider the function z = xy + 54x8 - 10077696y. Find and classify all...

 

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(9 points) Consider the function z = x³y + 54x8 - 10077696y. Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. The critical point with the smallest x-coordinate is ( ) Classification: determined) The critical point with the next smallest x-coordinate is ( ) Classification: determined) The critical point with the next smallest x-coordinate is ) Classification: determined) (9 points) Consider the function z = x³y + 54x8 - 10077696y. Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. The critical point with the smallest x-coordinate is ( ) Classification: determined) The critical point with the next smallest x-coordinate is ( ) Classification: determined) The critical point with the next smallest x-coordinate is ) Classification: determined)