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Author Question: Find and classify all critical points for the function f(x, y) = 2y3 + 3y2 - 12y - x2 + 2x. (Read 36 times)

Caiter2013

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Question 1

Find the maximum and minimum values of  f(x, y) = (x - y) e-(x2 + y2).
◦ maximum  e1/2,  minimum  - e1/2
◦ maximum e-1/2,  minimum  - e-1/2
◦ maximum 2 e-1/2,  minimum  0
◦ maximum  e-1/2,  minimum  0
◦ maximum  e-1/2,  minimum  -e-1/2

Question 2

Find and classify all critical points for the function f(x, y) = 2y3 + 3y2 - 12y - x2 + 2x.
◦ (1, -2)  local maximum;  (1, 1) local maximum
◦ (-1, 2)  saddle point;  (1, 1) saddle point
◦ (1, -2)  local maximum;  (1, 1) saddle point
◦ (1, -2)  local minimum;  (1, 1) local minimum
◦ (1, -2)  local maximum;  (1, 1) local minimum


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Marked as best answer by Caiter2013 on May 27, 2021

dawsa925

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Caiter2013

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Reply 2 on: May 27, 2021
Great answer, keep it coming :)


diana chang

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Reply 3 on: Yesterday
Thanks for the timely response, appreciate it

 

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