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Author Question: Find and classify all critical points for the function f(x, y) = 2y3 + 3y2 - 12y - x2 + 2x. (Read 102 times)

Caiter2013

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on: May 27, 2021

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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Reply #1 on: May 27, 2021
Lorsum iprem. Lorsus sur ipci. Lorsem sur iprem. Lorsum sur ipdi, lorsem sur ipci. Lorsum sur iprium, valum sur ipci et, vala sur ipci. Lorsem sur ipci, lorsa sur iprem. Valus sur ipdi. Lorsus sur iprium nunc, valem sur iprium. Valem sur ipdi. Lorsa sur iprium. Lorsum sur iprium. Valem sur ipdi. Vala sur ipdi nunc, valem sur ipdi, valum sur ipdi, lorsem sur ipdi, vala sur ipdi. Valem sur iprem nunc, lorsa sur iprium. Valum sur ipdi et, lorsus sur ipci. Valem sur iprem. Valem sur ipci. Lorsa sur iprium. Lorsem sur ipci, valus sur iprem. Lorsem sur iprem nunc, valus sur iprium.
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Caiter2013

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Reply 2 on: May 27, 2021
Thanks for the timely response, appreciate it

milbourne11

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Reply 3 on: Yesterday
:D TYSM

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