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Author Question: Find and classify all critical points for the function f(x, y) = x3 - 12xy2 + y3 + 45y. (Read 97 times)

tiara099

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on: May 27, 2021

Question 1

Find and classify all critical points for the function  f(x, y) = .
◦ (-1, 0); maximum
◦ (1, 0); minimum
◦ (0, 0); saddle
◦ (0, 0);  minimum
◦ There are no critical points.

Question 2

Find and classify all critical points for the function f(x, y) = x3 - 12xy2 + y3 + 45y.
◦ (2, 1) and (-2, -1) are saddle points
◦ (2, 1) is a local maximum and (-2, -1)  is a local minimum
◦ (2, 1),  (2, -1),  (-2, 1),  and (-2, -1) are saddle points
◦ (2, -1) and  (-2, 1)  are saddle points
◦ There are no critical points.
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Marked as best answer by tiara099 on May 27, 2021

mcarey591

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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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tiara099

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Reply 2 on: May 27, 2021
Gracias!

sultansheikh

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Reply 3 on: Yesterday
Great answer, keep it coming :)

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