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Author Question: A function f(x, y, z) has continuous first partial derivatives at all points in 3-space. Its ... (Read 32 times)

lunatika

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on: May 27, 2021

Question 1

Find the absolute maximum and minimum values of  f(x, y) = xy3 e-(x2 + y2)  on the semi-infinite strip ,  if these extreme values exist.
◦ maximum  ,   minimum  -
◦ maximum  ,   minimum  -
◦ maximum  ,   minimum  -
◦ maximum  ,   minimum  0
◦ no extreme values exist

Question 2

A function  f(x, y, z)  has continuous first partial derivatives at all points in 3-space.  Its restriction to a closed, bounded domain  R  is identically zero on the boundary of  R, but has the values  5  and  -3   at two interior points of  R.  What is the smallest number of critical points that  f  must have in the interior of  R?
◦ 0
◦ 2
◦ 4
◦ 3
◦ 1
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Marked as best answer by lunatika on May 27, 2021

momtoalll

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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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lunatika

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

softEldritch

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Reply 3 on: Yesterday
Wow, this really help

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