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Author Question: Find the maximum and minimum values of f(x, y) = x2 + 3y2 + 2y on the disk x2 + y2 1. Use Lagrange ... (Read 28 times)

anjilletteb

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Question 1

Use Lagrange multipliers to find the extreme values  of f(x, y) = x2 + 3y2 + 2y on the unit circle .
◦ maximum  6,   minimum  0
◦ maximum  6,   minimum  -
◦ maximum  5,   minimum  
◦ maximum  5,   minimum  -
◦ maximum  5,   minimum  1

Question 2

Find the maximum and minimum values of  f(x, y) = x2 + 3y2 + 2y  on the disk  x2 + y2 ≤  1.  Use Lagrange multipliers to handle the boundary analysis.
◦ maximum  5,   minimum  
◦ maximum  5,   minimum  
◦ maximum  5,   minimum  -
◦ maximum  6,   minimum  0
◦ maximum  6,   minimum  -


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Marked as best answer by anjilletteb on May 27, 2021

vboyd24

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anjilletteb

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Reply 2 on: May 27, 2021
Wow, this really help


coreycathey

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

 

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