Go to Post WE might have a different plan than being overweight, but thats just my guess - pakrat [more]
Home
Go Back   Chief Delphi > Other > Math and Science
CD-Media   CD-Spy  
portal register members calendar search Today's Posts Mark Forums Read FAQ rules

 
 
 
Thread Tools Rate Thread Display Modes
Prev Previous Post   Next Post Next
  #1   Spotlight this post!  
Unread 25-11-2006, 23:52
Astronouth7303's Avatar
Astronouth7303 Astronouth7303 is offline
Why did I come back?
AKA: Jamie Bliss
FRC #4967 (That ONE Team)
Team Role: Mentor
 
Join Date: Jan 2004
Rookie Year: 2004
Location: Grand Rapids, MI
Posts: 2,071
Astronouth7303 has much to be proud ofAstronouth7303 has much to be proud ofAstronouth7303 has much to be proud ofAstronouth7303 has much to be proud ofAstronouth7303 has much to be proud ofAstronouth7303 has much to be proud ofAstronouth7303 has much to be proud ofAstronouth7303 has much to be proud ofAstronouth7303 has much to be proud ofAstronouth7303 has much to be proud of
Lagrange Multipliers

Ok, I'm having a problem understanding a question about Lagrange Multipliers.

Given the function f(x, y) = 16 − x2y2 and the constraint (x − 1)2 + (y − 1)2 = 4, find the maximum and minimum.

I've reduced it to the system:
  1. -2x = λ∙2x
  2. -2y = λ∙2y
  3. (x − 1)2 + (y − 1)2 = 4

There are a few ways to solve this:
  • Assume λ = -1, which gets you nowhere
  • Assume x = 0, for which y = 1 ± √3
  • Assume y = 0, for which x = 1 ± √3

I know that the real answer is when x = y, but I can't get that going forwards.

Anyone have suggestions as to how to approach it?
Reply With Quote
 


Thread Tools
Display Modes Rate This Thread
Rate This Thread:

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

vB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Forum Jump

Similar Threads
Thread Thread Starter Forum Replies Last Post
All these time multipliers.... archiver 2001 0 24-06-2002 02:53
Multipliers (SC6 and SC7) archiver 2001 2 23-06-2002 22:43
How do multipliers combine??? archiver 2001 2 23-06-2002 22:40


All times are GMT -5. The time now is 12:08.

The Chief Delphi Forums are sponsored by Innovation First International, Inc.


Powered by vBulletin® Version 3.6.4
Copyright ©2000 - 2017, Jelsoft Enterprises Ltd.
Copyright © Chief Delphi