Solve the following and show the complete solution. 2. Using Lagrange multipliers, find three positive numbers whose sum is 18 and such that the sum of their squares is as small as possible. Give the sum of the squares. /

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter6: Linear Systems
Section6.8: Linear Programming
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Solve the following and show the complete solution.
2. Using Lagrange multipliers, find three positive numbers whose sum is 18
and such that the sum of their squares is as small as possible. Give the
sum of the squares./
Transcribed Image Text:Solve the following and show the complete solution. 2. Using Lagrange multipliers, find three positive numbers whose sum is 18 and such that the sum of their squares is as small as possible. Give the sum of the squares./
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