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Use Lagrange Multipliers to find the volume of the largest open-top box that has 120 m² of surface area, and 70 m of edge length (sum of all edges). Recall that for two constraint functions 9₁, 92, the method of Lagrange multipliers states that Vf=X₁Vg₁ + A₂Vg2-

Use Lagrange Multipliers to find the volume of the largest open-top box that has 120 m² of surface area, and 70 m of edge length (sum of all edges). Recall that for two constraint functions 9₁, 92, the method of Lagrange multipliers states that Vf=X₁Vg₁ + A₂Vg2-

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Draw the box and show how to get the edge lenght and surface area equation from it 

Use Lagrange Multipliers to find the volume of the largest open-top box that has 120 m² of surface area, and 70 m of edge length (sum of all edges). Recall that for two constraint functions 9₁, 92, the method of Lagrange multipliers states that Vf=A₁Vg₁ + A₂Vg2.
Transcribed Image Text:Use Lagrange Multipliers to find the volume of the largest open-top box that has 120 m² of surface area, and 70 m of edge length (sum of all edges). Recall that for two constraint functions 9₁, 92, the method of Lagrange multipliers states that Vf=A₁Vg₁ + A₂Vg2.
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