1) Find the maximum and minimum of f(x, y) = 16x² + y² subject to the constraint 4x² + y² = 16. Set up and solve using both methods.
1) Find the maximum and minimum of f(x, y) = 16x² + y² subject to the constraint 4x² + y² = 16. Set up and solve using both methods.
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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Solve #1 using partial derivatives
Transcribed Image Text:1) Find the maximum and minimum of f(x, y) = 16x² + y² subject to the constraint
4x² + y² = 16. Set up and solve using both methods.
2) Find the dimensions of the box with a volume of 500 cm3 using the least amount of
material. Set up and solve using the LaGrange method.
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