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3. In this function, we're going to minimise the function f(x, y) = x² + y² subject to the constraint (x - 1)² = 0. a) Try using Lagrange multipliers to solve this problem. This procedure will NOT work! b) Nevertheless, find the minimum value of f on this constraint. c) Your lecturer has given you a "proof," explaining why Lagrange multipliers does work! Explain why it failed in this case.

3. In this function, we're going to minimise the function f(x, y) = x² + y² subject to the constraint (x - 1)² = 0. a) Try using Lagrange multipliers to solve this problem. This procedure will NOT work! b) Nevertheless, find the minimum value of f on this constraint. c) Your lecturer has given you a "proof," explaining why Lagrange multipliers does work! Explain why it failed in this case.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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3. In this function, we're going to minimise the function f(x, y) = x² + y² subject to the constraint (x - 1)² = 0. a) Try using Lagrange multipliers to solve this problem. This procedure will NOT work! b) Nevertheless, find the minimum value of f on this constraint. c) Your lecturer has given you a "proof," explaining why Lagrange multipliers does work! Explain why it failed in this case.
Transcribed Image Text:3. In this function, we're going to minimise the function f(x, y) = x² + y² subject to the constraint (x - 1)² = 0. a) Try using Lagrange multipliers to solve this problem. This procedure will NOT work! b) Nevertheless, find the minimum value of f on this constraint. c) Your lecturer has given you a "proof," explaining why Lagrange multipliers does work! Explain why it failed in this case.
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