1. Find the relative maximum of f(x, y) = 3xy subject to the constraint x + 2y = 8. 2. Find the relative minimum of f(x,y) = x² + 2y² - xy subject to the constraint x + y = 3. Find the relative extrema of f(x, y) = x² - y² subject to the constraint x² + y² = 25. 4. Find the relative extrema of f(x, y) = 4x³ + y² subject to the constraint 2x² + y² = 5. Find the relative extrema of f(x, y, z) = 3x + 6y + 2z subject to the constraint 2x² + 4y² + z² = 70.

1. Find the relative maximum of f(x, y) = 3xy subject to the constraint x + 2y = 8. 2. Find the relative minimum of f(x,y) = x² + 2y² - xy subject to the constraint x + y = 3. Find the relative extrema of f(x, y) = x² - y² subject to the constraint x² + y² = 25. 4. Find the relative extrema of f(x, y) = 4x³ + y² subject to the constraint 2x² + y² = 5. Find the relative extrema of f(x, y, z) = 3x + 6y + 2z subject to the constraint 2x² + 4y² + z² = 70.

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

See similar textbooks