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Suppose that you are using the method of Lagrange multipliers to minimize the function f(x, y) = xy subject to the constraint x + y = 8. Then the system you need to solve in order to find the solution is the following: Select one: F = x + 2y1 = 0, F, 3D у+ 2х1 %3D 0, F; = x + y – 8 = 0. O a. F; = y + 2x1 = 0, O b.{ F, = x + 2yd = 0, F; = x² + y² – 8 = 0. F = 2y + 2x1 = 0, О с. Fy = 2x + 2yd = 0, F; = x² + y² – 8 = 0. Fx = 2x + 2y1 = 0, O d. { F, = 2y + 2x1 = 0, F; = x² + y² – 8 = 0. O e. None of the above

Suppose that you are using the method of Lagrange multipliers to minimize the function f(x, y) = xy subject to the constraint x + y = 8. Then the system you need to solve in order to find the solution is the following: Select one: F = x + 2y1 = 0, F, 3D у+ 2х1 %3D 0, F; = x + y – 8 = 0. O a. F; = y + 2x1 = 0, O b.{ F, = x + 2yd = 0, F; = x² + y² – 8 = 0. F = 2y + 2x1 = 0, О с. Fy = 2x + 2yd = 0, F; = x² + y² – 8 = 0. Fx = 2x + 2y1 = 0, O d. { F, = 2y + 2x1 = 0, F; = x² + y² – 8 = 0. O e. None of the above

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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Suppose that you are using the method of Lagrange multipliers to minimize the function f(x, y) = xy subject to the constraint x + y = 8. Then the system you need to solve in order to find the solution is the following: Select one: Fx = x + 2yd = 0, Fy = y + 2x1 = 0, F = x² + y² – 8 = 0. х O a. Fx = y + 2x1 = 0, O b.- F, = x + 2y1 = 0, F = x² + y – 8 = 0. F = 2y + 2x1 = 0, F, = 2x + 2y1 = 0, F = x² + y - 8 = 0. F = 2x + 2y1 = 0, O d.- F, = 2y + 2xÀ = 0, F = x² + y – 8 = 0. O e. None of the above
Transcribed Image Text:Suppose that you are using the method of Lagrange multipliers to minimize the function f(x, y) = xy subject to the constraint x + y = 8. Then the system you need to solve in order to find the solution is the following: Select one: Fx = x + 2yd = 0, Fy = y + 2x1 = 0, F = x² + y² – 8 = 0. х O a. Fx = y + 2x1 = 0, O b.- F, = x + 2y1 = 0, F = x² + y – 8 = 0. F = 2y + 2x1 = 0, F, = 2x + 2y1 = 0, F = x² + y - 8 = 0. F = 2x + 2y1 = 0, O d.- F, = 2y + 2xÀ = 0, F = x² + y – 8 = 0. O e. None of the above
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