1. What is the name of the Greek letter À that we use as a Lagrange multiplier? (a) Rho. (c) Tau. (d) Aleph. (e) None of the other choices. (b) Lambda. 2. If we want to maximize the function f(x, y, z) subject to the constraint equation g(x, y, z) = k, what is the size of the system of equations that we will set up if we use the method of Lagrange multipliers? (a) 2 equations in 3 variables. (b) 3 equations in 3 variables. (c) 3 equations in 4 variables. (d) 4 equations in 4 variables. (e) None of the other choices. 3. Referring to the system in question 2, which variable is it not necessary to find explicit values for? (a) x (h) x

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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1. What is the name of the Greek letter À that we use as a Lagrange multiplier?
(a) Rho.
(c) Tau. (d) Aleph.
(e) None of the other choices.
(b) Lambda.
2. If we want to maximize the function f(x, y, z) subject to the constraint equation
g(x, y, z) = k, what is the size of the system of equations that we will set up if we
use the method of Lagrange multipliers?
(a) 2 equations in 3 variables.
(b) 3 equations in 3 variables.
(c) 3 equations in 4 variables.
(d) 4 equations in 4 variables.
(e) None of the other choices.
3. Referring to the system in question 2, which variable is it not necessary to find explicit
values for?
(a) x. (b) y. (c) z. (d) 2.
(e) None of the other choices.
Transcribed Image Text:1. What is the name of the Greek letter À that we use as a Lagrange multiplier? (a) Rho. (c) Tau. (d) Aleph. (e) None of the other choices. (b) Lambda. 2. If we want to maximize the function f(x, y, z) subject to the constraint equation g(x, y, z) = k, what is the size of the system of equations that we will set up if we use the method of Lagrange multipliers? (a) 2 equations in 3 variables. (b) 3 equations in 3 variables. (c) 3 equations in 4 variables. (d) 4 equations in 4 variables. (e) None of the other choices. 3. Referring to the system in question 2, which variable is it not necessary to find explicit values for? (a) x. (b) y. (c) z. (d) 2. (e) None of the other choices.
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