17) Suppose we want to optimize the function V = (x – 1)2 + (y+ 1)² + (z – 1) ², subject to Restriction 4x + 3y + z = 2, using the Lagrange multipliers technique. If A corresponds to the multiplier used when defining the Lagrange function, then one of the equations of the system to be solved corresponds to: A) 2(y + 1) = 3| B) 2(x - 1) = 3A C) z - 1 - A = 0 D) 4x + 3y + z = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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17) Answer the question shown in the image 

17) Suppose we want to optimize the function
V = (x – 1)2 + (y + 1)² + (z – 1) ?, subject to
Restriction 4x + 3y + z = 2, using the Lagrange
multipliers technique. If A corresponds to the
multiplier used when defining the Lagrange
function, then one of the equations of the
system to be solved
corresponds to:
A) 2(y + 1) = 3A
B) 2(x - 1) = 3A
C) z - 1 - A = 0
D) 4x + 3y + z = 0
Transcribed Image Text:17) Suppose we want to optimize the function V = (x – 1)2 + (y + 1)² + (z – 1) ?, subject to Restriction 4x + 3y + z = 2, using the Lagrange multipliers technique. If A corresponds to the multiplier used when defining the Lagrange function, then one of the equations of the system to be solved corresponds to: A) 2(y + 1) = 3A B) 2(x - 1) = 3A C) z - 1 - A = 0 D) 4x + 3y + z = 0
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