Consider the problem of maximizing the algebraic expression q given by q = V6 – (x + 2)² – y² subject to the constraint x²-y²-4y = 8, using the Lagrange multiplier technique. Solving the system corresponding to this problem yields the following relationship between the variables: y + 2 A) x = y +1 -x – 2 B) y = x +1 x + 2 C) y = x +1 x = Y- 2 y +1 D)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the problem of maximizing the algebraic expression q given by
q = V6 – (x+2)² – y?
subject to the constraint x'-y?-4y = 8, using the Lagrange multiplier
technique. Solving the system corresponding to this problem yields the
following relationship between the variables:
y + 2
y + 1
A)
-x – 2
B) y =
x +1
x + 2
C) y =
x +1
y – 2
D) x =
y +1
Transcribed Image Text:Consider the problem of maximizing the algebraic expression q given by q = V6 – (x+2)² – y? subject to the constraint x'-y?-4y = 8, using the Lagrange multiplier technique. Solving the system corresponding to this problem yields the following relationship between the variables: y + 2 y + 1 A) -x – 2 B) y = x +1 x + 2 C) y = x +1 y – 2 D) x = y +1
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