Let f(x, y) = y. Which one of the following systems of equations represents the Lagrange multiplier condition that must be satisfied at a point that maximises or minimises f subject to the constraint x² + y² = 4? -=A2y - = A2z x² + y² = 4 -=X2x -=X2y x² + y² = 4 X2u

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Let f(x, y) = y. Which one of the following systems of equations represents the Lagrange
multiplier condition that must be satisfied at a point that maximises or minimises f subject to the
constraint x² + y² = 4?
O
= X2y
24 = λ2x
x² + y² = 4
-
= x2x
-
= x2y
x² + y² = 4
- // = x2y
-
X2x
x² + y² = 4
= 12x
-
X2y
x² + y² = 4
=
Transcribed Image Text:Let f(x, y) = y. Which one of the following systems of equations represents the Lagrange multiplier condition that must be satisfied at a point that maximises or minimises f subject to the constraint x² + y² = 4? O = X2y 24 = λ2x x² + y² = 4 - = x2x - = x2y x² + y² = 4 - // = x2y - X2x x² + y² = 4 = 12x - X2y x² + y² = 4 =
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