Let T(x, y, z) = x² + y² + z² and h(x, y, z) = 2x + 3y - 5z + 4. Which one of following systems of equations represents the Lagrange multiplier condition that must satisfied by a point that maximises or minimises T subject to h(x, y, z) = 0? 2x = 2X 2y = 3X 2z = -5A 2x+3y5z +4=0 2x = 2X 2y = 3X 2z = -5A 2x = 2X 2y = 3A 2z = -5X x² + y² + ² = 0 2x + 3y - 5z +4=0 2x = 2X 2y = 3X

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let T(x, y, z) = x² + y² + z² and h(x, y, z) = 2x + 3y - 5z + 4. Which one of the
following systems of equations represents the Lagrange multiplier condition that must be
satisfied by a point that maximises or minimises T subject to h(x, y, z) = 0?
2x = 2X
2y = 3X
2z = -5A
2x + 3y5z +4=0
2x = 2X
2y = 3X
2z = -5A
2x = 2X
2y = 3A
2z = -5X
x² + y² + ² = 0
2x + 3y - 5z + 4 = 0
2x = 2X
2y = 3X
2z = -5μ
2x+3y5z +4=0
Transcribed Image Text:Let T(x, y, z) = x² + y² + z² and h(x, y, z) = 2x + 3y - 5z + 4. Which one of the following systems of equations represents the Lagrange multiplier condition that must be satisfied by a point that maximises or minimises T subject to h(x, y, z) = 0? 2x = 2X 2y = 3X 2z = -5A 2x + 3y5z +4=0 2x = 2X 2y = 3X 2z = -5A 2x = 2X 2y = 3A 2z = -5X x² + y² + ² = 0 2x + 3y - 5z + 4 = 0 2x = 2X 2y = 3X 2z = -5μ 2x+3y5z +4=0
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