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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? O O O 2x = 2X 2y = 3X 2z = -5A 2x = 2A 2y = 3X 27 = -5μ 2x + 3y - 5z +4=0 2x = 2 2y = 3X 2z = -5X 2x + 3y - 5z +4= 0 2x = 2 2y = 3X 2z = -5A x² + y² + z² = 0 2x + 3y − 5z +4=0

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? O O O 2x = 2X 2y = 3X 2z = -5A 2x = 2A 2y = 3X 27 = -5μ 2x + 3y - 5z +4=0 2x = 2 2y = 3X 2z = -5X 2x + 3y - 5z +4= 0 2x = 2 2y = 3X 2z = -5A x² + y² + z² = 0 2x + 3y − 5z +4=0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 = 2) 2y = 3X 2z = -5X 2x 2λ 2y = 3X 2z = -5м 2x + 3y - 5z + 4 = 0 2x = 2X 2y = 3X 2z = -5X 2x + 3y - 5z+4=0 2x 2y = 2z = -5A x² + y² + z² = 0 2x + 3y - 5z + 4 = 0 = 2X 3X
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 = 2) 2y = 3X 2z = -5X 2x 2λ 2y = 3X 2z = -5м 2x + 3y - 5z + 4 = 0 2x = 2X 2y = 3X 2z = -5X 2x + 3y - 5z+4=0 2x 2y = 2z = -5A x² + y² + z² = 0 2x + 3y - 5z + 4 = 0 = 2X 3X
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