Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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ii) Find all seven solution candidates for maximising
subject to
f(x, y, z) = x² + 4y² +9z²
g(x, y, z) = x² + y² + z² ≤ 1
<
by forming the relevant Lagrangian and applying the first order conditions and the comple-
mentary slackness condition. For which solution candidates is the constraint binding, and
what is the maximum?
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Transcribed Image Text:ii) Find all seven solution candidates for maximising subject to f(x, y, z) = x² + 4y² +9z² g(x, y, z) = x² + y² + z² ≤ 1 < by forming the relevant Lagrangian and applying the first order conditions and the comple- mentary slackness condition. For which solution candidates is the constraint binding, and what is the maximum?
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