Find the local minimizers of: (a) f(x, y, z) = x² + 3y² +z subject to x² + y² +z² = 16. (b) f(x, y, z) = x² + 2xy+3y² +4x + 5y + 6z subject to x+2y= 3 and 4x + 5z = 6.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the local minimizers of:
(a) f(x, y, z) = x² + 3y² + z subject to x² + y² + z² = 16.
(b) f(x, y, z) = x² + 2xy +3y² + 4x + 5y +6z
subject to x + 2y = 3 and 4x + 5z = 6.
Transcribed Image Text:Find the local minimizers of: (a) f(x, y, z) = x² + 3y² + z subject to x² + y² + z² = 16. (b) f(x, y, z) = x² + 2xy +3y² + 4x + 5y +6z subject to x + 2y = 3 and 4x + 5z = 6.
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