Q1/ Use Lagrange multipliers to find any maximum or minimum volumes: i) z = f(x,y) = 5 – 3x – 4y and x2 + y2 = 25. ii) f(x,y,z) = 2x2 + 3y2 + 4z2 and x+y+z = 13.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Q1/ Use Lagrange multipliers to find any maximum or minimum
volumes:
i) z = f(x,y) = 5 – 3x – 4y and x² + y2 = 25.
ii) f(x,y,z) = 2x² + 3y² + 4z² and x+y+z = 13.
Transcribed Image Text:Q1/ Use Lagrange multipliers to find any maximum or minimum volumes: i) z = f(x,y) = 5 – 3x – 4y and x² + y2 = 25. ii) f(x,y,z) = 2x² + 3y² + 4z² and x+y+z = 13.
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