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Solve the problem maxx + 4y + z subject to x² + y² + z² = 216 and x + 2y + 3z = 0

Solve the problem maxx + 4y + z subject to x² + y² + z² = 216 and x + 2y + 3z = 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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4. (a) Solve the problem maxx + 4y + z subject to x² + y² + z² = 216 and x + 2y + 3x = 0 (b) Change the first constraint to x² + y² + z² = 215 and the second to x+2y+3z = 0.1. Estimate the corresponding change in the maximum value by using equation (10) from the textbook in Chapter 3, section 3.
Transcribed Image Text:4. (a) Solve the problem maxx + 4y + z subject to x² + y² + z² = 216 and x + 2y + 3x = 0 (b) Change the first constraint to x² + y² + z² = 215 and the second to x+2y+3z = 0.1. Estimate the corresponding change in the maximum value by using equation (10) from the textbook in Chapter 3, section 3.
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