Find the maximum of f(x, y, z) = x + y + z subject to the two constraints x² + y² + z² = 9 1 + y² + 4z² = 9. 1 and

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The task is to find the maximum of the function \( f(x, y, z) = x + y + z \) subject to the two constraints:

1. \( x^2 + y^2 + z^2 = 9 \)
2. \( \frac{1}{4}x^2 + \frac{1}{4}y^2 + 4z^2 = 9 \)
Transcribed Image Text:The task is to find the maximum of the function \( f(x, y, z) = x + y + z \) subject to the two constraints: 1. \( x^2 + y^2 + z^2 = 9 \) 2. \( \frac{1}{4}x^2 + \frac{1}{4}y^2 + 4z^2 = 9 \)
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