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Find the minimum and maximum points of on the sphere f(x, y, z) = 2x - 4y + 4z +10 x² + y² + z² = 16 and the value of f at those points.

Find the minimum and maximum points of on the sphere f(x, y, z) = 2x - 4y + 4z +10 x² + y² + z² = 16 and the value of f at those points.

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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I am struggling with this question. What’s is the minimum point ,aswell as the maximum point .
Find the minimum and maximum points of on the sphere f(x, y, z) = 2x - 4y + 4z +10 a. and the value of f at those points. x² + y² + z² = 16 Minimum point: (x, y, z) min ab ab sin (a) Minimum value: f(x, y, z) min sin (a) Show/hide Ә əx Ә ar f f
Transcribed Image Text:Find the minimum and maximum points of on the sphere f(x, y, z) = 2x - 4y + 4z +10 a. and the value of f at those points. x² + y² + z² = 16 Minimum point: (x, y, z) min ab ab sin (a) Minimum value: f(x, y, z) min sin (a) Show/hide Ә əx Ә ar f f
Find the minimum and maximum points of on the sphere f(x, y, z) = 2x - 4y + 4z +10 x² + y² + z² = 16 and the value of f at those points.
Transcribed Image Text:Find the minimum and maximum points of on the sphere f(x, y, z) = 2x - 4y + 4z +10 x² + y² + z² = 16 and the value of f at those points.
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