Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint a2 + y? + z² = 2430. Türkçe: f(x, y, z) = 8x – 16y + 40z fonksiyonunun a? + y? + z² = 2430 kısıtlaması altında maksimum ve minimu değerlerini bulunuz. -720 min , 2160 max -720 min , 720 max O -1440 min , 2160 max -1440 min , 720 max -1440 min , 1440 max -720 min , 3600 max -2160 min , 1440 max -2160 min , 2160 max

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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Find maximum and minumum values of
f(r, y, z) = 8x – 16y + 40z subject to the constraint
x² + y? + z² = 2430.
Türkçe:
f(x, Y, z) = 8x – 16y + 40z fonksiyonunun
x? + y? + z? = 2430 kısıtlaması altında maksimum ve minimum
değerlerini bulunuz.
O -720 min , 2160 max
-720 min , 720 max
-1440 min , 2160 max
O -1440 min , 720 max
O -1440 min , 1440 max
-720 min , 3600 max
O -2160 min , 1440 max
-2160 min , 2160 max
Transcribed Image Text:Find maximum and minumum values of f(r, y, z) = 8x – 16y + 40z subject to the constraint x² + y? + z² = 2430. Türkçe: f(x, Y, z) = 8x – 16y + 40z fonksiyonunun x? + y? + z? = 2430 kısıtlaması altında maksimum ve minimum değerlerini bulunuz. O -720 min , 2160 max -720 min , 720 max -1440 min , 2160 max O -1440 min , 720 max O -1440 min , 1440 max -720 min , 3600 max O -2160 min , 1440 max -2160 min , 2160 max
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