Find maximum and minumum values of f(x, Y, z) = 8x – 16y +40z subject to constraint x2 + y? + z2 = 480.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find maximum and minumum values of f(x, y, z) = 8x – 16y +40z subject to the
constraint x2 + y? + z? = 480.
Transcribed Image Text:Find maximum and minumum values of f(x, y, z) = 8x – 16y +40z subject to the constraint x2 + y? + z? = 480.
O 1280 min , 960 max
O -960 min ,640 max
O -960 min ,960 max
O - 320 min ,960 max
O -640 min, 320 max
O -640 min ,960 max
O - 320 min , 320 max
O -640 min,
640 max
Transcribed Image Text:O 1280 min , 960 max O -960 min ,640 max O -960 min ,960 max O - 320 min ,960 max O -640 min, 320 max O -640 min ,960 max O - 320 min , 320 max O -640 min, 640 max
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