Find the maximum and minimum values of the function f(x, y, z) = x³y²z² subject to the constraint x² + y² + ² = 81. Maximum value is 27 ,occuring at (9, 9, 9) points (positive integer or "infinitely many"). points (positive integer or "infinitely Minimum value is -27 many"). ,occuring at (-9, -9, -9)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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22
Find the maximum and minimum values of the function f(x, y, z) = x²y²z² subject to the constraint x² + y² + ² = 81. Maximum
value is 27
,occuring at (9, 9, 9)
points (positive integer or "infinitely many").
points (positive integer or "infinitely
Minimum value is -27
many").
occuring at (-9, -9, -9)
Transcribed Image Text:22 Find the maximum and minimum values of the function f(x, y, z) = x²y²z² subject to the constraint x² + y² + ² = 81. Maximum value is 27 ,occuring at (9, 9, 9) points (positive integer or "infinitely many"). points (positive integer or "infinitely Minimum value is -27 many"). occuring at (-9, -9, -9)
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