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1/3 Determine the maximum value of ƒ(x, y, z) = (xyz)¹/³ given that x, y, and z are nonnegative numbers and x + y + z = 8. a) b) The maximum is The maximum is d) The maximum is The maximum is 8 There is no maximum. f) None of these. 3 2√6 3 8 2√2 3 .

1/3 Determine the maximum value of ƒ(x, y, z) = (xyz)¹/³ given that x, y, and z are nonnegative numbers and x + y + z = 8. a) b) The maximum is The maximum is d) The maximum is The maximum is 8 There is no maximum. f) None of these. 3 2√6 3 8 2√2 3 .

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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1/3 Determine the maximum value of f(x, y, z) = (xyz)¹/³ given that x, y, and z are nonnegative numbers and x + y + z = = 8. a) b) The maximum is c) d) The maximum is f) The maximum is There is no maximum. The maximum is 8 3* None of these. 2√6 3 9. 2√2 3
Transcribed Image Text:1/3 Determine the maximum value of f(x, y, z) = (xyz)¹/³ given that x, y, and z are nonnegative numbers and x + y + z = = 8. a) b) The maximum is c) d) The maximum is f) The maximum is There is no maximum. The maximum is 8 3* None of these. 2√6 3 9. 2√2 3
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