9. Using calculus to show minimum and maximum values taken by functions, find and prove(Create your own numerical example to show mathematically): a) For a fixed positive sum of two numbers, when is their product maximum ? b) For a fixed positive sum of two numbers, can you say anything about wen their product is minimum? c) For a fixed positive product of two numbers, when is their sum minimum? d) For a fixed positive product of two numbers, can you say anything about when the sum is maximum?

9. Using calculus to show minimum and maximum values taken by functions, find and prove(Create your own numerical example to show mathematically): a) For a fixed positive sum of two numbers, when is their product maximum ? b) For a fixed positive sum of two numbers, can you say anything about wen their product is minimum? c) For a fixed positive product of two numbers, when is their sum minimum? d) For a fixed positive product of two numbers, can you say anything about when the sum is maximum?

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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