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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