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
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ISBN:9780470458365
Author:Erwin Kreyszig
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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?
Transcribed Image Text: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?
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