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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?

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?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 11E
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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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