Set-up of the AM-GM Analysis 

 

On the right --

The blue graph shows the function .

The purple graph shows the distance function.

The red graph shows the minimum value of the distance function, a constant line tangent to the curve.

The green vertical graph shows the value of   x where a minimum is reached.

Graphing Calculator File

The distance function.

 

Need to have factors of the variable with product that is a constant. 

 

Apply the AM-GM inequality for 3 positive numbers.

 

 

 

Determine where the mininimum distance occurs.

 

 


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