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$5.00 The quadratic mean of two real number x and y equals (sqrt(x^2 + y^2))/2 Their arithmatic mean is (x + y)/2

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The quadratic mean of two real number x and y equals (sqrt(x^2 + y^2))/2 Their arithmatic mean is (x + y)/2?
• Choose some combinations for x and y.
• For each combination, compute the quadratic and arithmatic means, and compare those two values.
• Formulate a conjecture about the relative values of the quadratic and arithmatic means.
• Prove your conjecture.
 


   
   
   
   
 
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$5.00 A detailed and correct solution

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  • Posted on Sep. 30, 2008 at 05:29:18AM
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Preview: ... Mean Arithmetic Mean<br>1 2 1.118033989 1.5<br>3 4 2.5 3.5<br>5 6 3.905124838 5.5<br>7 8 5.315072906 7.5<br>9 10 6.726812024 9.5<br>11 12 8.139410298 11.5<br>13 14 9.552486587 13.5<br>15 16 10.9658561 15.5<br>17 18 12.3794184 17.5<br>19 20 13.79311422 ...

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