jeffro Posted October 19, 2010 Report Share Posted October 19, 2010 find two positive numbers for which the sum of their squares is 10,000. and their sum is a maximum X^2+Y^2=10,000 X+Y=Max Quote Link to comment Share on other sites More sharing options...
Not Brian Posted October 19, 2010 Report Share Posted October 19, 2010 http://elitechoice.org/wp-content/uploads/2007/10/francis-bacon.jpg Quote Link to comment Share on other sites More sharing options...
Buck531 Posted October 19, 2010 Report Share Posted October 19, 2010 1+1 = 2 Quote Link to comment Share on other sites More sharing options...
oh8sti Posted October 19, 2010 Report Share Posted October 19, 2010 e=mcvagina Quote Link to comment Share on other sites More sharing options...
unfunnyryan Posted October 19, 2010 Report Share Posted October 19, 2010 x=y=sqrt(5000) Quote Link to comment Share on other sites More sharing options...
Mensan Posted October 19, 2010 Report Share Posted October 19, 2010 x=y=sqrt(5000) Correct, show your work: X^2+Y^2=10,000 y^2=10K-x^2 y=sqrt(10K-x^2) dy/dx=x+y dy/dx=x+[sqrt(10K-x^2)] dy/dx=0=x+[sqrt(10K-x^2)] -x=[sqrt(10K-x^2)] (-x)^2=[sqrt(10K-x^2)]^2 x^2=10K-x^2 2x^2=10K x^2=5K x=sqrt(5K) I think. Quote Link to comment Share on other sites More sharing options...
Buck531 Posted October 19, 2010 Report Share Posted October 19, 2010 Quote Link to comment Share on other sites More sharing options...
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