document.write( "Question 1061119: maximize Q=xy where x and y are positive numbers such that x+6y^2=2\r
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document.write( "The maximum value of Q is___ and occurs at x=__ and y=__ \n" );
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Algebra.Com's Answer #675925 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! x +6y^2 = 2 \n" ); document.write( ": \n" ); document.write( "6y^2 = -x +2 \n" ); document.write( ": \n" ); document.write( "y^2 = (-x/6) + (1/3) \n" ); document.write( ": \n" ); document.write( "y = ( (-x/6) + (1/3) )^(1/2) \n" ); document.write( ": \n" ); document.write( "this is a parabola that opens to the left \n" ); document.write( ": \n" ); document.write( "the y intercept is (1/3)^(1/2) and x intercept is 2 \n" ); document.write( ": \n" ); document.write( "Here is the graph showing the positive values for x and y \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "********************************************************************* \n" ); document.write( "max value of Q is 2 * (1/3)^(1/2) = 1.1547 where x=2, y = (1/3)^(1/2) \n" ); document.write( "********************************************************************* \n" ); document.write( ": \n" ); document.write( " |