document.write( "Question 847879: Two positive numbers x and y are related by 2x+y=60.
\n" ); document.write( "(a) Find a function that models the sum of the square of x and y.
\n" ); document.write( "(b) Find the values of x and y that minimize the function.
\n" ); document.write( "

Algebra.Com's Answer #510775 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
\"2x%2By=60\"
\n" ); document.write( "\"y=60-2x\"
\n" ); document.write( "\"f=x%5E2%2By%5E2\"
\n" ); document.write( "\"f=x%5E2%2B%2860-2x%29%5E2\"
\n" ); document.write( "\"f=x%5E2%2B3600-240x%2B4x%5E2\"
\n" ); document.write( "\"f=5x%5E2-240x%2B3600\"
\n" ); document.write( "Find the derivative and set it equal to zero.
\n" ); document.write( "\"df%2Fdx=10x-240=0\"
\n" ); document.write( "\"x=24\"
\n" ); document.write( "\"y=60-2%2824%29=12\"
\n" ); document.write( "\"f=24%5E2%2B12%5E2=720\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );