document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=586732>Question 586732</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two nonnegative numbers is 9. Find these two numbers<BR>\n" );
document.write( "knowing that the product of one number and the square of the other number<BR>\n" );
document.write( "is a maximum. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #373862 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=373862\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of two nonnegative numbers is 9. Find these two numbers<BR>\n" );
document.write( "knowing that the product of one number and the square of the other number<BR>\n" );
document.write( "is a maximum.<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "P = x^2*(9-x) = 9x^2-x^3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+-x%5E3+%2B+9x%5E2+-+P ALIGN=MIDDLE  ALT=\"f%28x%29+=+-x%5E3+%2B+9x%5E2+-+P\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f'(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%5E2+%2B+18x+=+0 ALIGN=MIDDLE  ALT=\"-3x%5E2+%2B+18x+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-x*(x-6) = 0<BR>\n" );
document.write( "--> x = 0, x = 6<BR>\n" );
document.write( "================<BR>\n" );
document.write( "@ x=6, max value = 3*6^2 = 108<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );