document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033171>Question 1033171</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the value of x that minimises  y=18x^2+(100/x) for positive x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1. In order to do that first find the derivative dy/dx<BR>\n" );
document.write( "2. How many critical numbers does y have, for positive x ?<BR>\n" );
document.write( "3. What is the nature of the critical number of the previous part?<BR>\n" );
document.write( "4. give the exact value of the x that minimises y for positive x?<BR>\n" );
document.write( "5. Now give the value approximately as a two place decimal. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #647737 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=647737\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=18x%5E2%2B100x%5E%28-1%29 ALIGN=MIDDLE  ALT=\"y=18x%5E2%2B100x%5E%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=36x-100x%5E%28-2%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx=36x-100x%5E%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=36x-100%2Fx%5E%282%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx=36x-100%2Fx%5E%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36x-100%2Fx%5E2=0 ALIGN=MIDDLE  ALT=\"36x-100%2Fx%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "One<BR>\n" );
document.write( "3. Nature?<BR>\n" );
document.write( "4. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36x=100%2Fx%5E2 ALIGN=MIDDLE  ALT=\"36x=100%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3=100%2F36 ALIGN=MIDDLE  ALT=\"x%5E3=100%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3=25%2F9 ALIGN=MIDDLE  ALT=\"x%5E3=25%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2825%2F9%29%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"x=%2825%2F9%29%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "5. I leave that to you.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );