document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040831>Question 1040831</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A gardening company is designing a rectangular compost container that will be twice as tall as it is wide and must hold 18 ft3 of composted food scraps.  Find the dimensions of the compost container that has minimal surface area.  (include the top and bottom of the container) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655746 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=655746\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x and 2x rectangular dimensions, and y for the height.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%282x%5E2%2Ay=18%2CS=2%2A2x%2Ax%2B2xy%2B2%2A2xy%29 ALIGN=MIDDLE  ALT=\"system%282x%5E2%2Ay=18%2CS=2%2A2x%2Ax%2B2xy%2B2%2A2xy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "first equation gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=9%2Fx%5E2 ALIGN=MIDDLE  ALT=\"y=9%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=4x%5E2%2B2x%289%2Fx%5E2%29%2B4x%289%2Fx%5E2%29 ALIGN=MIDDLE  ALT=\"S=4x%5E2%2B2x%289%2Fx%5E2%29%2B4x%289%2Fx%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=4x%5E2%2B18%2Fx%2B36%2Fx ALIGN=MIDDLE  ALT=\"S=4x%5E2%2B18%2Fx%2B36%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=%284x%5E3%2B18%2B36%29%2Fx ALIGN=MIDDLE  ALT=\"S=%284x%5E3%2B18%2B36%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=%284x%5E3%2B54%29%2Fx ALIGN=MIDDLE  ALT=\"S=%284x%5E3%2B54%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Quotient Rule<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dS%2Fdx=%2812x%5E3-4x%5E3-54%29%2Fx%5E2 ALIGN=MIDDLE  ALT=\"dS%2Fdx=%2812x%5E3-4x%5E3-54%29%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%5E3-54=0 ALIGN=MIDDLE  ALT=\"8x%5E3-54=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E3=27 ALIGN=MIDDLE  ALT=\"4x%5E3=27\"   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=27%2F4 ALIGN=MIDDLE  ALT=\"x%5E3=27%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=3%2Froot%283%2C4%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=3%2Froot%283%2C4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now also find 2x and y. </SPAN>\n" );
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