document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1038672>Question 1038672</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rectangle R has varying length L and width Wbut a constant area of 4ft^2\r<BR>\n" );
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document.write( "A: Express the perimeter P as a function of l and what kind of function is P? wahat is its domain?\r<BR>\n" );
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document.write( "B:Describe the asymptotic behavior of P. What can you say about rectangle R because of this behavior? \r<BR>\n" );
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document.write( "c:For what values of l and w will the perimeter of R be the least?<BR>\n" );
document.write( "Give a geometric explanation. Be sure to include a graph with relevant points labeled.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #653413 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=653413\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=L%2AW=4 ALIGN=MIDDLE  ALT=\"A=L%2AW=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=4%2FW ALIGN=MIDDLE  ALT=\"L=4%2FW\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "A: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=2L%2B2W=2%28L%2BW%29=2%284%2FW%2BW%29 ALIGN=MIDDLE  ALT=\"P=2L%2B2W=2%28L%2BW%29=2%284%2FW%2BW%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The width cannot be less than zero but can be as large as you wish so then the perimeter is the same type of function. <BR>\n" );
document.write( "It cannot be less than zero but it can be as large as you wish.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%3E0 ALIGN=MIDDLE  ALT=\"W%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%3E0 ALIGN=MIDDLE  ALT=\"L%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "B: As <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W ALIGN=MIDDLE  ALT=\"W\"   DISABLED_style= \"max-width:90%; height:auto;\" > gets large, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2FW-%3E0 ALIGN=MIDDLE  ALT=\"4%2FW-%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P ALIGN=MIDDLE  ALT=\"P\"   DISABLED_style= \"max-width:90%; height:auto;\" > looks like a linear function of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W ALIGN=MIDDLE  ALT=\"W\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "C: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=2%284%2FW%2BW%29 ALIGN=MIDDLE  ALT=\"P=2%284%2FW%2BW%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since it's a function of one variable, you can find the derivative to get the minimum value,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dP%2FdW=-8%2FW%5E2%2B2 ALIGN=MIDDLE  ALT=\"dP%2FdW=-8%2FW%5E2%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-8%2FW%5E2%29%2B2=0 ALIGN=MIDDLE  ALT=\"%28-8%2FW%5E2%29%2B2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8%2FW%5E2=-2 ALIGN=MIDDLE  ALT=\"-8%2FW%5E2=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2=4 ALIGN=MIDDLE  ALT=\"W%5E2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=2 ALIGN=MIDDLE  ALT=\"W=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=4%2F2 ALIGN=MIDDLE  ALT=\"L=4%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=2 ALIGN=MIDDLE  ALT=\"L=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the minimum perimeter would be,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=2%282%2B2%29=8 ALIGN=MIDDLE  ALT=\"P=2%282%2B2%29=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ft ALIGN=MIDDLE  ALT=\"ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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