document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=515619>Question 515619</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular piece of cardboard twice as long as wide is to be made into an open box by cutting 2\" squares from each side and bending up the sides...\r<BR>\n" );
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document.write( "Express the volume V of the box as a function of the width w of the piece of cardboard\r<BR>\n" );
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document.write( "Find the domain of the function<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #344217 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=344217\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rectangular piece of cardboard twice as long as wide is to be made into an open box by cutting 2\" squares from each side and bending up the sides...<BR>\n" );
document.write( "Express the volume V of the box as a function of the width w of the piece of cardboard<BR>\n" );
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document.write( "(2w-4) = the length<BR>\n" );
document.write( "(w-4) = the width<BR>\n" );
document.write( " 2 = the height<BR>\n" );
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document.write( "V = 2(2w-4)(w-4)<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "V = 2(2w^2 - 8w - 4w + 16)<BR>\n" );
document.write( "V = 2(2w^2 - 12w + 16)<BR>\n" );
document.write( "V(w) = 4w^2 - 24w + 32<BR>\n" );
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document.write( "Find the domain of the function<BR>\n" );
document.write( "Find w<BR>\n" );
document.write( "4w^2 - 24w + 32 = 0<BR>\n" );
document.write( "Simplify, divide by 4<BR>\n" );
document.write( "w^2 - 6w + 8 = 0<BR>\n" );
document.write( "Factor to<BR>\n" );
document.write( "(w-4)(w-2)<BR>\n" );
document.write( "w = 4<BR>\n" );
document.write( "and <BR>\n" );
document.write( "w = 2<BR>\n" );
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document.write( "Domain: w=<2 and w=>4 </SPAN>\n" );
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