document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=58560>Question 58560</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me.  I got 12 for part a but my friend came up with -2.5 and neither of us can graph the function can you show us how please and thank you.  Also we needed help in finding the last part c.\r<BR>\n" );
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document.write( "An open box top is to be constructed from a 4 by 6 foot rectangular cardboard by cutting out equal squares at each corner and then folding up the flaps.  Let x denote the length of each side of the square to be cut out.  <BR>\n" );
document.write( "a) Find the function V that represents the volume of the box in terms of x.\r<BR>\n" );
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document.write( "b) Graph this function and show the graph over the valid range of the variable x\r<BR>\n" );
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document.write( "c) Using the graph, what is the value of x that will produce the maximum volume?\r<BR>\n" );
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document.write( "Show work here: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40108 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=40108\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) Find the function, V, in terms of x for the volume of the box.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%284-2x%29%286-2x%29x ALIGN=MIDDLE  ALT=\"V+=+%284-2x%29%286-2x%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%2824+-20x+%2B+4x%5E2%29x ALIGN=MIDDLE  ALT=\"V+=+%2824+-20x+%2B+4x%5E2%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+4x%5E3+-+20x%5E2+%2B+24x ALIGN=MIDDLE  ALT=\"V+=+4x%5E3+-+20x%5E2+%2B+24x\"   DISABLED_style= \"max-width:90%; height:auto;\" > This the function for the volume.<BR>\n" );
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document.write( "b) The graph of this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-5%2C5%2C-5%2C10%2C4x%5E3-20x%5E2%2B24x%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-5%2C5%2C-5%2C10%2C4x%5E3-20x%5E2%2B24x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The valid range of x: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3Cx%3C2 ALIGN=MIDDLE  ALT=\"0%3Cx%3C2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "c) The maximum volume occurs at x = 0.785 </SPAN>\n" );
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