document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=360564>Question 360564</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An open box is to be made from a square piece of material 36cm on a side by cutting equal squares from the corners and turning up the sides. See the following table:\r<BR>\n" );
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document.write( "Height      Width        Volume<BR>\n" );
document.write( "1           36- 2(1)    1[36-2(1)]^2 =1156\r<BR>\n" );
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document.write( "2           36- 2(2)    2[36-2(2)]^2 =2048\r<BR>\n" );
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document.write( "1.  Verify that the volume of the box is given by V = x(36-2x)^2.  Determine the domain of the function.\r<BR>\n" );
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document.write( "2.  Use a graphing calculator to graph V, and use the range of dimensions from the table to find the x- value for which V(x) is maximum. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #257266 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=257266\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Verify that the volume of the box is given by V = x(36-2x)^2. Determine the domain of the function.<BR>\n" );
document.write( "height = x<BR>\n" );
document.write( "base is 36-2x by 36-2x<BR>\n" );
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document.write( "Domain: <BR>\n" );
document.write( "Solve: 36-2x >= 0<BR>\n" );
document.write( "2x <= 36<BR>\n" );
document.write( "0<= x <= 18<BR>\n" );
document.write( "---------------------\r<BR>\n" );
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document.write( "2. Use a graphing calculator to graph V, and use the range of dimensions from the table to find the x- value for which V(x) is maximum.\r<BR>\n" );
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document.write( "Maximum when x = 6<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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