document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1024986>Question 1024986</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello. Please, if someone could give me an explanation on how to solve this problem, I'd really appreciate. \r<BR>\n" );
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document.write( "Suppose that you are given an open top box with the square base. Let x be the length of the side of the base and let the volume of the box be V=1. Express the surface area of the box in terms of two power functions of x. \r<BR>\n" );
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document.write( "Thank you very much.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #640370 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=640370\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Base surface but not a top surface.  You have volume of 1 unit of whatever this volume unit may be, as V=1.\r<BR>\n" );
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document.write( "The dimension for height may be any variable you choose.  Try assigning y for the height.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=x%2Ax%2Ay ALIGN=MIDDLE  ALT=\"V=x%2Ax%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Ay=1 ALIGN=MIDDLE  ALT=\"x%5E2%2Ay=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1%2Fx%5E2 ALIGN=MIDDLE  ALT=\"y=1%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >---------still two unknown variables, x and y.\r<BR>\n" );
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document.write( "The question to answer is, what is the expression for the surface area?<BR>\n" );
document.write( "Four of the surfaces each are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy ALIGN=MIDDLE  ALT=\"xy\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the base area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "The surface area for this box is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4xy%2Bx%5E2 ALIGN=MIDDLE  ALT=\"4xy%2Bx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  You already know something about y, so you can substitute for y:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%281%2Fx%5E2%29%2Bx%5E2 ALIGN=MIDDLE  ALT=\"4x%281%2Fx%5E2%29%2Bx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fx%2Bx%5E2 ALIGN=MIDDLE  ALT=\"4%2Fx%2Bx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "but since you are asked for all power functions of x, express this area as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%284%2Ax%5E-1%2Bx%5E2%29 ALIGN=MIDDLE  ALT=\"highlight%284%2Ax%5E-1%2Bx%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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