document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=303205>Question 303205</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am not sure if I am asking the right person (or section), but I posted my question on an image hosting site: http://i39.tinypic.com/2n7154w.jpg .  It has something to do with \"catenary\" stuff.  Can you help, please? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #217326 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=217326\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Wow, you're in the wrong location.<BR>\n" );
document.write( "You need to find the arc length.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=a%2Acosh%28x%2Fa%29%2BC ALIGN=MIDDLE  ALT=\"f%28x%29=a%2Acosh%28x%2Fa%29%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You need to find the derivative of f(x).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=df%2Fdx=a%2Asinh%28x%2Fa%29%2A%281%2Fa%29=sinh%28x%2Fa%29 ALIGN=MIDDLE  ALT=\"df%2Fdx=a%2Asinh%28x%2Fa%29%2A%281%2Fa%29=sinh%28x%2Fa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The formula for arc length is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28sqrt%281%2B%28df%2Fdx%29%5E2%29%2C+dx+%2C+0+%2C+a+%29=int%28sqrt%281%2B%28sinh%28x%2Fa%29%29%5E2%29%2Cdx%2C0%2Ca%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28sqrt%281%2B%28df%2Fdx%29%5E2%29%2C+dx+%2C+0+%2C+a+%29=int%28sqrt%28cosh%28x%2Fa%29%5E2%29%2Cdx%2C0%2Ca%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28sqrt%281%2B%28df%2Fdx%29%5E2%29%2C+dx+%2C+0+%2C+a+%29=int%28cosh%28x%2Fa%29%2Cdx%2C0%2Ca%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28sqrt%281%2B%28df%2Fdx%29%5E2%29%2C+dx+%2C+0+%2C+a+%29=a%2Asinh%28x%2Fa%29%2BC ALIGN=MIDDLE  ALT=\"int%28sqrt%281%2B%28df%2Fdx%29%5E2%29%2C+dx+%2C+0+%2C+a+%29=a%2Asinh%28x%2Fa%29%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28sqrt%281%2B%28df%2Fdx%29%5E2%29%2C+dx+%2C+0+%2C+a+%29=a%2Asinh%28x%2Fa%29%2BC ALIGN=MIDDLE  ALT=\"int%28sqrt%281%2B%28df%2Fdx%29%5E2%29%2C+dx+%2C+0+%2C+a+%29=a%2Asinh%28x%2Fa%29%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28sqrt%281%2B%28df%2Fdx%29%5E2%29%2C+dx+%2C+0+%2C+a+%29=a%2Asinh%28a%2Fa%29-a%2Asinh%280%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28sqrt%281%2B%28df%2Fdx%29%5E2%29%2C+dx+%2C+0+%2C+a+%29=a%2Asinh%281%29-a%2Asinh%280%29 ALIGN=MIDDLE  ALT=\"int%28sqrt%281%2B%28df%2Fdx%29%5E2%29%2C+dx+%2C+0+%2C+a+%29=a%2Asinh%281%29-a%2Asinh%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28sqrt%281%2B%28df%2Fdx%29%5E2%29%2C+dx+%2C+0+%2C+a+%29=a%2A%28sinh%281%29-sinh%280%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sinh%28x%29=%281%2F2%29%28e%5Ex-e%5E%28-x%29%29 ALIGN=MIDDLE  ALT=\"sinh%28x%29=%281%2F2%29%28e%5Ex-e%5E%28-x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sinh%281%29=%281%2F2%29%28e-1%2Fe%29 ALIGN=MIDDLE  ALT=\"sinh%281%29=%281%2F2%29%28e-1%2Fe%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sinh%280%29=%281%2F2%29%281-1%29=0 ALIGN=MIDDLE  ALT=\"sinh%280%29=%281%2F2%29%281-1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sinh%281%29-sinh%280%29=%281%2F2%29%28e-1%2Fe%29 ALIGN=MIDDLE  ALT=\"sinh%281%29-sinh%280%29=%281%2F2%29%28e-1%2Fe%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28sqrt%281%2B%28df%2Fdx%29%5E2%29%2C+dx+%2C+0+%2C+a+%29=a%2A%28sinh%281%29-sinh%280%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28sqrt%281%2B%28df%2Fdx%29%5E2%29%2C+dx+%2C+0+%2C+a+%29=a%2A%28%281%2F2%29%28e-1%2Fe%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28sqrt%281%2B%28df%2Fdx%29%5E2%29%2C+dx+%2C+0+%2C+a+%29=%28a%2F2%29%28e-1%2Fe%29 ALIGN=MIDDLE  ALT=\"int%28sqrt%281%2B%28df%2Fdx%29%5E2%29%2C+dx+%2C+0+%2C+a+%29=%28a%2F2%29%28e-1%2Fe%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now you have the arc length based on \"a\".<BR>\n" );
document.write( "Use the values given in the problem to find \"a\" and \"C\" and you'll have the arc length. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );