document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1069666>Question 1069666</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Det. Robert Goren is investigating a homicide, and the medical examiner tells him that when he arrived at 6:00 p.m., the body had a temperature of 95.3 degrees Fahrenheit. By the time Nichols had arrived an hour later (at 7:00), he checks again and determines the temperature to be 94.9 degrees. The ambient air temperature is 90 degrees. Use the equation &#119879;(&#119905;) = &#119886;&#119890;^(&#8722;&#119896;&#119905;) + 90 to determine when the victim was killed. (The normal body temperature is 98.6 degrees. Round k to 3 decimal places and find the time of death to the nearest minute.\r<BR>\n" );
document.write( "\n" );
document.write( "I'm really confused on how to go about this problem, any help would be greatly appreciated! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #684849 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=684849\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%28t%29=a%2Ae%5E%28-kt%29%2B90 ALIGN=MIDDLE  ALT=\"T%28t%29=a%2Ae%5E%28-kt%29%2B90\"   DISABLED_style= \"max-width:90%; height:auto;\" > makes some sense.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%28t%29 ALIGN=MIDDLE  ALT=\"T%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > would be the body temperature in degrees at some time <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( " <BR>\n" );
document.write( "ONE WAY TO SOLVE:<BR>\n" );
document.write( "We define <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" >= time in minutes after 6:00 p.m.;<BR>\n" );
document.write( "substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%280%29=95.3 ALIGN=MIDDLE  ALT=\"T%280%29=95.3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%2860%29=94.9 ALIGN=MIDDLE  ALT=\"T%2860%29=94.9\"   DISABLED_style= \"max-width:90%; height:auto;\" > to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "and then use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%28t%29=98.6 ALIGN=MIDDLE  ALT=\"T%28t%29=98.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > to find the time the victim died.<BR>\n" );
document.write( "Adding the negative time we find to 6:00 p.m. gives us the murder time.<BR>\n" );
document.write( "It gets easier if we solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%28t%29=a%2Ae%5E%28-kt%29%2B90 ALIGN=MIDDLE  ALT=\"T%28t%29=a%2Ae%5E%28-kt%29%2B90\"   DISABLED_style= \"max-width:90%; height:auto;\" > for what we want to start,<BR>\n" );
document.write( "and then just plug stuff in.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=%28T-90%29%2Fe%5E%28-kt%29 ALIGN=MIDDLE  ALT=\"a=%28T-90%29%2Fe%5E%28-kt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=-%281%2Ft%29ln%28%28T-90%29%2Fa%29 ALIGN=MIDDLE  ALT=\"k=-%281%2Ft%29ln%28%28T-90%29%2Fa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=-%281%2Fk%29ln%28%28T-90%29%2Fa%29 ALIGN=MIDDLE  ALT=\"t=-%281%2Fk%29ln%28%28T-90%29%2Fa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "At 6:00 p.m. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=0 ALIGN=MIDDLE  ALT=\"t=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-kt=0 ALIGN=MIDDLE  ALT=\"-kt=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T=95.3 ALIGN=MIDDLE  ALT=\"T=95.3\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=%2895.3-90%29%2Fe%5E0 ALIGN=MIDDLE  ALT=\"a=%2895.3-90%29%2Fe%5E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=5.3%2F1 ALIGN=MIDDLE  ALT=\"a=5.3%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=5.3%29 ALIGN=MIDDLE  ALT=\"highlight%28a=5.3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "At 7:00 p.m. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=60 ALIGN=MIDDLE  ALT=\"t=60\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T=94.9 ALIGN=MIDDLE  ALT=\"T=94.9\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=-%281%2F60%29ln%28%2894.9-90%29%2F5.3%29 ALIGN=MIDDLE  ALT=\"k=-%281%2F60%29ln%28%2894.9-90%29%2F5.3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=-%281%2F60k%29ln%284.9%2F5.3%29 ALIGN=MIDDLE  ALT=\"k=-%281%2F60k%29ln%284.9%2F5.3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=-%281%2F60%29%28-0.7850%29 ALIGN=MIDDLE  ALT=\"k=-%281%2F60%29%28-0.7850%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28k=0.001308%29 ALIGN=MIDDLE  ALT=\"highlight%28k=0.001308%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "At the time the victim died, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T=98.6 ALIGN=MIDDLE  ALT=\"T=98.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=-%281%2F60%29ln%28%2898.6-90%29%2F5.3%29 ALIGN=MIDDLE  ALT=\"t=-%281%2F60%29ln%28%2898.6-90%29%2F5.3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=-%281%2F60%29ln%288.6%2F5.3%29 ALIGN=MIDDLE  ALT=\"t=-%281%2F60%29ln%288.6%2F5.3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=-%281%2F60%290.4840 ALIGN=MIDDLE  ALT=\"t=-%281%2F60%290.4840\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t=-370%29 ALIGN=MIDDLE  ALT=\"highlight%28t=-370%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (rounded to the nearest minute)<BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=370minutes=6hours%2B11minutes ALIGN=MIDDLE  ALT=\"370minutes=6hours%2B11minutes\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "time of death = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%226%3A00+PM%22-%226%3A11%22=highlight%28%2211%3A49+AM%22%29 ALIGN=MIDDLE  ALT=\"%226%3A00+PM%22-%226%3A11%22=highlight%28%2211%3A49+AM%22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "EXPLANATION AND ALTERNATE WAY TO SOLVE:<BR>\n" );
document.write( "You may have heard in class that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=e%5E%28-kx%29 ALIGN=MIDDLE  ALT=\"y=e%5E%28-kx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for some <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%3E0 ALIGN=MIDDLE  ALT=\"k%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28200%2C200%2C-0.1%2C0.9%2C-0.1%2C0.9%2C0.8%2Ae%5E%28-%28sqrt%285x%29%5E2%29%29%29 ALIGN=MIDDLE  ALT=\"graph%28200%2C200%2C-0.1%2C0.9%2C-0.1%2C0.9%2C0.8%2Ae%5E%28-%28sqrt%285x%29%5E2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "models exponential decay;<BR>\n" );
document.write( "that it asymptotically approaches <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0 ALIGN=MIDDLE  ALT=\"y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "or even that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28x-%3Einfinity%2Ce%5E%28-kx%29%29=0 ALIGN=MIDDLE  ALT=\"lim%28x-%3Einfinity%2Ce%5E%28-kx%29%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%28t%29=a%2Ae%5E%28-kt%29%2B90 ALIGN=MIDDLE  ALT=\"T%28t%29=a%2Ae%5E%28-kt%29%2B90\"   DISABLED_style= \"max-width:90%; height:auto;\" > (with some <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3E0 ALIGN=MIDDLE  ALT=\"a%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%3E0 ALIGN=MIDDLE  ALT=\"k%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > too) makes sense.<BR>\n" );
document.write( "It would have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%280%29=a%2Ae%5E0%2B90=a%2A1%2B90=a%2B90 ALIGN=MIDDLE  ALT=\"T%280%29=a%2Ae%5E0%2B90=a%2A1%2B90=a%2B90\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and would decrease towards <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90 ALIGN=MIDDLE  ALT=\"90\"   DISABLED_style= \"max-width:90%; height:auto;\" > , which is the ambient temperature in degrees.<BR>\n" );
document.write( "Nothing else is specified  about that function,<BR>\n" );
document.write( "so we will say that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" >= time since 6:00 p.m., in minutes.<BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%280%29=95.3 ALIGN=MIDDLE  ALT=\"T%280%29=95.3\"   DISABLED_style= \"max-width:90%; height:auto;\" > tells us that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2B90=95.3 ALIGN=MIDDLE  ALT=\"a%2B90=95.3\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=95.3-90 ALIGN=MIDDLE  ALT=\"a=95.3-90\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=5.3%29 ALIGN=MIDDLE  ALT=\"highlight%28a=5.3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "An hour later, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=60 ALIGN=MIDDLE  ALT=\"t=60\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%2860%29=94.9 ALIGN=MIDDLE  ALT=\"T%2860%29=94.9\"   DISABLED_style= \"max-width:90%; height:auto;\" > tells us that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ae%5E%28-60k%29%2B90=94.9 ALIGN=MIDDLE  ALT=\"a%2Ae%5E%28-60k%29%2B90=94.9\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.3%2Ae%5E%28-60k%29=94.9-90 ALIGN=MIDDLE  ALT=\"5.3%2Ae%5E%28-60k%29=94.9-90\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.3%2Ae%5E%28-60k%29=4.9 ALIGN=MIDDLE  ALT=\"5.3%2Ae%5E%28-60k%29=4.9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28-60k%29=4.9%2F5.3 ALIGN=MIDDLE  ALT=\"e%5E%28-60k%29=4.9%2F5.3\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-60k=ln%280.9245%29 ALIGN=MIDDLE  ALT=\"-60k=ln%280.9245%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-60k=-0.07850 ALIGN=MIDDLE  ALT=\"-60k=-0.07850\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=%28-0.07850%29%2F%28-60%29 ALIGN=MIDDLE  ALT=\"k=%28-0.07850%29%2F%28-60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28k=0.001308%29 ALIGN=MIDDLE  ALT=\"highlight%28k=0.001308%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we have the function<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%28t%29=5.3e%5E%28-0.001308t%29%2B90 ALIGN=MIDDLE  ALT=\"T%28t%29=5.3e%5E%28-0.001308t%29%2B90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and we want to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%28t%29=98.6 ALIGN=MIDDLE  ALT=\"T%28t%29=98.6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=98.6=5.3e%5E%28-0.001308t%29%2B90 ALIGN=MIDDLE  ALT=\"98.6=5.3e%5E%28-0.001308t%29%2B90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=98.6-90=5.3e%5E%28-0.001308t%29 ALIGN=MIDDLE  ALT=\"98.6-90=5.3e%5E%28-0.001308t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8.6=5.3e%5E%28-0.001308t%29 ALIGN=MIDDLE  ALT=\"8.6=5.3e%5E%28-0.001308t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8.6%2F5.3=e%5E%28-0.001308t%29 ALIGN=MIDDLE  ALT=\"8.6%2F5.3=e%5E%28-0.001308t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%288.6%2F5.3%29=-0.001308t ALIGN=MIDDLE  ALT=\"ln%288.6%2F5.3%29=-0.001308t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=ln%288.6%2F5.3%29%2F%28-0.001308%29 ALIGN=MIDDLE  ALT=\"t=ln%288.6%2F5.3%29%2F%28-0.001308%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t=-370%29 ALIGN=MIDDLE  ALT=\"highlight%28t=-370%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (rounded to the nearest minute)<BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=370minutes=6hours%2B11minutes ALIGN=MIDDLE  ALT=\"370minutes=6hours%2B11minutes\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "time of death = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%226%3A00+PM%22-%226%3A11%22=highlight%28%2211%3A49+AM%22%29 ALIGN=MIDDLE  ALT=\"%226%3A00+PM%22-%226%3A11%22=highlight%28%2211%3A49+AM%22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );