document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1039269>Question 1039269</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream after t minutes is given by \r<BR>\n" );
document.write( "\n" );
document.write( "C(t) = 0.08t &#8722; 0.0004t^2, where 0 &#8804; t &#8804; 240 and the concentration is measured in mg/L.\r<BR>\n" );
document.write( "\n" );
document.write( "When is the maximum serum concentration reached?<BR>\n" );
document.write( "t = ______min.\r<BR>\n" );
document.write( "\n" );
document.write( "What is the maximum concentration?<BR>\n" );
document.write( "________mg/L. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #654027 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=654027\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the vertex ( in this case a maximum ) of a<BR>\n" );
document.write( "parabola is given by the formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bmax%5D+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+t%5Bmax%5D+=+-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > when the equation has the<BR>\n" );
document.write( "form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%2At%5E2+%2B+b%2At+%2B+c+ ALIGN=MIDDLE  ALT=\"+a%2At%5E2+%2B+b%2At+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+0+ ALIGN=MIDDLE  ALT=\"c+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in this case )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C%28t%29+=+-.0004t%5E2+%2B+.08t+ ALIGN=MIDDLE  ALT=\"+C%28t%29+=+-.0004t%5E2+%2B+.08t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-.0004+ ALIGN=MIDDLE  ALT=\"+a+=+-.0004+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+.08+ ALIGN=MIDDLE  ALT=\"+b+=+.08+\"   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%5Bmax%5D+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+t%5Bmax%5D+=+-b%2F%282a%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%5Bmax%5D+=+-.08+%2F+%28+2%2A%28-.0004+%29%29+ ALIGN=MIDDLE  ALT=\"+t%5Bmax%5D+=+-.08+%2F+%28+2%2A%28-.0004+%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=+t%5Bmax%5D+=+.08+%2F+.0008+ ALIGN=MIDDLE  ALT=\"+t%5Bmax%5D+=+.08+%2F+.0008+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bmax%5D+=+100+ ALIGN=MIDDLE  ALT=\"+t%5Bmax%5D+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The maximum serum concentration is reached<BR>\n" );
document.write( "in 100 min<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C%28t%29+=+-.0004t%5E2+%2B+.08t+ ALIGN=MIDDLE  ALT=\"+C%28t%29+=+-.0004t%5E2+%2B+.08t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C%28100%29+=+-.0004%2A100%5E2+%2B+.08%2A100+ ALIGN=MIDDLE  ALT=\"+C%28100%29+=+-.0004%2A100%5E2+%2B+.08%2A100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C%28100%29+=+-4%2A10%5E%28-4%29%2A10%5E4+%2B+8+ ALIGN=MIDDLE  ALT=\"+C%28100%29+=+-4%2A10%5E%28-4%29%2A10%5E4+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C%28100%29+=+-4+%2B+8+ ALIGN=MIDDLE  ALT=\"+C%28100%29+=+-4+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C%28100%29+=+4+ ALIGN=MIDDLE  ALT=\"+C%28100%29+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "The maximum concentration is 4 mg/L<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "Here's the plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-24%2C+240%2C+-2%2C+6%2C+-.0004x%5E2+%2B+.08x+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-24%2C+240%2C+-2%2C+6%2C+-.0004x%5E2+%2B+.08x+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );