document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026908>Question 1026908</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The function C(t) = K(e^(-at) - e^(-bt)), where a,b,K are positive constants and b>a, is used to model the concentration at time t of a drug injected into the bloodstream.<BR>\n" );
document.write( "a.Find the limit of C(t) as t approaches infinity.<BR>\n" );
document.write( "b.Find dC/dt, the rate of change of drug concentration in the blood.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #642219 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=642219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a.  Since b > a > 0, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28t-%3Einfinity%2C+e%5E%28-at%29%29+=+0 ALIGN=MIDDLE  ALT=\"lim%28t-%3Einfinity%2C+e%5E%28-at%29%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28t-%3Einfinity%2C+e%5E%28-bt%29%29+=+0 ALIGN=MIDDLE  ALT=\"lim%28t-%3Einfinity%2C+e%5E%28-bt%29%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and so<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28t-%3Einfinity%2C+C%28t%29%29+=+0 ALIGN=MIDDLE  ALT=\"lim%28t-%3Einfinity%2C+C%28t%29%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "b.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dC%28t%29%2Fdt+=+K%28be%5E%28-bt%29+-+ae%5E%28-at%29%29 ALIGN=MIDDLE  ALT=\"dC%28t%29%2Fdt+=+K%28be%5E%28-bt%29+-+ae%5E%28-at%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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