document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=842477>Question 842477</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A herd of deer is introduced onto a small island. At first the herd increases rapidly, but eventually food resources dwindle and the population declines. It can be shown by means of calculus that the rate R (in deer per year) at which the deer population changes at time t is given by R = &#8722;4t3 + 38t.<BR>\n" );
document.write( "(a) When does the population cease to grow? (Round your answer to two decimal places.)<BR>\n" );
document.write( "after t = Incorrect: Your answer is incorrect. years  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #507564 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=507564\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Same as asking find t for the derivative of R equal to zero.<BR>\n" );
document.write( "(*See note below)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dR%2F%28dt%29=-12t%5E2%2B38 ALIGN=MIDDLE  ALT=\"dR%2F%28dt%29=-12t%5E2%2B38\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Find solution for t, for the one such that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%3E0 ALIGN=MIDDLE  ALT=\"t%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12t%5E2%2B38=0 ALIGN=MIDDLE  ALT=\"-12t%5E2%2B38=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12t%5E2=38 ALIGN=MIDDLE  ALT=\"12t%5E2=38\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6t%5E2=19 ALIGN=MIDDLE  ALT=\"6t%5E2=19\"   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=sqrt%2819%2F6%29%29 ALIGN=MIDDLE  ALT=\"highlight%28t=sqrt%2819%2F6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > years<BR>\n" );
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document.write( "This time quantity is 1.78 years, or 1 year 41 weeks.\r<BR>\n" );
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document.write( "* assumed your equation was to be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=-4t%5Ehighlight%283%29%2B38t ALIGN=MIDDLE  ALT=\"R=-4t%5Ehighlight%283%29%2B38t\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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