document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1096536>Question 1096536</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The pressure of the oil in reservoir tends to drop with time. By taking sample pressure readings for a particular oil reservoir, petroleum engineer have found that the change .... is given by the function P(t)=t^3-18t^2+81t where t is time in years from the date of the first reading.\r<BR>\n" );
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document.write( "a) Find P(0), P(3), P(5), P(10)<BR>\n" );
document.write( "b) Over what period is the change (drop) in pressure increasing? decreasing?<BR>\n" );
document.write( "c) Graph P(t) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #710974 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=710974\">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=+P%28t%29+=+t%5E3+-+18t%5E2+%2B+81t+ ALIGN=MIDDLE  ALT=\"+P%28t%29+=+t%5E3+-+18t%5E2+%2B+81t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%280%29+=+0+ ALIGN=MIDDLE  ALT=\"+P%280%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=+P%283%29+=+3%5E3+-+18%2A3%5E2+%2B+81%2A3+ ALIGN=MIDDLE  ALT=\"+P%283%29+=+3%5E3+-+18%2A3%5E2+%2B+81%2A3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%283%29+=+9+-+162+%2B+243+ ALIGN=MIDDLE  ALT=\"+P%283%29+=+9+-+162+%2B+243+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%283%29+=+90+ ALIGN=MIDDLE  ALT=\"+P%283%29+=+90+\"   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=+P%285%29+=+5%5E3v+-+18%5E5%5E2+%2B+81%5E5+ ALIGN=MIDDLE  ALT=\"+P%285%29+=+5%5E3v+-+18%5E5%5E2+%2B+81%5E5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%2810%29+=+10%5E3+-+18%2A10%5E2+%2B+81%2A10+ ALIGN=MIDDLE  ALT=\"+P%2810%29+=+10%5E3+-+18%2A10%5E2+%2B+81%2A10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "Here's the graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C400%2C+-20%2C20%2C-30%2C200%2C+x%5E3+-+18x%5E2+%2B+81x+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C400%2C+-20%2C20%2C-30%2C200%2C+x%5E3+-+18x%5E2+%2B+81x+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The derivative ( is this a calculus problem? ) tells you when<BR>\n" );
document.write( "the function is increasing or decreasing<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C400%2C+-20%2C20%2C-30%2C200%2C+x%5E3+-+18x%5E2+%2B+81x%2C+3x%5E2+-+36x+%2B+81+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The funtion <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%28t%29+ ALIGN=MIDDLE  ALT=\"+P%28t%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is decreasing between the roots of the quadratic.<BR>\n" );
document.write( "( find the roots usinf quadratic fromula ) </SPAN>\n" );
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