document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=213374>Question 213374</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29=t%5E2%2B11t%2B7 ALIGN=MIDDLE  ALT=\"h%28t%29=t%5E2%2B11t%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Find the instantaneous rate of change of h(t)<BR>\n" );
document.write( "with respect to t at t=2.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161171 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=161171\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29=t%5E2%2B11t%2B7 ALIGN=MIDDLE  ALT=\"h%28t%29=t%5E2%2B11t%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Find the instantaneous rate of change of h(t)<BR>\n" );
document.write( "with respect to t at t=2. \r<BR>\n" );
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document.write( "This is a calculus problem involving derivatives. \r<BR>\n" );
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document.write( "Step 1.  So the first derivative of h(t) or h'(t) is the rate of change of h(t) with respect to t.\r<BR>\n" );
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document.write( "First derivative of h(t) = h'(t) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2t%2B11 ALIGN=MIDDLE  ALT=\"2t%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 2.  At t=2,  then h'(t)=2*2+11 = 15.\r<BR>\n" );
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document.write( "Step 3.  The instantaneous rate of change of h(t) = h'(t) = 15.\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.  For Step-By-Step Videos in Trigonometry visit http://www.FreedomUniversity.TV.\r<BR>\n" );
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document.write( "Good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J<BR>\n" );
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