document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212467>Question 212467</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let f(t)=t^2+4t+2.\r<BR>\n" );
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document.write( "Find a value of t such that the average rate of change of f(t) from 0 to t equals 13\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 #160609 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=160609\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let f(t)=t^2+4t+2.\r<BR>\n" );
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document.write( "Find a value of t such that the average rate of change of f(t) from 0 to t equals 13<BR>\n" );
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document.write( "\"average rate of change\" is simply the instantaneous slope when t=13.<BR>\n" );
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document.write( "To find it, you can find the derivative of f(t):<BR>\n" );
document.write( "f(t)=t^2+4t+2<BR>\n" );
document.write( "f'(t)=2t+4<BR>\n" );
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document.write( "Now, find f'(13):<BR>\n" );
document.write( "f'(t)=2t+4<BR>\n" );
document.write( "f'(13)=2(13)+4<BR>\n" );
document.write( "f'(13)=26+4<BR>\n" );
document.write( "f'(13)=30 </SPAN>\n" );
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