document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=517244>Question 517244</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car leaves an intersection traveling east. Its position t sec later is given by<BR>\n" );
document.write( "x = t^2 + t<BR>\n" );
document.write( "ft. At the same time, another car leaves the same intersection heading north, traveling<BR>\n" );
document.write( "y = t^2 + 3t ft<BR>\n" );
document.write( "in t sec. Find the rate at which the distance between the two cars will be changing 3 sec later.? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #344710 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=344710\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A car leaves an intersection traveling east. Its position t sec later is given by<BR>\n" );
document.write( "x = t^2 + t<BR>\n" );
document.write( "ft. At the same time, another car leaves the same intersection heading north, traveling<BR>\n" );
document.write( "y = t^2 + 3t ft<BR>\n" );
document.write( "in t sec. Find the rate at which the distance between the two cars will be changing 3 sec later.?<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28t%29+=+sqrt%28%28t%5E2%2Bt%29%5E2+%2B+%28t%5E2%2B3t%29%5E2%29 ALIGN=MIDDLE  ALT=\"d%28t%29+=+sqrt%28%28t%5E2%2Bt%29%5E2+%2B+%28t%5E2%2B3t%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282t%5E4+%2B+8t%5E3+%2B+10t%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%282t%5E4+%2B+8t%5E3+%2B+10t%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "d'(t) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A%282t%5E4+%2B+8t%5E3+%2B+10t%5E2%29%5E%28-1%2F2%29%2A%288t%5E3+%2B+24t%5E2+%2B+20t%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d'(3) = (216 + 216 + 60)/(2(162 + 216 + 90))<BR>\n" );
document.write( "= 492/936<BR>\n" );
document.write( "= 41/78 ft/sec<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );