document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=870320>Question 870320</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A particle P moves in a circular trajectory with radius 2 metres. its speed as a function of the angle X (measured in radians in an anti-clockwise direction) between the positive x-axis and OP is given V(X)= (X)/(X^2 +1).<BR>\n" );
document.write( "determine what distance the particle has travelled when P reaches its maximum speed.<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 #525068 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=525068\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Max speed occurs when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dV%2FdX=0 ALIGN=MIDDLE  ALT=\"dV%2FdX=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dV%2FdX=%28%28X%5E2%2B1%29-X%282X%29%29%2F%28X%5E2%2B1%29%5E2=%281-X%5E2%29%2F%28X%5E2%2B1%29%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dV%2FdX=0 ALIGN=MIDDLE  ALT=\"dV%2FdX=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-X%5E2=0 ALIGN=MIDDLE  ALT=\"1-X%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%5E2=1 ALIGN=MIDDLE  ALT=\"X%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=1 ALIGN=MIDDLE  ALT=\"X=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
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document.write( ".\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=R%2AX ALIGN=MIDDLE  ALT=\"S=R%2AX\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=2%2A1=2 ALIGN=MIDDLE  ALT=\"S=2%2A1=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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