document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1099809>Question 1099809</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bug is moving along the right side of the parabola y = x^2 at a rate such that its distance from the origin is increasing at 3 cm/min. At what rates are the x and y coordinates of the bug increasing when the bug is at the point (6,36)? Please state the x coordinate and the y coordinate. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #714306 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=714306\">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=V=sqrt%28%28dx%2Fdt%29%5E2%2B%28dy%2Fdt%29%5E2%29 ALIGN=MIDDLE  ALT=\"V=sqrt%28%28dx%2Fdt%29%5E2%2B%28dy%2Fdt%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%28%28dx%2Fdt%29%5E2%2B%28dy%2Fdt%29%5E2%29=3 ALIGN=MIDDLE  ALT=\"sqrt%28%28dx%2Fdt%29%5E2%2B%28dy%2Fdt%29%5E2%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28dx%2Fdt%29%5E2%2B%28dy%2Fdt%29%5E2=9 ALIGN=MIDDLE  ALT=\"%28dx%2Fdt%29%5E2%2B%28dy%2Fdt%29%5E2=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2 ALIGN=MIDDLE  ALT=\"y=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdt=2x%2A%28dx%2Fdt%29 ALIGN=MIDDLE  ALT=\"dy%2Fdt=2x%2A%28dx%2Fdt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28dx%2Fdt%29%5E2%2B%282x%2A%28dx%2Fdt%29%29%5E2=9 ALIGN=MIDDLE  ALT=\"%28dx%2Fdt%29%5E2%2B%282x%2A%28dx%2Fdt%29%29%5E2=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28dx%2Fdt%29%5E2%2B4x%5E2%28dx%2Fdt%29%5E2=9 ALIGN=MIDDLE  ALT=\"%28dx%2Fdt%29%5E2%2B4x%5E2%28dx%2Fdt%29%5E2=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28dx%2Fdt%29%5E2%281%2B4x%5E2%29=9 ALIGN=MIDDLE  ALT=\"%28dx%2Fdt%29%5E2%281%2B4x%5E2%29=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28dx%2Fdt%29%5E2=9%2F%281%2B4x%5E2%29 ALIGN=MIDDLE  ALT=\"%28dx%2Fdt%29%5E2=9%2F%281%2B4x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6 ALIGN=MIDDLE  ALT=\"x=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28dx%2Fdt%29%5E2=9%2F%281%2B4%286%29%5E2%29 ALIGN=MIDDLE  ALT=\"%28dx%2Fdt%29%5E2=9%2F%281%2B4%286%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=%28dx%2Fdt%29%5E2=9%2F%281%2B4%2836%29%29 ALIGN=MIDDLE  ALT=\"%28dx%2Fdt%29%5E2=9%2F%281%2B4%2836%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28dx%2Fdt%29%5E2=9%2F%281%2B144%29 ALIGN=MIDDLE  ALT=\"%28dx%2Fdt%29%5E2=9%2F%281%2B144%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28dx%2Fdt%29%5E2=9%2F145 ALIGN=MIDDLE  ALT=\"%28dx%2Fdt%29%5E2=9%2F145\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dx%2Fdt=3%2Fsqrt%28145%29 ALIGN=MIDDLE  ALT=\"dx%2Fdt=3%2Fsqrt%28145%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm%2Fmin ALIGN=MIDDLE  ALT=\"cm%2Fmin\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then from above,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdt=2x%28dx%2Fdt%29 ALIGN=MIDDLE  ALT=\"dy%2Fdt=2x%28dx%2Fdt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdt=2%286%29%289%2Fsqrt%28145%29%29 ALIGN=MIDDLE  ALT=\"dy%2Fdt=2%286%29%289%2Fsqrt%28145%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdt=108%2Fsqrt%28145%29 ALIGN=MIDDLE  ALT=\"dy%2Fdt=108%2Fsqrt%28145%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm%2Fmin ALIGN=MIDDLE  ALT=\"cm%2Fmin\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );