document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=934068>Question 934068</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a curve (dy/dx) = x^1/2-x^-1/2 the curve passes through point (4,2/3) \r<BR>\n" );
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document.write( "•find the equation of the curve \r<BR>\n" );
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document.write( "•find (d^2y/dx^2) \r<BR>\n" );
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document.write( "•find stationary points and determine its nature  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568036 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=568036\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Integrate,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=x%5E%281%2F2%29-x%5E%28-1%2F2%29 ALIGN=MIDDLE  ALT=\"dy%2Fdx=x%5E%281%2F2%29-x%5E%28-1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%282%2F3%29x%5E%283%2F2%29%2B2x%5E%281%2F2%29%2BC ALIGN=MIDDLE  ALT=\"y=%282%2F3%29x%5E%283%2F2%29%2B2x%5E%281%2F2%29%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the point to solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C ALIGN=MIDDLE  ALT=\"C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3=%282%2F3%294%5E%283%2F2%29%2B2%2A4%5E%281%2F2%29%2BC ALIGN=MIDDLE  ALT=\"2%2F3=%282%2F3%294%5E%283%2F2%29%2B2%2A4%5E%281%2F2%29%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3=%282%2F3%298%2B4%2BC ALIGN=MIDDLE  ALT=\"2%2F3=%282%2F3%298%2B4%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=-26%2F3 ALIGN=MIDDLE  ALT=\"C=-26%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%282%2F3%29x%5E%283%2F2%29%2B2x%5E%281%2F2%29-26%2F3%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%282%2F3%29x%5E%283%2F2%29%2B2x%5E%281%2F2%29-26%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28dy%2Fdx%29%2Fdx=%281%2F2%29x%5E%28-1%2F2%29%2B%281%2F2%29x%5E%28-3%2F2%29 ALIGN=MIDDLE  ALT=\"d%28dy%2Fdx%29%2Fdx=%281%2F2%29x%5E%28-1%2F2%29%2B%281%2F2%29x%5E%28-3%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%282%2F3%29x%5E%283%2F2%29%2B2x%5E%281%2F2%29-26%2F3%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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