document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1027708>Question 1027708</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An equation is given: r^2 + 2st^(1/2) = rt.<BR>\n" );
document.write( "A) Find ds/dr<BR>\n" );
document.write( "B) Find dr/dt<BR>\n" );
document.write( "C) Find dt/ds<BR>\n" );
document.write( "D) Find dr/ds </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #642990 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=642990\">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=r%5E2+%2B+2st%5E%281%2F2%29+=+rt ALIGN=MIDDLE  ALT=\"r%5E2+%2B+2st%5E%281%2F2%29+=+rt\"   DISABLED_style= \"max-width:90%; height:auto;\" > is an implicit function of three variables.\r<BR>\n" );
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document.write( "(A) The partial derivative ds/dr is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2r+%2B+2%28ds%2Fdr%29t%5E%281%2F2%29+=+t ALIGN=MIDDLE  ALT=\"2r+%2B+2%28ds%2Fdr%29t%5E%281%2F2%29+=+t\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ds%2Fdr+=+%28t+-+2r%29%2F+%282t%5E%281%2F2%29%29 ALIGN=MIDDLE  ALT=\"ds%2Fdr+=+%28t+-+2r%29%2F+%282t%5E%281%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "(B)  The partial derivative dr/dt is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2r%28dr%2Fdt%29+%2B+2s%281%2F2%29%281%2Ft%5E%281%2F2%29%29+=+%28dr%2Fdt%29t+%2B+r ALIGN=MIDDLE  ALT=\"2r%28dr%2Fdt%29+%2B+2s%281%2F2%29%281%2Ft%5E%281%2F2%29%29+=+%28dr%2Fdt%29t+%2B+r\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2r%28dr%2Fdt%29+%2B+s%2Ft%5E%281%2F2%29+=+%28dr%2Fdt%29t+%2B+r ALIGN=MIDDLE  ALT=\"2r%28dr%2Fdt%29+%2B+s%2Ft%5E%281%2F2%29+=+%28dr%2Fdt%29t+%2B+r\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282r+-+t%29%28dr%2Fdt%29+=+r+-+s%2Ft%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"%282r+-+t%29%28dr%2Fdt%29+=+r+-+s%2Ft%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dr%2Fdt+=+%28r+-+s%2Ft%5E%281%2F2%29%29%2F%282r+-+t%29 ALIGN=MIDDLE  ALT=\"dr%2Fdt+=+%28r+-+s%2Ft%5E%281%2F2%29%29%2F%282r+-+t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I leave parts (C) and (D) for you to practice on. </SPAN>\n" );
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