document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=556283>Question 556283</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the equation of the normal to the curve representing the function f (x) = 3sqrt (x), to the point where x = 9.\r<BR>\n" );
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document.write( "thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #362139 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=362139\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the equation of the normal to the curve representing the function f (x) = 3sqrt (x), to the point where x = 9.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+3x%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+3x%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f'(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A%281%2F2%29%2Ax%5E%28-1%2F2%29+=+3%2F%282sqrt%28x%29%29 ALIGN=MIDDLE  ALT=\"3%2A%281%2F2%29%2Ax%5E%28-1%2F2%29+=+3%2F%282sqrt%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f'(9) = 1/2<BR>\n" );
document.write( "f(9) = 9<BR>\n" );
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document.write( "Slope m of normal = -2<BR>\n" );
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document.write( "y = mx + b<BR>\n" );
document.write( "9 = -2*9 + b<BR>\n" );
document.write( "b = 27<BR>\n" );
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document.write( "--> y = -2x + 27\r<BR>\n" );
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