document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036453>Question 1036453</A>: <I><SPAN STYLE=\"word-break: break-all;\"> state the linear approximation of &#8730;99.95 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #651163 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=651163\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> state the linear approximation of &#8730;99.95 <BR>\n" );
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document.write( "L(x) = f(a) + f'(a)(x-a)<BR>\n" );
document.write( "a = 100<BR>\n" );
document.write( "f(x) = x^(1/2)<BR>\n" );
document.write( "f'(x) = 1/(2*sqrt(x))<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "L(sqrt(99.95)) = 10 + f'(100)(100-99.95)<BR>\n" );
document.write( "L(sqrt(99.95)) = 10 + 1/(2*10)*(-0.05)<BR>\n" );
document.write( "L(sqrt(99.95)) = 10 - 0.0025<BR>\n" );
document.write( "L(sqrt(99.95)) = 9.9975<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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