document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1166990>Question 1166990</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using the modified Newton  -  Raphson method, find the solutions<BR>\n" );
document.write( "accurate to within 10−7<BR>\n" );
document.write( "to the following problems\r<BR>\n" );
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document.write( "a. 𝑓(𝑥) = 𝑒x − 𝑥 − 1 for 0 ≤ 𝑥 ≤ 1 [HINT: p0 = 1]\r<BR>\n" );
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document.write( "the x before e is a power( so its e power x)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #791564 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=791564\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ f(x)\ =\ e^x\ -\ x\ -\ 1\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ f(1)\ =\ e\ -\ 2\ \approx\ 0.718281\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ f(0)\ =\ 1\ -\ 0\ -\ 1\ =\ 0\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{df}{dx}\ =\ e^x\ -\ 1\ \geq\ 0\ \text{on}\ 0\ \leq\ x\ \leq\ 1\"> \r<BR>\n" );
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document.write( "Therefore the function is constantly increasing on the given interval, hence <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\ =\ 0\"> is the absolute minimum on the given interval and is therefore the only zero of the function on the interval.\r<BR>\n" );
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document.write( "So why do you need Newton-Raphson?\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "I > Ø<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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