document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031551>Question 1031551</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I AM KIND OF STUCK IN THIS QUESTION CAN SOMEONE PLEASE HELP ME DETAILED <BR>\n" );
document.write( "a)Create a simplified function that represents the sum of an unknown  positive number x and its reciprocal.\r<BR>\n" );
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document.write( "b)For what whole number is the sum of the number and its reciprocal the smallest?  In your solution, you may want to include a graph the function.<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 #646233 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=646233\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)Create a simplified function that represents the sum of an unknown positive number x and its reciprocal.<BR>\n" );
document.write( "f(x) = x + (1/x)<BR>\n" );
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document.write( "b)For what whole number is the sum of the number and its reciprocal the smallest? In your solution, you may want to include a graph the.<BR>\n" );
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document.write( "f'(x) = 1 + ln(x)<BR>\n" );
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document.write( "Solve:: 1 + ln(x) = 0<BR>\n" );
document.write( "ln(x) = -1<BR>\n" );
document.write( "x = 1/e<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx+%2B+1%2Fx%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx+%2B+1%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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