document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1153632>Question 1153632</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of x for which the tangent line to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%5E2+%2B+1 ALIGN=MIDDLE  ALT=\"y=2x%5E2+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > will be parallel to the tangent line to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+4ln%28x%29+-+3 ALIGN=MIDDLE  ALT=\"y+=+4ln%28x%29+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #775894 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=775894\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the value of x for which the tangent line to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%5E2+%2B+1 ALIGN=MIDDLE  ALT=\"y=2x%5E2+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > will be parallel to the tangent line to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+4ln%28x%29+-+3 ALIGN=MIDDLE  ALT=\"y+=+4ln%28x%29+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >?<BR>\n" );
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document.write( "Slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%5E2+%2B+1 ALIGN=MIDDLE  ALT=\"y=2x%5E2+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4x.<BR>\n" );
document.write( "Slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+4ln%28x%29+-+3 ALIGN=MIDDLE  ALT=\"y+=+4ln%28x%29+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4/x<BR>\n" );
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document.write( "4x = 4/x<BR>\n" );
document.write( "x = 1<BR>\n" );
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document.write( "The 2 slopes are 4 so they're parallel.<BR>\n" );
document.write( "There are an infinite # of other slopes tangent to the 2 curves that are parallel.<BR>\n" );
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document.write( "Mathlover switched to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+4ln%28x%29+%2B+3 ALIGN=MIDDLE  ALT=\"y+=+4ln%28x%29+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Maybe that's what you meant?<BR>\n" );
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document.write( "I'm not blind, but I do use reading glasses.<BR>\n" );
document.write( "IDK how I was supposed to spot the alleged plagiarism, but I'm not overly worried about that.<BR>\n" );
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document.write( "What I find interesting is that only x = 1 is a solution algebraically, but there are an infinite # of other lines that are parallel to the 2 graphs.<BR>\n" );
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