document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1005325>Question 1005325</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem:\r<BR>\n" );
document.write( "\n" );
document.write( "Show that the expression for the slope of the secant line through y=x^2 +3x at x=3 and x=3+h is msec=9+h. \r<BR>\n" );
document.write( "\n" );
document.write( "Sketch the graph of y=x^2 +3x showing a sequence of secant lines described in the previous question as h approaches 0.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #621705 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=621705\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The function is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2+%2B3x ALIGN=MIDDLE  ALT=\"y=x%5E2+%2B3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The secant requested is the straight line that passes through points<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%5BA%5D=3%2Cy%5BA%5D=3%5E2%2B3%2A3=9%2B9=18%29 ALIGN=MIDDLE  ALT=\"system%28x%5BA%5D=3%2Cy%5BA%5D=3%5E2%2B3%2A3=9%2B9=18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B ALIGN=MIDDLE  ALT=\"B\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%5BB%5D=3%2Bh%2Cy%5BB%5D=%283%2Bh%29%5E2%5E2%2B3%283%2Bh%29=9%2B6h%2Bh%5E2%2B9%2B3h=18%2B9h%2Bh%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The slope of secant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB ALIGN=MIDDLE  ALT=\"AB\"   DISABLED_style= \"max-width:90%; height:auto;\" > is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28y%5BB%5D-y%5BA%5D%29%2F%28x%5BB%5D-x%5BA%5D%29 ALIGN=MIDDLE  ALT=\"m=%28y%5BB%5D-y%5BA%5D%29%2F%28x%5BB%5D-x%5BA%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%2818%2B9h%2Bh%5E2-18%29%2F%283%2Bh-3%29 ALIGN=MIDDLE  ALT=\"m=%2818%2B9h%2Bh%5E2-18%29%2F%283%2Bh-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%289h%2Bh%5E2%29%2Fh ALIGN=MIDDLE  ALT=\"m=%289h%2Bh%5E2%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=h%289%2Bh%29%2Fh ALIGN=MIDDLE  ALT=\"m=h%289%2Bh%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28m=9%2Bh%29 ALIGN=MIDDLE  ALT=\"highlight%28m=9%2Bh%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The graph with the secants for h=1, h=2, and h=3 are shown below.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28900%2C600%2C-1%2C7%2C-5%2C55%2Cx%5E2%2B3x%2C12%28x-3%29%2B18%2C11%28x-3%29%2B18%2C10%28x-3%29%2B18%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );