document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1025563>Question 1025563</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the AREA bounded by the graphs of the given equations:\r<BR>\n" );
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document.write( "1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+x%5E2+-+6x+%2B+5+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+x%5E2+-+6x+%2B+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g%28x%29+=+x+-+5+ ALIGN=MIDDLE  ALT=\"+g%28x%29+=+x+-+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5E2+=+x+ ALIGN=MIDDLE  ALT=\"+y%5E2+=+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B+2y+=+3+ ALIGN=MIDDLE  ALT=\"+x%2B+2y+=+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 #640839 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=640839\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-+6x+%2B+5++=+x+-+5+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+6x+%2B+5++=+x+-+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-7x+%2B+10+=+0 ALIGN=MIDDLE  ALT=\"x%5E2-7x+%2B+10+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> (x-2)(x-5) = 0<BR>\n" );
document.write( "==> the two graphs intersect at x = 2, 5.\r<BR>\n" );
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document.write( "==> Area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28%28x-5-%28x%5E2+-+6x+%2B+5%29%29%2C+dx%2C+2%2C5%29+=+int%28%28-x%5E2+%2B+7x+-+10%29%2C+dx%2C+2%2C5%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The antiderivative is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E3%2F3+%2B+%287x%5E2%29%2F2+-10x ALIGN=MIDDLE  ALT=\"-x%5E3%2F3+%2B+%287x%5E2%29%2F2+-10x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The area is then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%5E3%2F3+%2B+%287%2A5%5E2%29%2F2+-10%2A5+-+%28-2%5E3%2F3+%2B+%287%2A2%5E2%29%2F2+-10%2A2%29+=+9%2F2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "2.  The graphs of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5E2+=+x+ ALIGN=MIDDLE  ALT=\"+y%5E2+=+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B+2y+=+3+ ALIGN=MIDDLE  ALT=\"+x%2B+2y+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > intersect at y = -3, 1.<BR>\n" );
document.write( "==> Area =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28%283-2y-y%5E2%29%2C+dy%2C+-3%2C1%29%29 ALIGN=MIDDLE  ALT=\"int%28%283-2y-y%5E2%29%2C+dy%2C+-3%2C1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The antiderivative is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y+-+y%5E2+-+y%5E3%2F3 ALIGN=MIDDLE  ALT=\"3y+-+y%5E2+-+y%5E3%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A1+-+1%5E2+-+1%5E3%2F3+-+%283%2A-3+-+%28-3%29%5E2+-+%28-3%29%5E3%2F3%29+=+32%2F3 ALIGN=MIDDLE  ALT=\"3%2A1+-+1%5E2+-+1%5E3%2F3+-+%283%2A-3+-+%28-3%29%5E2+-+%28-3%29%5E3%2F3%29+=+32%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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