document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=440073>Question 440073</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the area of the region bounded by the<BR>\n" );
document.write( "curve y = 5x — x2., x =0, x = 5 and lying<BR>\n" );
document.write( "above the x-axis. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #304078 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=304078\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Looking at the graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+300%2C+300%2C+-7%2C+7%2C+-7%2C+7%2C+5x+-+x%5E2+%29 ALIGN=MIDDLE  ALT=\"graph%28+300%2C+300%2C+-7%2C+7%2C+-7%2C+7%2C+5x+-+x%5E2+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The parabolic segment of which we want the area has width w = 5, and height h = 25/4.<BR>\n" );
document.write( "Hence by the formula of a parabolic segment, \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%282%2F3%29wh+=+%282%2F3%29%2A5%2A%2825%2F4%29+=+125%2F6 ALIGN=MIDDLE  ALT=\"A+=+%282%2F3%29wh+=+%282%2F3%29%2A5%2A%2825%2F4%29+=+125%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > square units.\r<BR>\n" );
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document.write( "If we used integral, we get the same area value:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+int%28%285x+-+x%5E2%29%2C+dx%2C+0%2C+5%29+=+%28%285x%5E2%29%2F2+-+x%5E3%2F3%29%5B0%5D%5E5 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125%2F2+-+125%2F3+=+125%2F6 ALIGN=MIDDLE  ALT=\"125%2F2+-+125%2F3+=+125%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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