document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=964045>Question 964045</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to find the integral of y=0.1x^2 between the domain?\r<BR>\n" );
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document.write( "We have to create a flower petal as part of our assignment so it will form a design in a quilt. So i am assuming that with the two functions you would have to integrate the functions to find the area so then it can be found out what the area of shaded to unshaded ratio is. \r<BR>\n" );
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document.write( "The two functions that form this petal are:<BR>\n" );
document.write( "y=0.1x^2<BR>\n" );
document.write( "y= sqrt (10x)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #588974 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=588974\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First find the limits of integration.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2810x%29=0.1x%5E2 ALIGN=MIDDLE  ALT=\"sqrt%2810x%29=0.1x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x=0.01x%5E4 ALIGN=MIDDLE  ALT=\"10x=0.01x%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x-0.01x%5E4=0 ALIGN=MIDDLE  ALT=\"10x-0.01x%5E4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2810-0.01x%5E3%29=0 ALIGN=MIDDLE  ALT=\"x%2810-0.01x%5E3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two solutions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10-0.01x%5E3=0 ALIGN=MIDDLE  ALT=\"10-0.01x%5E3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.01x%5E3=10 ALIGN=MIDDLE  ALT=\"0.01x%5E3=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3=1000 ALIGN=MIDDLE  ALT=\"x%5E3=1000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=10 ALIGN=MIDDLE  ALT=\"x=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=eta.JPG\">.<BR>\n" );
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document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=int%28%28sqrt%2810x%29-0.1x%5E2%29%2Cdx%2Cx=0%2C10%29 ALIGN=MIDDLE  ALT=\"A=int%28%28sqrt%2810x%29-0.1x%5E2%29%2Cdx%2Cx=0%2C10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=sqrt%2810%29%282%2F3%29x%5E%283%2F2%29-x%5E3%2F30%2BC ALIGN=MIDDLE  ALT=\"A=sqrt%2810%29%282%2F3%29x%5E%283%2F2%29-x%5E3%2F30%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then evaluating between the limits,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%282%2F3%29100-100%2F3 ALIGN=MIDDLE  ALT=\"A=%282%2F3%29100-100%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=100%2F3 ALIGN=MIDDLE  ALT=\"A=100%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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