document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=988657>Question 988657</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the area enclosed by the curve x=t^2 - 2t, y=sqrt(t) and the y-axis. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #609149 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=609149\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the area enclosed by the curve x=t^2 - 2t, y=sqrt(t) and the y-axis.<BR>\n" );
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document.write( "Eliminate t<BR>\n" );
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document.write( "x=t^2 - 2t<BR>\n" );
document.write( "y=sqrt(t) --> t = y^2<BR>\n" );
document.write( "x = y^4 - 2y^2<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "The area is the same as y = x^4 - 2x^2 and the x-axis<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Find the 2 x-intercepts:<BR>\n" );
document.write( "x = 0 is one.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+2+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+2+=+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+=+sqrt%282%29 ALIGN=MIDDLE  ALT=\"x+=+sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=================-<BR>\n" );
document.write( "INT(x^4 - 2x^2) = x^5/5 - 2x^3/3<BR>\n" );
document.write( "Area = |<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%282%29%29%5E5%2F5+-+2%28sqrt%282%29%29%5E3%2F3 ALIGN=MIDDLE  ALT=\"%28sqrt%282%29%29%5E5%2F5+-+2%28sqrt%282%29%29%5E3%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >|<BR>\n" );
document.write( "=~ 0.754247 sq units </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );