document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1185013>Question 1185013</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the dimensions and the area of the largest rectangle that can be fit under the graph of y = sin(x), 0 <= x <= π, if one side of the rectangle lies on the positive 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 #815709 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=815709\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28+600%2C+600%2C+-0.5%2C+4%2C+-0.5%2C+3%2C%0D%0Acircle%280.7%2C0%2C.03%29%2C+locate%280.3%2C-0.1%2Cx%29%2Cgreen%28line%280.7%2C0.65%2C0.7%2C0%29%29%2C%0D%0Alocate%281.5%2C-0.1%2C%28pi-2x%29%29%2Ccircle%282.44%2C0%2C.03%29%2Clocate%282.8%2C-0.1%2Cx%29%2C%0D%0Agreen%28line%282.44%2C0.65%2C2.44%2C0%29%29%2Cgreen%28line%280.7%2C0.65%2C2.44%2C0.65%29%29%2C%0D%0Alocate%280.5%2C-0.1%2Cp%28x%2C0%29%29%2Clocate%280.5%2C0.8%2Cp%28x%2Csin%28x%29%29%29%2C+circle%280.7%2C0.65%2C.03%29%2Ccircle%280.7%2C0%2C.03%29%2C%0D%0Acircle%28pi%2C0%2C.03%29%2Clocate%28pi%2C0.1%2Cpi%29%2C%0D%0A%0D%0Agraph%28+600%2C+600%2C+-0.5%2C+4%2C+-0.5%2C+3%2C+sin%28x%29%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the area of the largest rectangle:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=L%2AW ALIGN=MIDDLE  ALT=\"A=L%2AW\"   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=L=pi-2x ALIGN=MIDDLE  ALT=\"L=pi-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=sin%28x%29 ALIGN=MIDDLE  ALT=\"W=sin%28x%29\"   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=A=%28pi-2x%29%2Asin%28x%29 ALIGN=MIDDLE  ALT=\"A=%28pi-2x%29%2Asin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "to maximize, take derivative\r<BR>\n" );
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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;\" >'=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi-2x%29%2Acos%28x%29-2sin%28x%29 ALIGN=MIDDLE  ALT=\"%28pi-2x%29%2Acos%28x%29-2sin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "equal it to zero\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi-2x%29%2Acos%28x%29-2sin%28x%29=0 ALIGN=MIDDLE  ALT=\"%28pi-2x%29%2Acos%28x%29-2sin%28x%29=0\"   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=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > ≈ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.710462737775517 ALIGN=MIDDLE  ALT=\"0.710462737775517\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=pi-2%2A0.710462737775517=1.720667178038759 ALIGN=MIDDLE  ALT=\"L=pi-2%2A0.710462737775517=1.720667178038759\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=sin%280.710462737775517%29=0.652184623909187 ALIGN=MIDDLE  ALT=\"W=sin%280.710462737775517%29=0.652184623909187\"   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=A=1.720667178038759%2A0.652184623909187 ALIGN=MIDDLE  ALT=\"A=1.720667178038759%2A0.652184623909187\"   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=A+ ALIGN=MIDDLE  ALT=\"A+\"   DISABLED_style= \"max-width:90%; height:auto;\" >≈ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.12 ALIGN=MIDDLE  ALT=\"1.12\"   DISABLED_style= \"max-width:90%; height:auto;\" > square units\r<BR>\n" );
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document.write( " </SPAN>\n" );
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