document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=63162>Question 63162</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A RECTANGLE IS PLACED UNDER THE PARABOLIC ARCH GIVEN BY f(x)=27-3x2 BY USING A POINT (x,y) ON A PARABOLA.  WRITE A FORMULA FOR THE FUNCTION A(x) THAT GIVES THE AREA OF THE RECTANGLE AS A FUNCTION OF THE x-COORDINATE OF THE POINT CHOSEN.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44094 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=44094\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A RECTANGLE IS PLACED UNDER THE PARABOLIC ARCH GIVEN BY f(x)=27-3x2 BY USING A POINT (x,y) ON A PARABOLA. WRITE A FORMULA FOR THE FUNCTION A(x) THAT GIVES THE AREA OF THE RECTANGLE AS A FUNCTION OF THE x-COORDINATE OF THE POINT CHOSEN<BR>\n" );
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document.write( "The axis of symmetry will be at 0<BR>\n" );
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document.write( "The height of the square will be y which is 27- 3x^2<BR>\n" );
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document.write( "Length of the square will be 2x<BR>\n" );
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document.write( "A(x) = 2x(27-3x^2)<BR>\n" );
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document.write( "An example when x = 2, Length = 4, y = 15 (height), Area = 15*4 = 60<BR>\n" );
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document.write( "A(2) = 2(2)(27 - 3(2^2)<BR>\n" );
document.write( "A(2) = 4(27 - 12)<BR>\n" );
document.write( "A(2) = 4(15)<BR>\n" );
document.write( "A(2) = 60\r<BR>\n" );
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document.write( "Looks kind of like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+6%2C+-10%2C+30%2C+-3x%5E2+%2B+27%2C+15%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+6%2C+-10%2C+30%2C+-3x%5E2+%2B+27%2C+15%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "A graph of the area of the rectangle equation: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-2%2C+6%2C+-10%2C+80%2C+-6x%5E3+%2B+54x+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-2%2C+6%2C+-10%2C+80%2C+-6x%5E3+%2B+54x+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "As you can probably see I have not done this particular problem before but got<BR>\n" );
document.write( "to thinking about it and this is what I came up, hope it's helpful </SPAN>\n" );
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