document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=73176>Question 73176</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle is placed under the parabolic arch by f(x)=27-3x^2 by using a point (x,y) on the parabola,as shown on the figure.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" );
document.write( "answers are:\r<BR>\n" );
document.write( "\n" );
document.write( "a.f(x)=6(27-3x^2)<BR>\n" );
document.write( "b.f(x)=27x-3x^3<BR>\n" );
document.write( "c.f(x)=54x-6x^3<BR>\n" );
document.write( "d.f(x)=162x-6x^3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52429 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=52429\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rectangle is placed under the parabolic arch by f(x)=27-3x^2 by using a point (x,y) on the parabola,as shown on the figure.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" );
document.write( "answers are: <BR>\n" );
document.write( "a.f(x)=6(27-3x^2)<BR>\n" );
document.write( "b.f(x)=27x-3x^3<BR>\n" );
document.write( "c.f(x)=54x-6x^3<BR>\n" );
document.write( "d.f(x)=162x-6x^3<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "I don't have the figure but you do.<BR>\n" );
document.write( "The base of the rectangle is 2x because it goes x to the right of the y axis<BR>\n" );
document.write( "and x to the left of the y axis.<BR>\n" );
document.write( "The height of the rectangle is y which equals 27-3x^2<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "The Area is base*height <BR>\n" );
document.write( "A(x) = (2x)(27-3x^2)<BR>\n" );
document.write( "A(x) = 54x -6x^3 which is answer \"c\".<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );