document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=949897>Question 949897</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I find the average rate of change for G(x) = 3x^3 - 5x. From x=a, to x=t\r<BR>\n" );
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document.write( "How do I find the average rate of change: F(x) = 3/(x^2) - 2x. ARC from a to b.\r<BR>\n" );
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document.write( "Please help<BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #579963 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=579963\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Average = (f(a)-f(t))/(a-t)<BR>\n" );
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document.write( "find the average rate of change for G(x) = 3x^3 - 5x. From x=a, to x=t<BR>\n" );
document.write( "ave = [3a^3-5a - (3t^3-5t)] / (a-t)<BR>\n" );
document.write( "= [3(a^3-t^3)-5(a-t)] / [a-t]<BR>\n" );
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document.write( "= [a^2+at+t^2 - 5]<BR>\n" );
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document.write( "How do I find the average rate of change: F(x) = 3/(x^2) - 2x. ARC from a to b.<BR>\n" );
document.write( "Ave = [[3/a^2)-(2a) - [(3/b^2)-2b]] / (a-b)<BR>\n" );
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document.write( "= [3[1/a^2- 1/b^2]-[2(a-b)]/(a-b)<BR>\n" );
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document.write( "= [-3(a^2-b^2)/a^2b^2 - 2(a-b)]/(a-b)<BR>\n" );
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document.write( "= [-3(a+b)/a^2b^2 - 2]<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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