document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=55443>Question 55443</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi there.  I submitted some problems last Friday, but havent heard anything.  If someone has time and is willing to lend soem brain power, I would really appreciate the help.\r<BR>\n" );
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document.write( "1. Consider the function f(x)=2.0x^3 + 4.5x^2.  What are the coordinate pairs of the relative maximum and the relative minimum of f(x) in the interval {xI-3<x<3}  I know that looks like the letter I, but it is supposed to be a line.  Sorry!\r<BR>\n" );
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document.write( "2.In what interval or intervals is the function in problem #1 increasing or decreasing?  Use set notation as in question # to indicate the answer.\r<BR>\n" );
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document.write( "3. What is the greatest integer less than -10.5?\r<BR>\n" );
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document.write( "4. Given that f(x)=x^2+6 and g(x)=x-4, find the composite function f(g(x)).\r<BR>\n" );
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document.write( "Thank you for your time.<BR>\n" );
document.write( "Angela </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #37633 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=37633\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there. I submitted some problems last Friday, but havent heard anything. If someone has time and is willing to lend soem brain power, I would really appreciate the help. <BR>\n" );
document.write( "1. Consider the function f(x)=2.0x^3 + 4.5x^2. What are the coordinate pairs of the relative maximum and the relative minimum of f(x) in the interval {xI-3 <BR>\n" );
document.write( "F(X)=X^2(2X+4.5).....THE ZEROS ARE X=0...AND 2X+4.5=0...OR..X=-4.5/2=-2.25<BR>\n" );
document.write( "IN INCREASING ORDER THEY ARE -2.25 AND 0...<BR>\n" );
document.write( "HENCE F(X) IS + VE AND INCREASING FOR X>0<BR>\n" );
document.write( "F(X)=0 AT X=0<BR>\n" );
document.write( "F(X) IS -VE IN THE INTERVAL (-2.25,0)<BR>\n" );
document.write( "F(X)=0 AT X=-2.25<BR>\n" );
document.write( "F(X) IS POSITIVE FOR X<-2.25<BR>\n" );
document.write( "F'(X)= 6X^2+9X =0......3X(2X+3)=0......2 EXTREMA ARE AT X=0 AND X=-3/2<BR>\n" );
document.write( "SEE GRAPH BELOW..F(X) HAS A LOCAL MAXIMUM FOR X IN (-2,0)...<BR>\n" );
document.write( "MAXIMUM POINT IS (-3/2 ,27/8)<BR>\n" );
document.write( "AND A LOCAL MINIMUM FOR X IN (-1,1)...MINIMUM POINT IS (0,0)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%282%2Ax%2B4.5%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%282%2Ax%2B4.5%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "2.In what interval or intervals is the function in problem #1 increasing or decreasing? Use set notation as in question # to indicate the answer. <BR>\n" );
document.write( "ALREADY INDICATED ABOVE\r<BR>\n" );
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document.write( "3. What is the greatest integer less than -10.5?<BR>\n" );
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document.write( "-11........-10.5.........-10<BR>\n" );
document.write( "HENCE -11 IS THE GREATEST INTEGER LESS THAN -10.5<BR>\n" );
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document.write( "4. Given that f(x)=x^2+6 and g(x)=x-4, find the composite function f(g(x)). <BR>\n" );
document.write( "PUT G(X) =Y =X-4<BR>\n" );
document.write( "F(G(X)) = F(Y)= Y^2+6 = (X-4)^2+6=X^2+16-8X+6= X^2-8X+22\r<BR>\n" );
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document.write( "Thank you for your time.<BR>\n" );
document.write( "Angela<BR>\n" );
document.write( " </SPAN>\n" );
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