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[SPAM] [obm-l] =?utf-8?Q?Re:_=5Bobm-l=5D_POLIN=C3=94MIOS?=

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Subject: [SPAM] [obm-l] =?utf-8?Q?Re:_=5Bobm-l=5D_POLIN=C3=94MIOS?=
From: "Ricardo J.F." <ricgjf@xxxxxxxxxxxx>
Date: Fri, 2 Mar 2007 09:40:23 -0300
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f(x)=3Dx^3+3x^2+9x+9

=20

lim(x=C2=AE+=C2=A5)=3D+=C2=A5

lim(x=C2=AE-=C2=A5)=3D-=C2=A5

x=3D0   f(x)=3D9

f=C2=B4(x)=3D0   3x^2+6x+9=3D0  D<0 =20

fazendo um esbo=C3=A7o do grafico veremos que ele tem 1 raiz real

=20

f(x)=3Dx^3-3x^2-6x+2

=20

+=C2=A5 =C2=AE+=C2=A5

-=C2=A5 =C2=AE -=C2=A5

x=3D0 =C2=AE f(x)=3D2

f=C2=B4(x)=3D3x^2-6x-6=3D0  x=3D1=C2=B1=E2=88=9A3

f=C2=B4=C2=B4(x)=3D6(x-1) =C2=AE f`=C2=B4=C2=B4(1+=E2=88=9A3)>0 , =
f=C2=B4=C2=B4(1-=E2=88=9A3)<0

1+=E2=88=9A3 =C3=A9 ponto de m=C3=ADnimo e f(1+=E2=88=9A3)=3D =
-6(1+=E2=88=9A3)<0

1-=E2=88=9A3 =C3=A9 ponto de maximo =20

Analisando o gr=C3=A1fico veremos que ele tem 3 ra=C3=ADzes reais

=20

[]s,Ricardo J.F.

------=_NextPart_000_000B_01C75CAE.CD0DD850
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	charset="utf-8"
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=EF=BB=BF<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD>
<META http-equiv=3DContent-Type content=3D"text/html; charset=3Dutf-8">
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<BODY bgColor=3D#ffffff>
<DIV><FONT face=3DArial size=3D2>
<P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt"><SPAN lang=3DEN-US=20
style=3D"mso-ansi-language: EN-US"><FONT size=3D3><FONT=20
face=3D"Times New Roman">f(x)=3Dx^3+3x^2+9x+9<?xml:namespace prefix =3D =
o ns =3D=20
"urn:schemas-microsoft-com:office:office" =
/><o:p></o:p></FONT></FONT></SPAN></P>
<P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt"><SPAN lang=3DEN-US=20
style=3D"mso-ansi-language: EN-US"><FONT size=3D3><FONT face=3D"Times =
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yes">&nbsp;</SPAN><o:p></o:p></FONT></FONT></SPAN></P>
<P class=3DMsoNormal=20
style=3D"MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><FONT =
size=3D3><SPAN=20
lang=3DEN-US style=3D"mso-ansi-language: EN-US"><FONT=20
face=3D"Times New Roman">lim(x</FONT></SPAN><SPAN=20
style=3D"FONT-FAMILY: Symbol; mso-bidi-font-family: =
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lang=3DEN-US style=3D"mso-ansi-language: EN-US"><FONT=20
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style=3D"FONT-FAMILY: Symbol; mso-bidi-font-family: =
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lang=3DEN-US=20
style=3D"FONT-SIZE: 8.5pt; FONT-FAMILY: 'MS Shell Dlg'; =
mso-ansi-language: EN-US"><o:p></o:p></SPAN></FONT></P>
<P class=3DMsoNormal=20
style=3D"MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><FONT =
size=3D3><SPAN=20
lang=3DEN-US style=3D"mso-ansi-language: EN-US"><FONT=20
face=3D"Times New Roman">lim(x</FONT></SPAN><SPAN=20
style=3D"FONT-FAMILY: Symbol; mso-bidi-font-family: =
Symbol">=C2=AE</SPAN><SPAN=20
lang=3DEN-US style=3D"mso-ansi-language: EN-US"><FONT=20
face=3D"Times New Roman">-</FONT></SPAN><SPAN=20
style=3D"FONT-FAMILY: Symbol; mso-bidi-font-family: =
Symbol">=C2=A5</SPAN><SPAN=20
lang=3DEN-US style=3D"mso-ansi-language: EN-US"><FONT=20
face=3D"Times New Roman">)=3D-</FONT></SPAN><SPAN=20
style=3D"FONT-FAMILY: Symbol; mso-bidi-font-family: =
Symbol">=C2=A5</SPAN><SPAN=20
lang=3DEN-US=20
style=3D"FONT-SIZE: 8.5pt; FONT-FAMILY: 'MS Shell Dlg'; =
mso-ansi-language: EN-US"><o:p></o:p></SPAN></FONT></P>
<P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt"><SPAN lang=3DEN-US=20
style=3D"mso-ansi-language: EN-US"><FONT size=3D3><FONT=20
face=3D"Times New Roman">x=3D0<SPAN style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;=20
</SPAN>f(x)=3D9<o:p></o:p></FONT></FONT></SPAN></P>
<P class=3DMsoNormal=20
style=3D"MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><FONT =
size=3D3><SPAN=20
lang=3DEN-US style=3D"mso-ansi-language: EN-US"><FONT=20
face=3D"Times New Roman">f=C2=B4(x)=3D0<SPAN style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;=20
</SPAN>3x^2+6x+9=3D0<SPAN style=3D"mso-spacerun: yes">&nbsp;=20
</SPAN></FONT></SPAN><SPAN=20
style=3D"FONT-FAMILY: Symbol; mso-bidi-font-family: =
Symbol">D</SPAN><FONT=20
face=3D"Times New Roman"><SPAN lang=3DEN-US=20
style=3D"mso-ansi-language: EN-US">&lt;0<SPAN style=3D"mso-spacerun: =
yes">&nbsp;=20
</SPAN></SPAN><SPAN=20
style=3D"FONT-SIZE: 8.5pt; FONT-FAMILY: 'MS Shell =
Dlg'"><o:p></o:p></SPAN></FONT></FONT></P>
<P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt"><FONT face=3D"Times =
New Roman"=20
size=3D3>fazendo um esbo=C3=A7o do grafico veremos que ele tem 1 raiz =
real</FONT></P>
<P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt"><o:p><FONT =
face=3D"Times New Roman"=20
size=3D3>&nbsp;</FONT></o:p></P>
<P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt"><FONT face=3D"Times =
New Roman"=20
size=3D3>f(x)=3Dx^3-3x^2-6x+2</FONT></P>
<P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt"><o:p><FONT =
face=3D"Times New Roman"=20
size=3D3>&nbsp;</FONT></o:p></P>
<P class=3DMsoNormal=20
style=3D"MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><FONT =
size=3D3><SPAN=20
lang=3DEN-US style=3D"mso-ansi-language: EN-US"><FONT=20
face=3D"Times New Roman">+</FONT></SPAN><SPAN=20
style=3D"FONT-FAMILY: Symbol; mso-bidi-font-family: =
Symbol">=C2=A5</SPAN><SPAN=20
style=3D"mso-ansi-language: EN-US"><FONT face=3D"Times New Roman">=20
</FONT></SPAN><SPAN=20
style=3D"FONT-FAMILY: Symbol; mso-bidi-font-family: =
Symbol">=C2=AE</SPAN><SPAN=20
lang=3DEN-US style=3D"mso-ansi-language: EN-US"><FONT=20
face=3D"Times New Roman">+</FONT></SPAN><SPAN=20
style=3D"FONT-FAMILY: Symbol; mso-bidi-font-family: =
Symbol">=C2=A5</SPAN><SPAN=20
style=3D"FONT-SIZE: 8.5pt; FONT-FAMILY: 'MS Shell =
Dlg'"><o:p></o:p></SPAN></FONT></P>
<P class=3DMsoNormal=20
style=3D"MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><FONT =
size=3D3><SPAN=20
lang=3DEN-US style=3D"mso-ansi-language: EN-US"><FONT=20
face=3D"Times New Roman">-</FONT></SPAN><SPAN=20
style=3D"FONT-FAMILY: Symbol; mso-bidi-font-family: Symbol">=C2=A5 =
=C2=AE</SPAN><SPAN=20
lang=3DEN-US style=3D"mso-ansi-language: EN-US"><FONT face=3D"Times New =
Roman">=20
-</FONT></SPAN><SPAN=20
style=3D"FONT-FAMILY: Symbol; mso-bidi-font-family: =
Symbol">=C2=A5</SPAN><SPAN=20
style=3D"FONT-SIZE: 8.5pt; FONT-FAMILY: 'MS Shell =
Dlg'"><o:p></o:p></SPAN></FONT></P>
<P class=3DMsoNormal=20
style=3D"MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><FONT =
size=3D3><SPAN=20
lang=3DEN-US style=3D"mso-ansi-language: EN-US"><FONT face=3D"Times New =
Roman">x=3D0=20
</FONT></SPAN><SPAN=20
style=3D"FONT-FAMILY: Symbol; mso-bidi-font-family: =
Symbol">=C2=AE</SPAN><FONT=20
face=3D"Times New Roman"><SPAN lang=3DEN-US style=3D"mso-ansi-language: =
EN-US">=20
f(x)=3D2</SPAN><SPAN=20
style=3D"FONT-SIZE: 8.5pt; FONT-FAMILY: 'MS Shell =
Dlg'"><o:p></o:p></SPAN></FONT></FONT></P>
<P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt"><SPAN lang=3DEN-US=20
style=3D"mso-ansi-language: EN-US"><FONT size=3D3><FONT=20
face=3D"Times New Roman">f=C2=B4(x)=3D3x^2-6x-6=3D0<SPAN =
style=3D"mso-spacerun: yes">&nbsp;=20
</SPAN>x=3D1=C2=B1=E2=88=9A3<o:p></o:p></FONT></FONT></SPAN></P>
<P class=3DMsoNormal=20
style=3D"MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none"><FONT =
size=3D3><FONT=20
face=3D"Times New Roman">f=C2=B4=C2=B4(x)=3D6(x-1) </FONT><SPAN=20
style=3D"FONT-FAMILY: Symbol; mso-bidi-font-family: =
Symbol">=C2=AE</SPAN><FONT=20
face=3D"Times New Roman"> f`=C2=B4=C2=B4(1+=E2=88=9A3)&gt;0 , =
f=C2=B4=C2=B4(1-=E2=88=9A3)&lt;0<SPAN=20
style=3D"FONT-SIZE: 8.5pt; FONT-FAMILY: 'MS Shell =
Dlg'"><o:p></o:p></SPAN></FONT></FONT></P>
<P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt"><FONT size=3D3><FONT=20
face=3D"Times New Roman">1+=E2=88=9A3 =C3=A9 ponto de m=C3=ADnimo e =
f(1+=E2=88=9A3)=3D=20
-6(1+=E2=88=9A3)&lt;0<o:p></o:p></FONT></FONT></P>
<P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt"><FONT size=3D3><FONT=20
face=3D"Times New Roman">1-=E2=88=9A3 =C3=A9 ponto de maximo <SPAN=20
style=3D"mso-spacerun: yes">&nbsp;</SPAN></FONT></FONT></P>
<P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt"><FONT face=3D"Times =
New Roman"=20
size=3D3>Analisando o gr=C3=A1fico veremos que ele tem 3 ra=C3=ADzes =
reais</FONT></P>
<P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt"><o:p><FONT =
face=3D"Times New Roman"=20
size=3D3>&nbsp;</FONT></o:p></P>
<P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt"><FONT face=3D"Times =
New Roman"=20
size=3D3>[]s,Ricardo J.F.</FONT></P></FONT></DIV></BODY></HTML>

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