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[SPAM] [obm-l] Re: [obm-l] função contínua
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Artur, note que f(a)=3Da e f(b)=3Db , como a<b segue que f(a)<f(b). =
Assim f n=E3o pode ser estritamente decrescente, n=E3o acha? Quanto ao =
enunciado =E9 esse mesmo. Esta quest=E3o est=E1 na p=E1g 107 ( quest=E3o =
19) do livro ADVANCED CALCULUS=20
Autor: Angus E. Taylor
valew
Cgomes
----- Original Message -----=20
From: Artur Costa Steiner=20
To: obm-l@xxxxxxxxxxxxxx=20
Sent: Monday, February 11, 2008 2:50 PM
Subject: RES: [obm-l] fun=E7=E3o cont=EDnua
Da forma como est=E1 colocada, a afirma=E7=E3o n=E3o =E9 verdadeira.=20
Se f for estritamente decrescente, ent=E3o f' eh sempre negativa em =
(a, b) e n=E3o ha como a sua express=E3o dar 2, pois =E9 sempre =
negativa.=20
Nao estah faltando aguma hipotese?
Artur
-----Mensagem original-----
De: owner-obm-l@xxxxxxxxxxxxxx [mailto:owner-obm-l@xxxxxxxxxxxxxx]Em =
nome de Carlos Gomes
Enviada em: domingo, 10 de fevereiro de 2008 09:42
Para: obm-l@xxxxxxxxxxxxxx
Assunto: [obm-l] fun=E7=E3o cont=EDnua
----- Original Message -----=20
From: Carlos Gomes=20
To: obm-l@xxxxxxxxxxxxxx=20
Sent: Saturday, February 09, 2008 7:45 AM
Subject: fun=E7=E3o cont=EDnua
Ol=E1 amigos...ser=E1 que algu=E9m pode me ajudar com essa?
Seja f uma fun=E7=E3o cont=EDnua em [a,b] e diferenci=E1vel em (a,b) =
tal que f(a)=3Da e f(b)=3Db. Mostre que existem x_1 e x_2 tais que a< =
x_1 < x_2 < b tais que 1/f ' (x_1) + 1/f ' (x_2) =3D 2.
Valew, Cgomes
__________ Informa=E7=E3o do NOD32 IMON 1.1189 (20050808) __________
Esta mensagem foi verificada pelo NOD32 sistema antiv=EDrus
http://www.eset.com.br
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<META http-equiv=3DContent-Type content=3D"text/html; =
charset=3Diso-8859-1">
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<STYLE></STYLE>
</HEAD>
<BODY bgColor=3D#ffffff>
<DIV><FONT face=3DArial size=3D2>Artur, note que f(a)=3Da e f(b)=3Db , =
como a<b segue=20
que f(a)<f(b). Assim f n=E3o pode ser estritamente decrescente, n=E3o =
acha?=20
Quanto ao enunciado =E9 esse mesmo. Esta quest=E3o est=E1 na p=E1g 107 ( =
quest=E3o 19) do=20
livro ADVANCED CALCULUS </FONT></DIV>
<DIV><FONT face=3DArial size=3D2>Autor: Angus E. Taylor</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2>valew</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2>Cgomes</FONT></DIV>
<BLOCKQUOTE=20
style=3D"PADDING-RIGHT: 0px; PADDING-LEFT: 5px; MARGIN-LEFT: 5px; =
BORDER-LEFT: #000000 2px solid; MARGIN-RIGHT: 0px">
<DIV style=3D"FONT: 10pt arial">----- Original Message ----- </DIV>
<DIV=20
style=3D"BACKGROUND: #e4e4e4; FONT: 10pt arial; font-color: =
black"><B>From:</B>=20
<A title=3Dartur.steiner@xxxxxxxxxx =
href=3D"mailto:artur.steiner@xxxxxxxxxx">Artur=20
Costa Steiner</A> </DIV>
<DIV style=3D"FONT: 10pt arial"><B>To:</B> <A =
title=3Dobm-l@xxxxxxxxxxxxxx=20
href=3D"mailto:obm-l@xxxxxxxxxxxxxx">obm-l@xxxxxxxxxxxxxx</A> </DIV>
<DIV style=3D"FONT: 10pt arial"><B>Sent:</B> Monday, February 11, 2008 =
2:50=20
PM</DIV>
<DIV style=3D"FONT: 10pt arial"><B>Subject:</B> RES: [obm-l] =
fun=E7=E3o=20
cont=EDnua</DIV>
<DIV><BR></DIV>
<DIV><SPAN class=3D685574617-11022008><FONT face=3DArial =
color=3D#0000ff size=3D2>Da=20
forma como est=E1 colocada, a afirma=E7=E3o n=E3o =E9 verdadeira. =
</FONT></SPAN></DIV>
<DIV><SPAN class=3D685574617-11022008><FONT face=3DArial =
color=3D#0000ff=20
size=3D2></FONT></SPAN> </DIV>
<DIV><SPAN class=3D685574617-11022008><FONT face=3DArial =
color=3D#0000ff size=3D2>Se f=20
for estritamente decrescente, ent=E3o f' eh sempre negativa em (a, b) =
e n=E3o=20
ha como a sua express=E3o dar 2, pois =E9 sempre =
negativa.=20
</FONT></SPAN></DIV>
<DIV><SPAN class=3D685574617-11022008><FONT face=3DArial =
color=3D#0000ff=20
size=3D2></FONT></SPAN> </DIV>
<DIV><SPAN class=3D685574617-11022008><FONT face=3DArial =
color=3D#0000ff size=3D2>Nao=20
estah faltando aguma hipotese?</FONT></SPAN></DIV>
<DIV><SPAN class=3D685574617-11022008><FONT face=3DArial =
color=3D#0000ff=20
size=3D2>Artur</FONT></SPAN></DIV>
<BLOCKQUOTE dir=3Dltr style=3D"MARGIN-RIGHT: 0px">
<DIV class=3DOutlookMessageHeader dir=3Dltr align=3Dleft><FONT =
face=3DTahoma=20
size=3D2>-----Mensagem original-----<BR><B>De:</B> <A=20
=
href=3D"mailto:owner-obm-l@xxxxxxxxxxxxxx">owner-obm-l@xxxxxxxxxxxxxx</A>=
=20
[mailto:owner-obm-l@xxxxxxxxxxxxxx]<B>Em nome de </B>Carlos=20
Gomes<BR><B>Enviada em:</B> domingo, 10 de fevereiro de 2008=20
09:42<BR><B>Para:</B> obm-l@xxxxxxxxxxxxxx<BR><B>Assunto:</B> =
[obm-l] fun=E7=E3o=20
cont=EDnua<BR><BR></FONT></DIV>
<DIV> </DIV>
<DIV style=3D"FONT: 10pt arial">----- Original Message -----=20
<DIV style=3D"BACKGROUND: #e4e4e4; font-color: black"><B>From:</B> =
<A=20
title=3Dcgmat@xxxxxxxxxxxxxx =
href=3D"mailto:cgmat@xxxxxxxxxxxxxx">Carlos=20
Gomes</A> </DIV>
<DIV><B>To:</B> <A title=3Dobm-l@xxxxxxxxxxxxxx=20
href=3D"mailto:obm-l@xxxxxxxxxxxxxx">obm-l@xxxxxxxxxxxxxx</A> </DIV>
<DIV><B>Sent:</B> Saturday, February 09, 2008 7:45 AM</DIV>
<DIV><B>Subject:</B> fun=E7=E3o cont=EDnua</DIV></DIV>
<DIV><BR></DIV>
<DIV><FONT face=3DArial size=3D2>Ol=E1 amigos...ser=E1 que algu=E9m =
pode me ajudar com=20
essa?</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2>Seja f uma fun=E7=E3o cont=EDnua em =
[a,b] e=20
diferenci=E1vel em (a,b) tal que f(a)=3Da e f(b)=3Db. Mostre que =
existem x_1 e x_2=20
tais que a< x_1 < x_2 < b tais que 1/f ' (x_1) =
+ 1/f '=20
(x_2) =3D 2.</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2>Valew,=20
Cgomes</FONT></DIV></BLOCKQUOTE><BR><BR>__________ Informa=E7=E3o do =
NOD32 IMON=20
1.1189 (20050808) __________<BR><BR>Esta mensagem foi verificada pelo =
NOD32=20
sistema antiv=EDrus<BR><A=20
=
href=3D"http://www.eset.com.br">http://www.eset.com.br</A><BR></BLOCKQUOT=
E></BODY></HTML>
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