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% (find-LATEX "2021-2-C3-VS.tex")
% (defun c () (interactive) (find-LATEXsh "lualatex -record 2021-2-C3-VS.tex" :end))
% (defun C () (interactive) (find-LATEXsh "lualatex 2021-2-C3-VS.tex" "Success!!!"))
% (defun D () (interactive) (find-pdf-page "~/LATEX/2021-2-C3-VS.pdf"))
% (defun d () (interactive) (find-pdftools-page "~/LATEX/2021-2-C3-VS.pdf"))
% (defun e () (interactive) (find-LATEX "2021-2-C3-VS.tex"))
% (defun o () (interactive) (find-LATEX "2021-2-C3-VS.tex"))
% (defun u () (interactive) (find-latex-upload-links "2021-2-C3-VS"))
% (defun v () (interactive) (find-2a '(e) '(d)))
% (defun d0 () (interactive) (find-ebuffer "2021-2-C3-VS.pdf"))
% (defun cv () (interactive) (C) (ee-kill-this-buffer) (v) (g))
% (code-eec-LATEX "2021-2-C3-VS")
% (find-pdf-page "~/LATEX/2021-2-C3-VS.pdf")
% (find-sh0 "cp -v ~/LATEX/2021-2-C3-VS.pdf /tmp/")
% (find-sh0 "cp -v ~/LATEX/2021-2-C3-VS.pdf /tmp/pen/")
% (find-xournalpp "/tmp/2021-2-C3-VS.pdf")
% file:///home/edrx/LATEX/2021-2-C3-VS.pdf
% file:///tmp/2021-2-C3-VS.pdf
% file:///tmp/pen/2021-2-C3-VS.pdf
% http://angg.twu.net/LATEX/2021-2-C3-VS.pdf
% (find-LATEX "2019.mk")
% (find-CN-aula-links "2021-2-C3-VS" "3" "c3m212vs" "c3vs")
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% (find-ssr-links "c3m212vs" "2021-2-C3-VS")
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% (find-c3m212vsvideo "0:00")
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% «defs-T-and-B» (to ".defs-T-and-B")
% (c3m202p1p 6 "questao-2")
% (c3m202p1a "questao-2")
\long\def\ColorOrange#1{{\color{orange!90!black}#1}}
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%
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\thispagestyle{empty}
\begin{center}
\vspace*{1.2cm}
{\bf \Large Cálculo 3 - 2021.2}
\bsk
Prova final (VS)
\bsk
Eduardo Ochs - RCN/PURO/UFF
\url{http://angg.twu.net/2021.2-C3.html}
\end{center}
\newpage
As regras e dicas são as mesmas das provas e dos mini-testes,
mas a prova vai ser disponibilizada às 16:30 da sexta
11/fev/2021 e deve ser entregue até as 20:00 do sábado
12/fev/2021.
\bsk
Organize muito bem as suas respostas.
\bsk
Veja o PDFzão com todos os PDFzinhos do curso:
\ssk
{\footnotesize
\url{http://angg.twu.net/LATEX/2021-2-C3-tudo.pdf}
}
\newpage
\def\derivs{\mathsf{derivs}}
{\bf Questão 1.}
\T(Total: 3.0 pts)
\msk
Seja $f(x)=\ln x$.
\msk
a) \B(1.0 pts) Calcule $\derivs_1^2(f(x))$.
b) \B(2.0 pts) Use isto pra calcular uma boa aproximação para $f(1.1)$.
\bsk
Faça todas as suas contas à mão.
Tem material sobre esse assunto aqui:
\ssk
{\footnotesize
% (c3tup 131)
% http://angg.twu.net/LATEX/2021-2-C3-tudo.pdf#page=131
\url{http://angg.twu.net/LATEX/2021-2-C3-tudo.pdf#page=131}
}
\newpage
% (c3tup 71)
% (c3m212nfp 21 "derivadas-parciais-th")
% (c3m212nfa "derivadas-parciais-th")
% (find-books "__analysis/__analysis.el" "thompson")
% (find-sthompsonpage (+ 11 172) "XVI. Partial Differentiation")
% (find-sthompsonpage (+ 11 178) "(5)")
{\bf Questão 2.}
\T(Total: 7.0 pts)
\msk
Faça o exercício (5) da página 178 do Thompson usando exatamente a
versão dele da ``notação de físicos'' e seguindo todas as convenções
notacionais dele. Faça as suas contas bem passo a passo.
Obs: ele define ``total differentials'' na página 173, e você pode
usar o ``useful dodge'' do capítulo IX dele (o ``truque das variáveis
novas'') se você achar que ajuda.
Você vai precisar fazer outros exercícios mais fáceis do Thompson pra
pegar o jeito. Inclua eles na sua resposta.
\bsk
\newpage
{\bf Questão 2: dicas}
\msk
Sugiro que você faça essa questão uma primeira vez no dia em que você
receber a prova e revise ela com muito cuidado várias vezes, umas no
mesmo dia e outras no dia seguinte... é comum idéias complicadas
ficarem mais fáceis quando a gente dorme.
\msk
Tem bastante material sobre notação de físicos aqui,
\ssk
{\footnotesize
% (c3tup 71)
% http://angg.twu.net/LATEX/2021-2-C3-tudo.pdf#page=71
\url{http://angg.twu.net/LATEX/2021-2-C3-tudo.pdf#page=71}
}
\ssk
e tem muitas idéias importantes que estão nos vídeos e não estão nos
PDFs.
% Ideias:
% ALguns
% (c3tup 33)
% (c3tup 38)
% (c3tup 47)
% (c3tup 61)
% (c3tup 69)
% (c3tup 71)
% (c3m212nfp 21 "derivadas-parciais-th")
% (c3m212nfa "derivadas-parciais-th")
% (c3tup 92)
% (c3tup 101)
% (c3tup 106)
% (c3tup 129)
% (c3tup 132)
%\printbibliography
\GenericWarning{Success:}{Success!!!} % Used by `M-x cv'
\end{document}
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% «djvuize» (to ".djvuize")
% (find-LATEXgrep "grep --color -nH --null -e djvuize 2020-1*.tex")
* (eepitch-shell)
* (eepitch-kill)
* (eepitch-shell)
# (find-fline "~/2021.2-C3/")
# (find-fline "~/LATEX/2021-2-C3/")
# (find-fline "~/bin/djvuize")
cd /tmp/
for i in *.jpg; do echo f $(basename $i .jpg); done
f () { rm -v $1.pdf; textcleaner -f 50 -o 5 $1.jpg $1.png; djvuize $1.pdf; xpdf $1.pdf }
f () { rm -v $1.pdf; textcleaner -f 50 -o 10 $1.jpg $1.png; djvuize $1.pdf; xpdf $1.pdf }
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f () { cp -fv $1.png $1.pdf ~/2021.2-C3/
cp -fv $1.pdf ~/LATEX/2021-2-C3/
cat <<%%%
% (find-latexscan-links "C3" "$1")
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}
f 20201213_area_em_funcao_de_theta
f 20201213_area_em_funcao_de_x
f 20201213_area_fatias_pizza
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% <make>
* (eepitch-shell)
* (eepitch-kill)
* (eepitch-shell)
# (find-LATEXfile "2019planar-has-1.mk")
make -f 2019.mk STEM=2021-2-C3-VS veryclean
make -f 2019.mk STEM=2021-2-C3-VS pdf
% Local Variables:
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% ee-tla: "c3m212vs"
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