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Warning: this is an htmlized version!
The original is here, and the conversion rules are here. |
% (find-LATEX "2021-2-C2-MT1.tex")
% (defun c () (interactive) (find-LATEXsh "lualatex -record 2021-2-C2-MT1.tex" :end))
% (defun C () (interactive) (find-LATEXsh "lualatex 2021-2-C2-MT1.tex" "Success!!!"))
% (defun D () (interactive) (find-pdf-page "~/LATEX/2021-2-C2-MT1.pdf"))
% (defun d () (interactive) (find-pdftools-page "~/LATEX/2021-2-C2-MT1.pdf"))
% (defun e () (interactive) (find-LATEX "2021-2-C2-MT1.tex"))
% (defun o () (interactive) (find-LATEX "2021-2-C2-MT1.tex"))
% (defun u () (interactive) (find-latex-upload-links "2021-2-C2-MT1"))
% (defun v () (interactive) (find-2a '(e) '(d)))
% (defun d0 () (interactive) (find-ebuffer "2021-2-C2-MT1.pdf"))
% (defun cv () (interactive) (C) (ee-kill-this-buffer) (v) (g))
% (code-eec-LATEX "2021-2-C2-MT1")
% (find-pdf-page "~/LATEX/2021-2-C2-MT1.pdf")
% (find-sh0 "cp -v ~/LATEX/2021-2-C2-MT1.pdf /tmp/")
% (find-sh0 "cp -v ~/LATEX/2021-2-C2-MT1.pdf /tmp/pen/")
% (find-xournalpp "/tmp/2021-2-C2-MT1.pdf")
% file:///home/edrx/LATEX/2021-2-C2-MT1.pdf
% file:///tmp/2021-2-C2-MT1.pdf
% file:///tmp/pen/2021-2-C2-MT1.pdf
% http://angg.twu.net/LATEX/2021-2-C2-MT1.pdf
% (find-LATEX "2019.mk")
% (find-CN-aula-links "2021-2-C2-MT1" "2" "c2m212mt1" "c2mt1")
%
% Video (not yet):
% (find-ssr-links "c2m212mt1" "2021-2-C2-MT1" "{naoexiste}")
% (find-c2m212mt1video "0:00")
% «.defs» (to "defs")
% «.title» (to "title")
% «.regras» (to "regras")
% «.itens-a-b-c» (to "itens-a-b-c")
% «.gabarito» (to "gabarito")
%
% «.djvuize» (to "djvuize")
\documentclass[oneside,12pt]{article}
\usepackage[colorlinks,citecolor=DarkRed,urlcolor=DarkRed]{hyperref} % (find-es "tex" "hyperref")
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{pict2e}
\usepackage[x11names,svgnames]{xcolor} % (find-es "tex" "xcolor")
\usepackage{colorweb} % (find-es "tex" "colorweb")
%\usepackage{tikz}
%
% (find-dn6 "preamble6.lua" "preamble0")
%\usepackage{proof} % For derivation trees ("%:" lines)
%\input diagxy % For 2D diagrams ("%D" lines)
%\xyoption{curve} % For the ".curve=" feature in 2D diagrams
%
\usepackage{edrx21} % (find-LATEX "edrx21.sty")
\input edrxaccents.tex % (find-LATEX "edrxaccents.tex")
\input edrx21chars.tex % (find-LATEX "edrx21chars.tex")
\input edrxheadfoot.tex % (find-LATEX "edrxheadfoot.tex")
\input edrxgac2.tex % (find-LATEX "edrxgac2.tex")
%
%\usepackage[backend=biber,
% style=alphabetic]{biblatex} % (find-es "tex" "biber")
%\addbibresource{catsem-slides.bib} % (find-LATEX "catsem-slides.bib")
%
% (find-es "tex" "geometry")
\usepackage[a6paper, landscape,
top=1.5cm, bottom=.25cm, left=1cm, right=1cm, includefoot
]{geometry}
%
\begin{document}
%\catcode`\^^J=10
%\directlua{dofile "dednat6load.lua"} % (find-LATEX "dednat6load.lua")
% %L dofile "edrxtikz.lua" -- (find-LATEX "edrxtikz.lua")
% %L dofile "edrxpict.lua" -- (find-LATEX "edrxpict.lua")
% \pu
% «defs» (to ".defs")
% (find-LATEX "edrx21defs.tex" "colors")
% (find-LATEX "edrx21.sty")
\def\drafturl{http://angg.twu.net/LATEX/2021-2-C2.pdf}
\def\drafturl{http://angg.twu.net/2021.2-C2.html}
\def\draftfooter{\tiny \href{\drafturl}{\jobname{}} \ColorBrown{\shorttoday{} \hours}}
% _____ _ _ _
% |_ _(_) |_| | ___ _ __ __ _ __ _ ___
% | | | | __| |/ _ \ | '_ \ / _` |/ _` |/ _ \
% | | | | |_| | __/ | |_) | (_| | (_| | __/
% |_| |_|\__|_|\___| | .__/ \__,_|\__, |\___|
% |_| |___/
%
% «title» (to ".title")
% (c2m212mt1p 1 "title")
% (c2m212mt1a "title")
\thispagestyle{empty}
\begin{center}
\vspace*{1.2cm}
{\bf \Large Cálculo 2 - 2021.2}
\bsk
Mini-teste 1
\bsk
Eduardo Ochs - RCN/PURO/UFF
\url{http://angg.twu.net/2021.2-C2.html}
\end{center}
\newpage
% «regras» (to ".regras")
% (c2m212mt1p 2 "regras")
% (c2m212mt1a "regras")
As regras vão ser as mesmas dos
mini-testes dos semestres anteriores:
\ssk
{\footnotesize
% (c2m202mt1p 2 "regras")
% (c2m202mt1a "regras")
\url{http://angg.twu.net/LATEX/2020-2-C2-MT1.pdf#page=2}
}
(Leia com muita atenção!!!!!!!!!!!)
\bsk
As questões vão ser disponibilizadas às 20:45 da sexta
12/novembro/2021 e vocês vão ter até as 20:45 do sábado
13/novembro/2021 pra entregar as respostas.
\newpage
Vamos usar a mesma função $f(x)$ do exercício 12...
Esta aqui:
% (c2m212somas1p 21 "exercicio-12")
% (c2m212somas1a "exercicio-12")
% (find-latexscan-links "C2" "20211111_somas_1_ex_12")
% (find-xpdf-page "~/LATEX/2021-2-C2/20211111_somas_1_ex_12.pdf")
\centerline{$\includegraphics[height=5cm]{2021-2-C2/20211111_somas_1_ex_12.pdf}$}
Faça uma cópia dela à mão para cada item do mini-teste.
Não tem problema se as cópias ficarem meio tortas.
\newpage
% «itens-a-b-c» (to ".itens-a-b-c")
% (c2m212mt1p 4 "itens-a-b-c")
% (c2m212mt1a "itens-a-b-c")
\def\r#1{(\frac{#1}{2})}
\def\F#1{f(x_#1)}
\def\G#1#2{\r{f(x_#1)+f(x_#2)}}
\def\H#1#2{f(x_#2)-f(x_#1)}
\def\H#1#2{ x_#2 - x_#1 }
\def\T#1#2{\G#1#2(\H#1#2)}
a) (0.1 pts) Represente graficamente sobre a primeira cópia:
\ssk
$ \F1(x_1-x_0)
+ \F2(x_2-x_1)
+ \F3(x_4-x_2)
$
\bsk
b) (0.1 pts) Represente graficamente sobre a segunda cópia:
\ssk
$ \F0(x_1-x_0)
+ \F1(x_2-x_1)
+ \F4(x_4-x_2)
$
\bsk
c) (0.3 pts) Represente graficamente sobre a terceira cópia
a interpretação da expressão abaixo como trapézios
\ColorRed{e} a interpretação dela como retângulos:
\msk
$\begin{array}{c}\T01 \\ + \; \T12 \\ \; + \T24\end{array}$
\newpage
% «gabarito» (to ".gabarito")
% (c2m212mt1p 5 "gabarito")
% (c2m212mt1a "gabarito")
{\bf Gabarito:}
\def\incgr#1{$\myvcenter{\includegraphics[height=2cm]{#1}}$}
\def\incgr#1{\;\;\; $\myvcenter{\includegraphics[height=2cm]{#1}}$}
\def\incgr#1{\;\;\; $\myvcenter{\includegraphics[height=3.5cm]{#1}}$}
\def\incgr#1{$\myvcenter{\includegraphics[height=3.5cm]{#1}}$}
\begin{tabular}{lll}
%
a)
% (find-latexscan-links "C2" "20211111_somas_1_ex_12_mt1_a")
% (find-xpdf-page "~/LATEX/2021-2-C2/20211111_somas_1_ex_12_mt1_a.pdf")
\incgr{2021-2-C2/20211111_somas_1_ex_12_mt1_a.pdf}
&
b)
% (find-latexscan-links "C2" "20211111_somas_1_ex_12_mt1_b")
% (find-xpdf-page "~/LATEX/2021-2-C2/20211111_somas_1_ex_12_mt1_b.pdf")
\incgr{2021-2-C2/20211111_somas_1_ex_12_mt1_b.pdf}
\\
c)
% (find-latexscan-links "C2" "20211111_somas_1_ex_12_mt1_c")
% (find-xpdf-page "~/LATEX/2021-2-C2/20211111_somas_1_ex_12_mt1_c.pdf")
\incgr{2021-2-C2/20211111_somas_1_ex_12_mt1_c.pdf}
\end{tabular}
\newpage
Obs: tinha um error de digitação na questão (a)...
Compare:
$ \F1(x_1-x_0)
+ \F2(x_2-x_1)
+ \F3(x_4-x_2)
$
$ \F1(x_1-x_0)
+ \F2(x_2-x_1)
+ \F4(x_4-x_2)
$
Eu queria ter escrito a segunda, com $f(x_4)$,
mas me distraí e escrevi a primeira, com $f(x_3)$.
\ssk
O gabarito da (a) no slide anterior corresponde
à expressão com $f(x_4)$.
\GenericWarning{Success:}{Success!!!} % Used by `M-x cv'
\end{document}
% ____ _ _
% | _ \(_)_ ___ _(_)_______
% | | | | \ \ / / | | | |_ / _ \
% | |_| | |\ V /| |_| | |/ / __/
% |____// | \_/ \__,_|_/___\___|
% |__/
%
% «djvuize» (to ".djvuize")
% (find-LATEXgrep "grep --color -nH --null -e djvuize 2020-1*.tex")
* (eepitch-shell)
* (eepitch-kill)
* (eepitch-shell)
# (find-fline "~/2021.2-C2/")
# (find-fline "~/LATEX/2021-2-C2/")
# (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 }
f () { rm -v $1.pdf; textcleaner -f 50 -o 20 $1.jpg $1.png; djvuize $1.pdf; xpdf $1.pdf }
f () { rm -fv $1.png $1.pdf; djvuize $1.pdf }
f () { rm -fv $1.png $1.pdf; djvuize WHITEBOARDOPTS="-m 1.0 -f 15" $1.pdf; xpdf $1.pdf }
f () { rm -fv $1.png $1.pdf; djvuize WHITEBOARDOPTS="-m 1.0 -f 30" $1.pdf; xpdf $1.pdf }
f () { rm -fv $1.png $1.pdf; djvuize WHITEBOARDOPTS="-m 1.0 -f 45" $1.pdf; xpdf $1.pdf }
f () { rm -fv $1.png $1.pdf; djvuize WHITEBOARDOPTS="-m 0.5" $1.pdf; xpdf $1.pdf }
f () { rm -fv $1.png $1.pdf; djvuize WHITEBOARDOPTS="-m 0.25" $1.pdf; xpdf $1.pdf }
f () { cp -fv $1.png $1.pdf ~/2021.2-C2/
cp -fv $1.pdf ~/LATEX/2021-2-C2/
cat <<%%%
% (find-latexscan-links "C2" "$1")
%%%
}
f 20201213_area_em_funcao_de_theta
f 20201213_area_em_funcao_de_x
f 20201213_area_fatias_pizza
% __ __ _
% | \/ | __ _| | _____
% | |\/| |/ _` | |/ / _ \
% | | | | (_| | < __/
% |_| |_|\__,_|_|\_\___|
%
% <make>
* (eepitch-shell)
* (eepitch-kill)
* (eepitch-shell)
# (find-LATEXfile "2019planar-has-1.mk")
make -f 2019.mk STEM=2021-2-C2-MT1 veryclean
make -f 2019.mk STEM=2021-2-C2-MT1 pdf
% Local Variables:
% coding: utf-8-unix
% ee-tla: "c2mt1"
% ee-tla: "c2m212mt1"
% End: