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Warning: this is an htmlized version!
The original is here, and the conversion rules are here. |
% (find-LATEX "2022-1-C3-MT1.tex")
% (defun c () (interactive) (find-LATEXsh "lualatex -record 2022-1-C3-MT1.tex" :end))
% (defun C () (interactive) (find-LATEXsh "lualatex 2022-1-C3-MT1.tex" "Success!!!"))
% (defun D () (interactive) (find-pdf-page "~/LATEX/2022-1-C3-MT1.pdf"))
% (defun d () (interactive) (find-pdftools-page "~/LATEX/2022-1-C3-MT1.pdf"))
% (defun e () (interactive) (find-LATEX "2022-1-C3-MT1.tex"))
% (defun o () (interactive) (find-LATEX "2022-1-C3-notacao-de-fisicos.tex"))
% (defun u () (interactive) (find-latex-upload-links "2022-1-C3-MT1"))
% (defun v () (interactive) (find-2a '(e) '(d)))
% (defun d0 () (interactive) (find-ebuffer "2022-1-C3-MT1.pdf"))
% (defun cv () (interactive) (C) (ee-kill-this-buffer) (v) (g))
% (code-eec-LATEX "2022-1-C3-MT1")
% (find-pdf-page "~/LATEX/2022-1-C3-MT1.pdf")
% (find-sh0 "cp -v ~/LATEX/2022-1-C3-MT1.pdf /tmp/")
% (find-sh0 "cp -v ~/LATEX/2022-1-C3-MT1.pdf /tmp/pen/")
% (find-xournalpp "/tmp/2022-1-C3-MT1.pdf")
% file:///home/edrx/LATEX/2022-1-C3-MT1.pdf
% file:///tmp/2022-1-C3-MT1.pdf
% file:///tmp/pen/2022-1-C3-MT1.pdf
% http://angg.twu.net/LATEX/2022-1-C3-MT1.pdf
% (find-LATEX "2019.mk")
% (find-sh0 "cd ~/LUA/; cp -v Pict2e1.lua Pict2e1-1.lua Piecewise1.lua ~/LATEX/")
% (find-sh0 "cd ~/LUA/; cp -v Pict2e1.lua Pict2e1-1.lua Pict3D1.lua ~/LATEX/")
% (find-CN-aula-links "2022-1-C3-MT1" "3" "c3m221mt1" "c3mt1")
% «.defs» (to "defs")
% «.title» (to "title")
% «.defs-miniteste» (to "defs-miniteste")
% «.questao» (to "questao")
% «.questao-e-gabarito» (to "questao-e-gabarito")
%
% «.djvuize» (to "djvuize")
% <videos>
% Video (not yet):
% (find-ssr-links "c3m221mt1" "2022-1-C3-MT1")
% (code-eevvideo "c3m221mt1" "2022-1-C3-MT1")
% (code-eevlinksvideo "c3m221mt1" "2022-1-C3-MT1")
% (find-c3m221mt1video "0:00")
\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{emaxima} % (find-LATEX "emaxima.sty")
%
%\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 "Pict2e1.lua" -- (find-LATEX "Pict2e1.lua")
%L dofile "Pict2e1-1.lua" -- (find-LATEX "Pict2e1-1.lua")
%L dofile "Piecewise1.lua" -- (find-LATEX "Piecewise1.lua")
%L Pict2e.__index.suffix = "%"
%L Pict2e.__index.suffix = "%"
\pu
\def\pictgridstyle{\color{GrayPale}\linethickness{0.3pt}}
\def\pictaxesstyle{\linethickness{0.5pt}}
\def\pictnaxesstyle{\color{GrayPale}\linethickness{0.5pt}}
\celllower=3pt
% «defs» (to ".defs")
% (find-LATEX "edrx21defs.tex" "colors")
% (find-LATEX "edrx21.sty")
\def\u#1{\par{\footnotesize \url{#1}}}
\def\drafturl{http://angg.twu.net/LATEX/2022-1-C3.pdf}
\def\drafturl{http://angg.twu.net/2022.1-C3.html}
\def\draftfooter{\tiny \href{\drafturl}{\jobname{}} \ColorBrown{\shorttoday{} \hours}}
% _____ _ _ _
% |_ _(_) |_| | ___ _ __ __ _ __ _ ___
% | | | | __| |/ _ \ | '_ \ / _` |/ _` |/ _ \
% | | | | |_| | __/ | |_) | (_| | (_| | __/
% |_| |_|\__|_|\___| | .__/ \__,_|\__, |\___|
% |_| |___/
%
% «title» (to ".title")
% (c3m221mt1p 1 "title")
% (c3m221mt1a "title")
\thispagestyle{empty}
\begin{center}
\vspace*{1.2cm}
{\bf \Large Cálculo 3 - 2022.1}
\bsk
Mini-teste 1
\bsk
Eduardo Ochs - RCN/PURO/UFF
\url{http://angg.twu.net/2022.1-C3.html}
\end{center}
\newpage
% «defs-miniteste» (to ".defs-miniteste")
% (c3m221mt1p 2 "defs-miniteste")
% (c3m221mt1a "defs-miniteste")
%
%L -- (find-angg "LUA/Pict2e1-1.lua" "Numerozinhos-test3")
%L Pict2e.bounds = PictBounds.new(v(-1,-1), v(11,11))
%L pyr = Numerozinhos.from(0, 0, [[
%L 0 0 0 0 0 0 0 0 0 0 0 0
%L 0 0 0 0 0 0 0 0 0 0 0 0
%L 0 0 0 0 0 0 0 1 0 0 0 0
%L 0 0 0 0 0 0 1 2 0 0 0 0
%L 0 0 0 0 0 1 2 3 1 0 0 0
%L 0 0 0 0 1 2 3 4 2 0 0 0
%L 0 0 0 1 2 3 4 5 3 1 0 0
%L 0 0 1 2 3 4 5 6 4 2 0 0
%L 0 0 0 0 1 2 3 4 2 0 0 0
%L 0 0 0 0 0 0 1 2 0 0 0 0
%L 0 0 0 0 0 0 0 0 0 0 0 0
%L 0 0 0 0 0 0 0 0 0 0 0 0 ]])
%L pyr_spec = "(1,4)--(7,10)--(10,4)--(7,1)--(1,4) (1,4)--(10,4) (7,1)--(7,10)"
%L pyr:topict(pyr_spec ):sa("piramide com linhas"):output()
\pu
\def\QUESTAO{
Seja $z=z(x,y)=F(x,y)$ a função
que dá a superfície desta pirâmide:
\msk
\unitlength=10pt
$\scalebox{0.75}{$\ga{piramide com linhas}$}
$
Lembre que:
$\frac{∂f}{∂𝐛v}(𝐛p) = \lim_{t→0} \frac{ f(𝐛p + t·𝐛v) - f(𝐛p) }{t} $
Digamos que $𝐛p = (5,3)$ e $𝐛v = \VEC{1,1}$.
Calcule $\frac{ f(𝐛p + t·𝐛v) - f(𝐛p) }{t}$ para $t=4$, $t=3$,
$t=2$, $t=1$, $t=\frac12$, $t=-1$, $t=-\frac12$.
}
\def\FA#1{\frac{ f(𝐛p + #1·𝐛v) - f(𝐛p) }{#1}}
\def\FB#1{\frac{ f((5,3) + #1·\VEC{1,1}) - f((5,3)) }{#1}}
\def\FC#1#2#3{\frac{ f((#2,#3)) - f((5,3)) }{#1}}
\def\GABARITO{
\hspace*{-1cm}
%
\scalebox{0.6}{$
\begin{tabular}[t]{l}
{\bf Gabarito:} \\
$\begin{array}{rcl}
\FA{4} &=& \FB{4} \\
&=& \FC 4 9 7 \\
&=& \frac{0-2}{4} \\
&=& -1/2 \\
\FA{3} %&=& \FB{4} \\
&=& \FC 3 8 6 \\
&=& \frac{2-2}{3} \\
&=& 0 \\
\FA{2} %&=& \FB{4} \\
&=& \FC 2 7 5 \\
&=& \frac{5-2}{2} \\
&=& 1 \\
\FA{1} %&=& \FB{4} \\
&=& \FC 1 6 4 \\
&=& \frac{5-2}{1} \\
&=& 3 \\
\FA{0.5} %&=& \FB{4} \\
&=& \FC {0.5} {5.5} {3.5} \\
&=& \frac{3.5-2}{0.5} \\
&=& 3 \\
\FA{(-0.5)} %&=& \FB{4} \\
&=& \FC {-0.5} {4.5} {2.5} \\
&=& \frac{0.5-2}{0.5} \\
&=& 3 \\
\FA{(-1)} %&=& \FB{4} \\
&=& \FC {-1} {4} {1} \\
&=& \frac{0-2}{-1} \\
&=& 2 \\
\end{array}
$
\end{tabular}
$}
}
\newpage
% «questao» (to ".questao")
% (c3m221mt1p 2 "questao")
% (c3m221mt1a "questao")
% (c3m221nfp 21 "low-poly")
% (c3m221nfa "low-poly")
\scalebox{1.0}{\def\colwidth{7cm}\firstcol{
\QUESTAO
}\anothercol{
}}
\newpage
% «questao-e-gabarito» (to ".questao-e-gabarito")
% (c3m221mt1p 3 "questao-e-gabarito")
% (c3m221mt1a "questao-e-gabarito")
\scalebox{1.0}{\def\colwidth{7cm}\firstcol{
\QUESTAO
}\anothercol{
\GABARITO
}}
\newpage
Obs:
Falta eu escrever como a gente descobre que
$f(5.5, 3.5) = 3.5$ e que $f(4.5, 2.5) = 0.5$...
%\printbibliography
\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 "~/2022.1-C3/")
# (find-fline "~/LATEX/2022-1-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 }
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 ~/2022.1-C3/
cp -fv $1.pdf ~/LATEX/2022-1-C3/
cat <<%%%
% (find-latexscan-links "C3" "$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=2022-1-C3-MT1 veryclean
make -f 2019.mk STEM=2022-1-C3-MT1 pdf
% Local Variables:
% coding: utf-8-unix
% ee-tla: "c3mt1"
% ee-tla: "c3m221mt1"
% End: