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Warning: this is an htmlized version!
The original is here, and the conversion rules are here. |
% (find-LATEX "2023-2-C3-dicas-pra-P2.tex")
% (defun c () (interactive) (find-LATEXsh "lualatex -record 2023-2-C3-dicas-pra-P2.tex" :end))
% (defun C () (interactive) (find-LATEXsh "lualatex 2023-2-C3-dicas-pra-P2.tex" "Success!!!"))
% (defun D () (interactive) (find-pdf-page "~/LATEX/2023-2-C3-dicas-pra-P2.pdf"))
% (defun d () (interactive) (find-pdftools-page "~/LATEX/2023-2-C3-dicas-pra-P2.pdf"))
% (defun e () (interactive) (find-LATEX "2023-2-C3-dicas-pra-P2.tex"))
% (defun o () (interactive) (find-LATEX "2022-2-C3-dicas-pra-P2.tex"))
% (defun u () (interactive) (find-latex-upload-links "2023-2-C3-dicas-pra-P2"))
% (defun v () (interactive) (find-2a '(e) '(d)))
% (defun d0 () (interactive) (find-ebuffer "2023-2-C3-dicas-pra-P2.pdf"))
% (defun cv () (interactive) (C) (ee-kill-this-buffer) (v) (g))
% (code-eec-LATEX "2023-2-C3-dicas-pra-P2")
% (find-pdf-page "~/LATEX/2023-2-C3-dicas-pra-P2.pdf")
% (find-sh0 "cp -v ~/LATEX/2023-2-C3-dicas-pra-P2.pdf /tmp/")
% (find-sh0 "cp -v ~/LATEX/2023-2-C3-dicas-pra-P2.pdf /tmp/pen/")
% (find-xournalpp "/tmp/2023-2-C3-dicas-pra-P2.pdf")
% file:///home/edrx/LATEX/2023-2-C3-dicas-pra-P2.pdf
% file:///tmp/2023-2-C3-dicas-pra-P2.pdf
% file:///tmp/pen/2023-2-C3-dicas-pra-P2.pdf
% http://anggtwu.net/LATEX/2023-2-C3-dicas-pra-P2.pdf
% (find-LATEX "2019.mk")
% (find-Deps1-links "Caepro5 Piecewise1")
% (find-Deps1-cps "Caepro5 Piecewise1")
% (find-Deps1-anggs "Caepro5 Piecewise1")
% (find-MM-aula-links "2023-2-C3-dicas-pra-P2" "C3" "c3m232dicasp2" "c3d2")
% «.defs» (to "defs")
% «.defs-T-and-B» (to "defs-T-and-B")
% «.defs-caepro» (to "defs-caepro")
% «.defs-pict2e» (to "defs-pict2e")
% «.title» (to "title")
% «.links» (to "links")
%
% «.djvuize» (to "djvuize")
% <videos>
% Video (not yet):
% (find-ssr-links "c3m232dicasp2" "2023-2-C3-dicas-pra-P2")
% (code-eevvideo "c3m232dicasp2" "2023-2-C3-dicas-pra-P2")
% (code-eevlinksvideo "c3m232dicasp2" "2023-2-C3-dicas-pra-P2")
% (find-c3m232dicasp2video "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")
%
% (find-es "tex" "geometry")
\usepackage[a6paper, landscape,
top=1.5cm, bottom=.25cm, left=1cm, right=1cm, includefoot
]{geometry}
%
\begin{document}
% «defs» (to ".defs")
% (find-LATEX "edrx21defs.tex" "colors")
% (find-LATEX "edrx21.sty")
\def\drafturl{http://anggtwu.net/LATEX/2023-2-C3.pdf}
\def\drafturl{http://anggtwu.net/2023.2-C3.html}
\def\draftfooter{\tiny \href{\drafturl}{\jobname{}} \ColorBrown{\shorttoday{} \hours}}
% (find-LATEX "2023-1-C2-carro.tex" "defs-caepro")
% (find-LATEX "2023-1-C2-carro.tex" "defs-pict2e")
\catcode`\^^J=10
\directlua{dofile "dednat6load.lua"} % (find-LATEX "dednat6load.lua")
% «defs-T-and-B» (to ".defs-T-and-B")
\long\def\ColorOrange#1{{\color{orange!90!black}#1}}
\def\T(Total: #1 pts){{\bf(Total: #1)}}
\def\T(Total: #1 pts){{\bf(Total: #1 pts)}}
\def\T(Total: #1 pts){\ColorRed{\bf(Total: #1 pts)}}
\def\B (#1 pts){\ColorOrange{\bf(#1 pts)}}
% «defs-caepro» (to ".defs-caepro")
%L dofile "Caepro5.lua" -- (find-angg "LUA/Caepro5.lua" "LaTeX")
\def\Caurl #1{\expr{Caurl("#1")}}
\def\Cahref#1#2{\href{\Caurl{#1}}{#2}}
\def\Ca #1{\Cahref{#1}{#1}}
% «defs-pict2e» (to ".defs-pict2e")
%L V = nil -- (find-angg "LUA/Pict2e1.lua" "MiniV")
%L dofile "Piecewise1.lua" -- (find-LATEX "Piecewise1.lua")
%L Pict2e.__index.suffix = "%"
\def\pictgridstyle{\color{GrayPale}\linethickness{0.3pt}}
\def\pictaxesstyle{\linethickness{0.5pt}}
\def\pictnaxesstyle{\color{GrayPale}\linethickness{0.5pt}}
\celllower=2.5pt
\pu
% _____ _ _ _
% |_ _(_) |_| | ___ _ __ __ _ __ _ ___
% | | | | __| |/ _ \ | '_ \ / _` |/ _` |/ _ \
% | | | | |_| | __/ | |_) | (_| | (_| | __/
% |_| |_|\__|_|\___| | .__/ \__,_|\__, |\___|
% |_| |___/
%
% «title» (to ".title")
% (c3m232dicasp2p 1 "title")
% (c3m232dicasp2a "title")
\thispagestyle{empty}
\begin{center}
\vspace*{1.2cm}
{\bf \Large Cálculo 3 - 2023.2}
\bsk
Dicas pra P2
\bsk
Eduardo Ochs - RCN/PURO/UFF
\url{http://anggtwu.net/2023.2-C3.html}
\end{center}
\newpage
% «links» (to ".links")
{\bf Links}
\scalebox{0.85}{\def\colwidth{14cm}\firstcol{
\par \Ca{StewPtCap14p10} (p.796) Curvas de nível
\ssk
\par \Ca{2gT11} se você for como o Bob você vai levar segundos. Seja como o Bob!
\par \Ca{2gT12} O Daniel (...) leva um ano nisso. Seja como o Bob!
\par \Ca{2gT19} O Bob (...) usou esses casos simples... Seja como o Bob!
\ssk
\par \Ca{3fT111} (2022.2) Dicas pra P2
\par \Ca{3fT123} (2022.2) VR
\par \Ca{3fT125} (2022.2) VR: gabarito
\par \Ca{SobreaVR} Sobre a VR de 2022.2
}\anothercol{
}}
\newpage
%M (%i1) diff(z);
%M (%o1) dz
%M (%i2) diff(z, t);
%M (%o2) 0
%M (%i3) diff(z, t, 2);
%M (%o3) 0
%M (%i4)
%M gradef(z, x, z_x)$
%M
%M (%i5) gradef(z, y, z_y)$
%M
%M (%i6) gradef(x, t, x_t)$
%M
%M (%i7) gradef(y, t, y_t)$
%M
%M (%i8) gradef(z_x, x, z_xx)$
%M
%M (%i9) gradef(z_x, y, z_xy)$
%M
%M (%i10) gradef(z_y, x, z_xy)$
%M
%M (%i11) gradef(z_y, y, z_yy)$
%M
%M (%i12) gradef(x_t, t, x_tt)$
%M
%M (%i13) gradef(y_t, t, y_tt)$
%M
%M (%i14) diff(z);
%M (%o14) z_y\,dy+z_x\,dx
%M (%i15) diff(z, t);
%M (%o15) y_t\,z_y+x_t\,z_x
%M (%i16) diff(z, t, 2);
%M (%o16) y_t\,\left(y_t\,z_{yy}+x_t\,z_{xy}\right)+y_{tt}\,z_y+x_t\,\left(y_t\,z_{xy}+x_t\,z_{xx}\right)+x_{tt}\,z_x
%M (%i17) expand(diff(z, t, 2));
%M (%o17) y_t^2\,z_{yy}+y_{tt}\,z_y+2\,x_t\,y_t\,z_{xy}+x_t^2\,z_{xx}+x_{tt}\,z_x
%M (%i18)
%M gradef(x_t, t, 0);
%M (%o18) x_t
%M (%i19) gradef(y_t, t, 0);
%M (%o19) y_t
%M (%i20) diff(z, t, 2);
%M (%o20) y_t\,\left(y_t\,z_{yy}+x_t\,z_{xy}\right)+x_t\,\left(y_t\,z_{xy}+x_t\,z_{xx}\right)
%M (%i21) expand(diff(z, t, 2));
%M (%o21) y_t^2\,z_{yy}+2\,x_t\,y_t\,z_{xy}+x_t^2\,z_{xx}
%M (%i22)
%M M : matrix([z_xx,z_xy], [z_xy,z_yy]);
%M (%o22) \begin{pmatrix}z_{xx}&z_{xy}\cr z_{xy}&z_{yy}\cr \end{pmatrix}
%M (%i23) xy_t : columnvector([x_t,y_t]);
%M (%o23) \begin{pmatrix}x_t\cr y_t\cr \end{pmatrix}
%M (%i24) ab : columnvector([a,b]);
%M (%o24) \begin{pmatrix}a\cr b\cr \end{pmatrix}
%M (%i25) cd : columnvector([c,d]);
%M (%o25) \begin{pmatrix}c\cr d\cr \end{pmatrix}
%M (%i26) ab * cd;
%M (%o26) \begin{pmatrix}a\,c\cr b\,d\cr \end{pmatrix}
%M (%i27) ab . cd;
%M (%o27) b\,d+a\,c
%M (%i28) M . xy_t;
%M (%o28) \begin{pmatrix}y_t\,z_{xy}+x_t\,z_{xx}\cr y_t\,z_{yy}+x_t\,z_{xy}\cr \end{pmatrix}
%M (%i29) (M . xy_t) . xy_t;
%M (%o29) y_t\,\left(y_t\,z_{yy}+x_t\,z_{xy}\right)+x_t\,\left(y_t\,z_{xy}+x_t\,z_{xx}\right)
%M (%i30) diff(z, t, 2);
%M (%o30) y_t\,\left(y_t\,z_{yy}+x_t\,z_{xy}\right)+x_t\,\left(y_t\,z_{xy}+x_t\,z_{xx}\right)
%M (%i31)
%L maximahead:sa("gradefs 1", "")
\pu
\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 "~/2023.1-C3/")
# (find-fline "~/LATEX/2023-1-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 ~/2023.1-C3/
cp -fv $1.pdf ~/LATEX/2023-1-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=2023-2-C3-dicas-pra-P2 veryclean
make -f 2019.mk STEM=2023-2-C3-dicas-pra-P2 pdf
% Local Variables:
% coding: utf-8-unix
% ee-tla: "c3d2"
% ee-tla: "c3m232dicasp2"
% End: