% (find-LATEX "2023-1-C4-dicas-pra-P2.tex")
% (defun c () (interactive) (find-LATEXsh "lualatex -record 2023-1-C4-dicas-pra-P2.tex" :end))
% (defun C () (interactive) (find-LATEXsh "lualatex 2023-1-C4-dicas-pra-P2.tex" "Success!!!"))
% (defun D () (interactive) (find-pdf-page      "~/LATEX/2023-1-C4-dicas-pra-P2.pdf"))
% (defun d () (interactive) (find-pdftools-page "~/LATEX/2023-1-C4-dicas-pra-P2.pdf"))
% (defun e () (interactive) (find-LATEX "2023-1-C4-dicas-pra-P2.tex"))
% (defun o () (interactive) (find-LATEX "2023-1-C4-dicas-pra-P1.tex"))
% (defun u () (interactive) (find-latex-upload-links "2023-1-C4-dicas-pra-P2"))
% (defun v () (interactive) (find-2a '(e) '(d)))
% (defun d0 () (interactive) (find-ebuffer "2023-1-C4-dicas-pra-P2.pdf"))
% (defun cv () (interactive) (C) (ee-kill-this-buffer) (v) (g))
%          (code-eec-LATEX "2023-1-C4-dicas-pra-P2")
% (find-pdf-page   "~/LATEX/2023-1-C4-dicas-pra-P2.pdf")
% (find-sh0 "cp -v  ~/LATEX/2023-1-C4-dicas-pra-P2.pdf /tmp/")
% (find-sh0 "cp -v  ~/LATEX/2023-1-C4-dicas-pra-P2.pdf /tmp/pen/")
%     (find-xournalpp "/tmp/2023-1-C4-dicas-pra-P2.pdf")
%   file:///home/edrx/LATEX/2023-1-C4-dicas-pra-P2.pdf
%               file:///tmp/2023-1-C4-dicas-pra-P2.pdf
%           file:///tmp/pen/2023-1-C4-dicas-pra-P2.pdf
%  http://anggtwu.net/LATEX/2023-1-C4-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 "2023-1-C4-dicas-pra-P2" "C4" "c4m231dicasp2" "c4d2")

% «.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     "c4m231dicasp2" "2023-1-C4-dicas-pra-P2")
% (code-eevvideo      "c4m231dicasp2" "2023-1-C4-dicas-pra-P2")
% (code-eevlinksvideo "c4m231dicasp2" "2023-1-C4-dicas-pra-P2")
% (find-c4m231dicasp2video "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/2023-1-C4.pdf}
\def\drafturl{http://anggtwu.net/2023.1-C4.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")

\defφ{\origphi}

% «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



%  _____ _ _   _                               
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%
% «title»  (to ".title")
% (c4m231dicasp2p 1 "title")
% (c4m231dicasp2a   "title")

\thispagestyle{empty}

\begin{center}

\vspace*{1.2cm}

{\bf \Large Cálculo 4 - 2023.1}

\bsk

Aula 27: dicas pra P2

\bsk

Eduardo Ochs - RCN/PURO/UFF

\url{http://anggtwu.net/2023.1-C4.html}

\end{center}

\newpage

% «links»  (to ".links")
% (c4m231dicasp2p 2 "links")
% (c4m231dicasp2a   "links")

\scalebox{0.8}{\def\colwidth{14cm}\firstcol{

\par \Ca{StewPtCap15p8} Definição 5: $dA = dx\,dy$
\par \Ca{StewPtCap15p61} Fórmula 3: $dV = dx\,dy\,dz = ρ^2 \senφ\,dρ\,dφ\,dθ$
\par \Ca{StewPtCap16p41} 16.6 Superfícies parametrizadas e suas áreas
\par \Ca{StewPtCap16p43} Exemplo 4: $𝐛r(φ,θ)=\ldots$
\par \Ca{StewPtCap16p47} Definição 6: $𝐛r(u,v)=\ldots$
%\par \Ca{StewPtCap16p47} (Exemplo 10)
\par \Ca{StewPtCap16p51} 16.7 Integrais de superfície
\par \Ca{StewPtCap16p51} Superfícies parametrizadas: $𝐛r(u,v)=\ldots$
\par \Ca{StewPtCap16p55} Figura 7: as duas orientações de uma superfície orientável
\par \Ca{StewPtCap16p55} $𝐛r(φ,θ)=\ldots$
\par \Ca{StewPtCap16p56} Definição 8: $\int\!\!\!\int_S 𝐛F·d𝐛S = \int\!\!\!\int_S 𝐛F·𝐛n\,dS$
\par \Ca{StewPtCap16p57} \standout{Exemplo 4}
\par \Ca{StewPtCap16p66} 16.9 O teorema do divergente
\par \Ca{StewPtCap16p67} \standout{Exemplo 1}
\par \Ca{StewPtCap16p69} \standout{Exercício 3}
\par \Ca{StewPtCap16p70} \standout{Exercício 8}

}\anothercol{
}}





\GenericWarning{Success:}{Success!!!}  % Used by `M-x cv'

\end{document}


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% ee-tla: "c4m231dicasp2"
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