% (find-LATEX "2022-1-C3-MT2.tex")
% (defun c () (interactive) (find-LATEXsh "lualatex -record 2022-1-C3-MT2.tex" :end))
% (defun C () (interactive) (find-LATEXsh "lualatex 2022-1-C3-MT2.tex" "Success!!!"))
% (defun D () (interactive) (find-pdf-page      "~/LATEX/2022-1-C3-MT2.pdf"))
% (defun d () (interactive) (find-pdftools-page "~/LATEX/2022-1-C3-MT2.pdf"))
% (defun e () (interactive) (find-LATEX "2022-1-C3-MT2.tex"))
% (defun o () (interactive) (find-LATEX "2022-1-C3-MT1.tex"))
% (defun o () (interactive) (find-LATEX "2022-1-C3-funcoes-homogeneas.tex"))
% (defun u () (interactive) (find-latex-upload-links "2022-1-C3-MT2"))
% (defun v () (interactive) (find-2a '(e) '(d)))
% (defun d0 () (interactive) (find-ebuffer "2022-1-C3-MT2.pdf"))
% (defun cv () (interactive) (C) (ee-kill-this-buffer) (v) (g))
%          (code-eec-LATEX "2022-1-C3-MT2")
% (find-pdf-page   "~/LATEX/2022-1-C3-MT2.pdf")
% (find-sh0 "cp -v  ~/LATEX/2022-1-C3-MT2.pdf /tmp/")
% (find-sh0 "cp -v  ~/LATEX/2022-1-C3-MT2.pdf /tmp/pen/")
%     (find-xournalpp "/tmp/2022-1-C3-MT2.pdf")
%   file:///home/edrx/LATEX/2022-1-C3-MT2.pdf
%               file:///tmp/2022-1-C3-MT2.pdf
%           file:///tmp/pen/2022-1-C3-MT2.pdf
% http://angg.twu.net/LATEX/2022-1-C3-MT2.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-MT2" "3" "c3m221mt2" "c3mt2")

% «.defs»	(to "defs")
% «.title»	(to "title")
% «.questao»	(to "questao")
% «.gabarito»	(to "gabarito")
%
% «.djvuize»	(to "djvuize")



% <videos>
% Video (not yet):
% (find-ssr-links     "c3m221mt2" "2022-1-C3-MT2")
% (code-eevvideo      "c3m221mt2" "2022-1-C3-MT2")
% (code-eevlinksvideo "c3m221mt2" "2022-1-C3-MT2")
% (find-c3m221mt2video "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}
%
\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}

\catcode`\^^J=10
\directlua{dofile "dednat6load.lua"}  % (find-LATEX "dednat6load.lua")
%L dofile "Piecewise1.lua"           -- (find-LATEX "Piecewise1.lua")
%L dofile "QVis1.lua"                -- (find-LATEX "QVis1.lua")
%L dofile "Pict3D1.lua"              -- (find-LATEX "Pict3D1.lua")
%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=2.5pt

% «defs»  (to ".defs")
% (find-LATEX "edrx21defs.tex" "colors")
% (find-LATEX "edrx21.sty")

\def\u#1{\par{\footnotesize \url{#1}}}

\def\Rq{\ColorRed{?}}

\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}}



%  _____ _ _   _                               
% |_   _(_) |_| | ___   _ __   __ _  __ _  ___ 
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%   |_| |_|\__|_|\___| | .__/ \__,_|\__, |\___|
%                      |_|          |___/      
%
% «title»  (to ".title")
% (c3m221mt2p 1 "title")
% (c3m221mt2a   "title")

\thispagestyle{empty}

\begin{center}

\vspace*{1.2cm}

{\bf \Large Cálculo 3 - 2022.1}

\bsk

Mini-teste 2

\bsk

Eduardo Ochs - RCN/PURO/UFF

\url{http://angg.twu.net/2022.1-C3.html}

\end{center}

\newpage

% «questao»  (to ".questao")
% (c3m221mt2p 2 "questao")
% (c3m221mt2a   "questao")
% (c3m221fhp 3 "exercicio-2")
% (c3m221fha   "exercicio-2")

% (find-angg "LUA/Pict2e1-1.lua" "Numerozinhos-test4")
%
%L Numerozinhos.xyn = function (x, y, n)
%L     if n == "." then return nil end
%L     if n == "?" then n = "\\ColorRed{?}" end
%L     return pformat("\\put(%s,%s){\\cell{\\text{%s}}}", x, y, n)
%L   end
%L Pict2e.bounds = PictBounds.new(v(0,0), v(8,7))
%L p = Numerozinhos.xynss(1, 0, 
%L     [[ ? . . ? . . ?
%L        . ? . ? . ? .
%L        . . ? 2 3 . .
%L        ? ? ? ? 4 ? ?
%L        . . ? ? ? . .
%L        . ? . ? . 5 .
%L        ? . . ? . . ? ]])
%L p:pgat("pN"):preunitlength("11pt"):sa("Fig 1"):output()
%L pg = Numerozinhos.xynss(1, 0, 
%L     [[ \Q  .  . 18  .  . 27
%L         .  5  .  8  . 12  .
%L         .  . \q  2  3  .  .
%L        36 16  4  0  4 16 36
%L         .  .  3  2 \q  .  .
%L         . 12  .  8  .  5  .
%L        27  .  . 18  .  . \Q ]])
%L pg:pgat("pN"):preunitlength("17pt"):sa("Gabarito"):output()
\pu


\scalebox{0.5}{\def\colwidth{11cm}\firstcol{

{\bf Mini-teste 2}

\ssk

Digamos que $F(x,y)$ é uma função de duas variáveis,

que não precisa ser um polinômio em duas variáveis ---

ela pode ser algo bem mais esquisito.

Digamos que $F(x,y)$ obedece isto aqui,
%
$$F(x_0+λΔx,y_0+λΔy) \;=\; λ^2 F(x_0+Δx,y_0+Δy)
$$

onde $x_0 = 4$ e $y_0 = 3$.

A figura abaixo diz o que sabemos sobre a $F(x,y)$

e o que queremos saber sobre ela.

$$\ga{Fig 1}$$

Descubra o valor de $F(x,y)$ em cada um dos `$\Rq$'s

e escreva os seus resultados sobre alguma das

figuras da direita.

}\anothercol{

\def\Fig{\scalebox{1.75}{$\ga{Fig 1}$}}
\def\Figs{\Fig \qquad \Fig}

\vspace*{-1.5cm}

$$\begin{array}{c}
  \Figs \\\\
  \Figs \\\\
  \Figs \\
  \end{array}
$$

}}


\newpage

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% | |_| | (_| | |_) | (_| | |  | | || (_) |
%  \____|\__,_|_.__/ \__,_|_|  |_|\__\___/ 
%                                          
% «gabarito»  (to ".gabarito")
% (c3m221mt2p 3 "gabarito")
% (c3m221mt2a   "gabarito")
% (find-pdf-page "~/2022.1-C3/C3-quadros.pdf" 26)

{\bf Gabarito}

\def\q{\ensuremath{\frac{1}{4}5}}
\def\Q{\ensuremath{\frac{9}{4}5}}

$$\scalebox{1.2}{$\ga{Gabarito}$}$$



%\printbibliography

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

\end{document}

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% | |_| | |\ V /| |_| | |/ /  __/
% |____// | \_/  \__,_|_/___\___|
%     |__/                       
%
% «djvuize»  (to ".djvuize")
% (find-LATEXgrep "grep --color -nH --null -e djvuize 2020-1*.tex")

%  __  __       _        
% |  \/  | __ _| | _____ 
% | |\/| |/ _` | |/ / _ \
% | |  | | (_| |   <  __/
% |_|  |_|\__,_|_|\_\___|
%                        
% <make>

 (eepitch-shell)
 (eepitch-kill)
 (eepitch-shell)
# (find-LATEXfile "2019planar-has-1.mk")
make -f 2019.mk STEM=2022-1-C3-MT2 veryclean
make -f 2019.mk STEM=2022-1-C3-MT2 pdf

% Local Variables:
% coding: utf-8-unix
% ee-tla: "c3mt2"
% ee-tla: "c3m221mt2"
% End:
