% (find-LATEX "2024-1-C3-prova-relampago-1.tex")
% (defun c () (interactive) (find-LATEXsh "lualatex -record 2024-1-C3-prova-relampago-1.tex" :end))
% (defun C () (interactive) (find-LATEXsh "lualatex 2024-1-C3-prova-relampago-1.tex" "Success!!!"))
% (defun D () (interactive) (find-pdf-page      "~/LATEX/2024-1-C3-prova-relampago-1.pdf"))
% (defun d () (interactive) (find-pdftools-page "~/LATEX/2024-1-C3-prova-relampago-1.pdf"))
% (defun e () (interactive) (find-LATEX "2024-1-C3-prova-relampago-1.tex"))
% (defun o () (interactive) (find-LATEX "2024-1-C3-prova-relampago-1.tex"))
% (defun u () (interactive) (find-latex-upload-links "2024-1-C3-prova-relampago-1"))
% (defun v () (interactive) (find-2a '(e) '(d)))
% (defun d0 () (interactive) (find-ebuffer "2024-1-C3-prova-relampago-1.pdf"))
% (defun cv () (interactive) (C) (ee-kill-this-buffer) (v) (g))
%          (code-eec-LATEX "2024-1-C3-prova-relampago-1")
% (find-pdf-page   "~/LATEX/2024-1-C3-prova-relampago-1.pdf")
% (find-sh0 "cp -v  ~/LATEX/2024-1-C3-prova-relampago-1.pdf /tmp/")
% (find-sh0 "cp -v  ~/LATEX/2024-1-C3-prova-relampago-1.pdf /tmp/pen/")
%     (find-xournalpp "/tmp/2024-1-C3-prova-relampago-1.pdf")
%   file:///home/edrx/LATEX/2024-1-C3-prova-relampago-1.pdf
%               file:///tmp/2024-1-C3-prova-relampago-1.pdf
%           file:///tmp/pen/2024-1-C3-prova-relampago-1.pdf
%  http://anggtwu.net/LATEX/2024-1-C3-prova-relampago-1.pdf
% (find-LATEX "2019.mk")
% (find-Deps1-links "Caepro5 Piecewise2 Maxima2")
% (find-Deps1-cps   "Caepro5 Piecewise2 Maxima2")
% (find-Deps1-anggs "Caepro5 Piecewise2 Maxima2")
% (find-MM-aula-links "2024-1-C3-prova-relampago-1" "3" "c3m241pr1" "c3pr1")

% «.defs»		(to "defs")
% «.defs-T-and-B»	(to "defs-T-and-B")
% «.defs-caepro»	(to "defs-caepro")
% «.defs-pict2e»	(to "defs-pict2e")
% «.defs-maxima»	(to "defs-maxima")
% «.defs-V»		(to "defs-V")
% «.title»		(to "title")
% «.links»		(to "links")
% «.questoes»		(to "questoes")



\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")
%
% (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/2024-1-C3.pdf}
\def\drafturl{http://anggtwu.net/2024.1-C3.html}
\def\draftfooter{\tiny \href{\drafturl}{\jobname{}} \ColorBrown{\shorttoday{} \hours}}

% (find-LATEX "2024-1-C2-carro.tex" "defs-caepro")
% (find-LATEX "2024-1-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\ColorDarkOrange#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){\ColorDarkOrange{\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 dofile "Piecewise2.lua"           -- (find-LATEX "Piecewise2.lua")
%L --dofile "Escadas1.lua"           -- (find-LATEX "Escadas1.lua")
\def\pictgridstyle{\color{GrayPale}\linethickness{0.3pt}}
\def\pictaxesstyle{\linethickness{0.5pt}}
\def\pictnaxesstyle{\color{GrayPale}\linethickness{0.5pt}}
\celllower=2.5pt

% «defs-maxima»  (to ".defs-maxima")
%L dofile "Maxima2.lua"              -- (find-angg "LUA/Maxima2.lua")
\pu

% «defs-V»  (to ".defs-V")
%L --- See: (find-angg "LUA/MiniV1.lua" "problem-with-V")
%L V = MiniV
%L v = V.fromab
\pu


%  _____ _ _   _                               
% |_   _(_) |_| | ___   _ __   __ _  __ _  ___ 
%   | | | | __| |/ _ \ | '_ \ / _` |/ _` |/ _ \
%   | | | | |_| |  __/ | |_) | (_| | (_| |  __/
%   |_| |_|\__|_|\___| | .__/ \__,_|\__, |\___|
%                      |_|          |___/      
%
% «title»  (to ".title")
% (c3m241pr1p 1 "title")
% (c3m241pr1a   "title")

\thispagestyle{empty}

\begin{center}

\vspace*{1.2cm}

{\bf \Large Cálculo 3 - 2024.1}

\bsk

Material pra Prova Relâmpago 1

\bsk

Eduardo Ochs - RCN/PURO/UFF

\url{http://anggtwu.net/2024.1-C3.html}

\end{center}

\newpage

% «links»  (to ".links")
% (c3m241pr1p 2 "links")
% (c3m241pr1a   "links")

{\bf Links}

\scalebox{0.6}{\def\colwidth{9cm}\firstcol{

% (find-es "maxima" "2024.1-C3-PR1")
{\footnotesize
\par \url{http://anggtwu.net/e/maxima.e.html\#2024.1-C3-PR1}
\par \texttt{(find-es "maxima" "2024.1-C3-PR1")}
\par
}

}\anothercol{
}}

\newpage

% «questoes»  (to ".questoes")
% (c3m241pr1p 3 "questoes")
% (c3m241pr1a   "questoes")
% (find-es "maxima" "2024.1-C3-PR1")

\scalebox{0.67}{\def\colwidth{8cm}\firstcol{

Sejam:
%
$$\begin{array}{rcl}
  f(x)   &=& (x-1)(x-3) \\
  F(x,y) &=& (x-y)(x-3y) \\
         &=& x^2 - 4xy + 3y^2 \\
       z &=& F(x,y) \\
         &=& x^2 - 4xy + 3y^2 \\
  P(t)   &=& (\cos t, \sin t) \\
  g(t)   &=& F(P(t)) \\
  \end{array}
$$

\bsk

Faça o Maxima gerar uma tabela como esta:
%
$$\def\frac#1#2{#1/#2}
  \begin{pmatrix} t & F(P(t)) \cr 0&1.0\cr
  {\frac{\pi}{8}}&-0.12132034355964272\cr {\frac{\pi}{4}}&0.0\cr
  {\frac{3\,\pi}{8}}&1.2928932188134519\cr {\frac{\pi}{2}}&3.0\cr
  {\frac{5\,\pi}{8}}&4.121320343559642\cr {\frac{3\,\pi}{4}}&4.0\cr
  {\frac{7\,\pi}{8}}&2.707106781186548\cr \pi&1.0\cr
  \end{pmatrix}
$$

}\def\colwidth{9cm}\anothercol{

\vspace*{0.5cm}

E um diagrama de curvas de nível como este aqui:
%
$\hspace*{-0.8cm}
 \includegraphics[height=9cm]{2024-1-C3/2024-1-C3-PR1-levels.pdf}
$


}}



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

\end{document}



% Local Variables:
% coding: utf-8-unix
% ee-tla: "c3pr1"
% ee-tla: "c3m241pr1"
% End:
