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% (find-LATEX "2024-1-C2-revisao.tex")
% (defun c () (interactive) (find-LATEXsh "lualatex -record 2024-1-C2-revisao.tex" :end))
% (defun C () (interactive) (find-LATEXsh "lualatex 2024-1-C2-revisao.tex" "Success!!!"))
% (defun D () (interactive) (find-pdf-page "~/LATEX/2024-1-C2-revisao.pdf"))
% (defun d () (interactive) (find-pdftools-page "~/LATEX/2024-1-C2-revisao.pdf"))
% (defun e () (interactive) (find-LATEX "2024-1-C2-revisao.tex"))
% (defun o () (interactive) (find-LATEX "2024-1-C2-revisao.tex"))
% (defun u () (interactive) (find-latex-upload-links "2024-1-C2-revisao"))
% (defun v () (interactive) (find-2a '(e) '(d)))
% (defun d0 () (interactive) (find-ebuffer "2024-1-C2-revisao.pdf"))
% (defun cv () (interactive) (C) (ee-kill-this-buffer) (v) (g))
% (code-eec-LATEX "2024-1-C2-revisao")
% (find-pdf-page "~/LATEX/2024-1-C2-revisao.pdf")
% (find-sh0 "cp -v ~/LATEX/2024-1-C2-revisao.pdf /tmp/")
% (find-sh0 "cp -v ~/LATEX/2024-1-C2-revisao.pdf /tmp/pen/")
% (find-xournalpp "/tmp/2024-1-C2-revisao.pdf")
% file:///home/edrx/LATEX/2024-1-C2-revisao.pdf
% file:///tmp/2024-1-C2-revisao.pdf
% file:///tmp/pen/2024-1-C2-revisao.pdf
% http://anggtwu.net/LATEX/2024-1-C2-revisao.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-C2-revisao" "2" "c2m241revisao" "c2rv")
% «.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")
\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-C2.pdf}
\def\drafturl{http://anggtwu.net/2024.1-C2.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")
% (c2m241revisaop 1 "title")
% (c2m241revisaoa "title")
\thispagestyle{empty}
\begin{center}
\vspace*{1.2cm}
{\bf \Large Cálculo 2 - 2024.1}
\bsk
Aula nn: ponha o título aqui
\bsk
Eduardo Ochs - RCN/PURO/UFF
\url{http://anggtwu.net/2024.1-C2.html}
\end{center}
\newpage
% «links» (to ".links")
% (c2m241revisaop 2 "links")
% (c2m241revisaoa "links")
{\bf Links}
\scalebox{0.6}{\def\colwidth{9cm}\firstcol{
}\anothercol{
}}
\newpage
{\bf Coeficientes a determinar}
%M (%i1) L(f) := diff(f,x,2) - 3* diff(f,x) - 4*f;
%M (%o1) L\left(f\right):=\mathrm{diff}\left(f , x , 2\right)-3\,\mathrm{diff}\left(f , x\right)+\left(-4\right)\,f
%M (%i2) Ly : 'diff(y,x,2) - 3*'diff(y,x) - 4*y;
%M (%o2) {\frac{d^2}{d\,x^2}}\,y-3\,\left({\frac{d}{d\,x}}\,y\right)-4\,y
%M (%i3) ex0 : Ly = 0;
%M (%o3) {\frac{d^2}{d\,x^2}}\,y-3\,\left({\frac{d}{d\,x}}\,y\right)-4\,y=0
%M (%i4) ex1 : Ly = 3*exp(2*x);
%M (%o4) {\frac{d^2}{d\,x^2}}\,y-3\,\left({\frac{d}{d\,x}}\,y\right)-4\,y=3\,e^{2\,x}
%M (%i5) ex2 : Ly = 2*sin(x);
%M (%o5) {\frac{d^2}{d\,x^2}}\,y-3\,\left({\frac{d}{d\,x}}\,y\right)-4\,y=2\,\sin x
%M (%i6) ex25 : Ly = 4*x^2-1;
%M (%o6) {\frac{d^2}{d\,x^2}}\,y-3\,\left({\frac{d}{d\,x}}\,y\right)-4\,y=4\,x^2-1
%M (%i7) sol0 : ode2(ex0, y,x);
%M (%o7) y=\mathrm{\%k1}\,e^{4\,x}+\mathrm{\%k2}\,e^ {- x }
%M (%i8) sol1 : ode2(ex1, y,x);
%M (%o8) y=\mathrm{\%k1}\,e^{4\,x}-{\frac{e^{2\,x}}{2}}+\mathrm{\%k2}\,e^ {- x }
%M (%i9) sol2 : ode2(ex2, y,x);
%M (%o9) y=-\left({\frac{5\,\sin x-3\,\cos x}{17}}\right)+\mathrm{\%k1}\,e^{4\,x}+\mathrm{\%k2}\,e^ {- x }
%L maximahead:sa("coefs-a-det", "")
\pu
%M (%i10) sol25 : ode2(ex25,y,x);
%M (%o10) y=\mathrm{\%k1}\,e^{4\,x}+\mathrm{\%k2}\,e^ {- x }-{\frac{8\,x^2-12\,x+11}{8}}
%M (%i11) define(g0(x), rhs(sol0));
%M (%o11) \mathrm{g0}\left(x\right):=\mathrm{\%k1}\,e^{4\,x}+\mathrm{\%k2}\,e^ {- x }
%M (%i12) define(g1(x), rhs(sol1));
%M (%o12) \mathrm{g1}\left(x\right):=\mathrm{\%k1}\,e^{4\,x}-{\frac{e^{2\,x}}{2}}+\mathrm{\%k2}\,e^ {- x }
%M (%i13) define(g2(x), rhs(sol2));
%M (%o13) \mathrm{g2}\left(x\right):=-\left({\frac{5\,\sin x-3\,\cos x}{17}}\right)+\mathrm{\%k1}\,e^{4\,x}+\mathrm{\%k2}\,e^ {- x }
%M (%i14) define(g25(x), rhs(sol25));
%M (%o14) \mathrm{g25}\left(x\right):=\mathrm{\%k1}\,e^{4\,x}+\mathrm{\%k2}\,e^ {- x }-{\frac{8\,x^2-12\,x+11}{8}}
%M (%i15) L(g0(x));
%M (%o15) -\left(3\,\left(4\,\mathrm{\%k1}\,e^{4\,x}-\mathrm{\%k2}\,e^ {- x }\right)\right)-4\,\left(\mathrm{\%k1}\,e^{4\,x}+\mathrm{\%k2}\,e^ {- x }\right)+16\,\mathrm{\%k1}\,e^{4\,x}+\mathrm{\%k2}\,e^ {- x }
%M (%i16) expand(L(g0(x)));
%M (%o16) 0
%M (%i17) expand(L(g1(x)));
%M (%o17) 3\,e^{2\,x}
%M (%i18) expand(L(g2(x)));
%M (%o18) 2\,\sin x
%M (%i19)
%L maximahead:sa("coefs-a-det 2", "")
\pu
\scalebox{0.4}{\def\colwidth{14cm}\firstcol{
\vspace*{0cm}
\def\hboxthreewidth {14cm}
\ga{coefs-a-det}
}\anothercol{
\vspace*{0cm}
\def\hboxthreewidth {14cm}
\ga{coefs-a-det 2}
}}
\GenericWarning{Success:}{Success!!!} % Used by `M-x cv'
\end{document}
% Local Variables:
% coding: utf-8-unix
% ee-tla: "c2rv"
% ee-tla: "c2m241revisao"
% End: