122 lines
2.3 KiB
TeX
122 lines
2.3 KiB
TeX
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\documentclass{article}
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\usepackage[utf8]{inputenc}
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\usepackage{pgf,tikz}
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\usepackage{pgfplots}
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\usetikzlibrary{arrows,backgrounds}
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\pgfplotsset{width=10cm,compat=newest}
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\title{\#05 Draw graphs of the following functions}
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\author{Enrique Andrade González }
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\date{Computer tools in mathematican's work}
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\begin{document}
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\maketitle
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\section{$x^2-2x+3$}
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\begin{tikzpicture}
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\draw [->] (0,0) -- (0,12);
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\draw [<->] (-4,0) -- (6,0);
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\draw [help lines] (-4,0) grid (6,12);
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% x ^ 2-2x + 3
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\draw [blue, domain=-2:4] plot (\x, {pow(\x,2)-\x*2 +3})
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node[right] {$v_1(x^2-2x +3)$)};
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\node [below] at (0,0) {(0,0)};
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\node [above] at (0,12) {(0,12)};
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\node [left] at (-4,0) {(-4,0)};
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\node [right] at (6,0) {(6,0)};
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\end{tikzpicture}
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\section{$cos(2x)$}
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\begin{tikzpicture}
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\draw [<->] (0,-3) -- (0,3);
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\draw [<->] (-6,0) -- (6,0);
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\draw [help lines] (-6,-3) grid (6,3);
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% x ^ 2-2x + 3
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\draw [blue, domain=-6:6, samples=100] plot (\x, {cos(\x*2 r)})
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node[right] {$v_1(cos(x*2))$};
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\node [below] at (0,0) {(0,0)};
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\node [above] at (0,3) {(0,3)};
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\node [left] at (-6,0) {(-6,0)};
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\node [below] at (6,0) {(6,0)};
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\node [below] at (0,-3) {(0,-3)};
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\end{tikzpicture}
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\section{$sin(1/x)$}
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\begin{tikzpicture}
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\draw [<->] (0,-3) -- (0,3);
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\draw [<->] (-6,0) -- (6,0);
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\draw [help lines] (-6,-3) grid (6,3);
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%% Problema!!! Vale esta solución???
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\draw [blue, domain=0.01:6, rotate=180, samples=100] plot (\x, {sin(1/\x r)});
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% Problema al tener un 0 en el denominador.
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\draw [blue, domain=0.01:6, samples=100] plot (\x, {sin(1/\x r)})
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node[right] {$v_1(x^2-2x +3)$)};
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\node [below] at (0,0) {(0,0)};
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\node [above] at (0,3) {(0,3)};
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\node [left] at (-6,0) {(-6,0)};
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\node [right] at (6,0) {(6,0)};
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\node [below] at (0,-3) {(0,-3)};
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\end{tikzpicture}
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\section{$x^2+y^2$}
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\begin{tikzpicture}
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\begin{axis}[
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%hide axis,
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xlabel=$x$,ylabel=$y$,mesh/interior colormap name=hot,colormap/blackwhite,]
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\addplot3[domain=-3:3,surf,samples=41]
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{x^2+y^2};
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\end{axis}
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\end{tikzpicture}
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\section{$x^2-y^2+2*x*y^2+1$}
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\begin{tikzpicture}
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\begin{axis}[
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%hide axis,
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xlabel=$x$,ylabel=$y$,mesh/interior colormap name=hot,colormap/blackwhite,]
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\addplot3[domain=-3:3,surf,samples=41]
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{x^2-y^2+2*x*y^2+1};
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\end{axis}
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\end{tikzpicture}
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\end{document}
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