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\documentclass{article}\usepackage{tikz}\usepackage{tikz-3dplot}\usetikzlibrary{math}\usepackage{ifthen}\usepackage[active,tightpage]{preview}\PreviewEnvironment{tikzpicture}\setlength\PreviewBorder{1pt}%% File name: vector-function.tex% Description:% A geometric representation of a vector function is shown.%% Date of creation: October, 15th, 2021.% Date of last modification: October, 9th, 2022.% Author: Efraín Soto Apolinar.% https://www.aprendematematicas.org.mx/author/efrain-soto-apolinar/instructing-courses/% Source: page 211 of the% Glosario Ilustrado de Matem\'aticas Escolares.% https://tinyurl.com/5udm2ufy%% Terms of use:% According to TikZ.net% https://creativecommons.org/licenses/by-nc-sa/4.0/% Your commitment to the terms of use is greatly appreciated.%\begin{document}%\begin{center}\tdplotsetmaincoords{70}{120}%\begin{tikzpicture}[tdplot_main_coords,scale=1.0]% Component functions of the vector function\tikzmath{function equis(\t) {return cos((\t) r);};}\tikzmath{function ye(\t) {return sin((\t) r);};}\tikzmath{function zeta(\t) {return 0.5+0.25*sqrt(\t)*sin(0.4*\t r);};}% Evaluated at $t = \tcero$\pgfmathsetmacro{\tcero}{1.0*pi}\pgfmathsetmacro{\ti}{0.25}\pgfmathsetmacro{\tf}{2.0*pi}\pgfmathsetmacro{\n}{100}
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