This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022/Debian) (preloaded format=pdflatex 2024.9.20) 30 OCT 2024 07:47 entering extended mode restricted \write18 enabled. %&-line parsing enabled. **main (./main.tex LaTeX2e <2022-11-01> patch level 1 L3 programming layer <2023-01-16> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2022/07/02 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo File: size10.clo 2022/07/02 v1.4n Standard LaTeX file (size option) ) \c@part=\count185 \c@section=\count186 \c@subsection=\count187 \c@subsubsection=\count188 \c@paragraph=\count189 \c@subparagraph=\count190 \c@figure=\count191 \c@table=\count192 \abovecaptionskip=\skip48 \belowcaptionskip=\skip49 \bibindent=\dimen140 ) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty Package: amsmath 2022/04/08 v2.17n AMS math features \@mathmargin=\skip50 For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty Package: amstext 2021/08/26 v2.01 AMS text (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty File: amsgen.sty 1999/11/30 v2.0 generic functions \@emptytoks=\toks16 \ex@=\dimen141 )) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty Package: amsbsy 1999/11/29 v1.2d Bold Symbols \pmbraise@=\dimen142 ) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty Package: amsopn 2022/04/08 v2.04 operator names ) \inf@bad=\count193 LaTeX Info: Redefining \frac on input line 234. \uproot@=\count194 \leftroot@=\count195 LaTeX Info: Redefining \overline on input line 399. LaTeX Info: Redefining \colon on input line 410. \classnum@=\count196 \DOTSCASE@=\count197 LaTeX Info: Redefining \ldots on input line 496. LaTeX Info: Redefining \dots on input line 499. LaTeX Info: Redefining \cdots on input line 620. \Mathstrutbox@=\box51 \strutbox@=\box52 LaTeX Info: Redefining \big on input line 722. LaTeX Info: Redefining \Big on input line 723. LaTeX Info: Redefining \bigg on input line 724. LaTeX Info: Redefining \Bigg on input line 725. \big@size=\dimen143 LaTeX Font Info: Redeclaring font encoding OML on input line 743. LaTeX Font Info: Redeclaring font encoding OMS on input line 744. \macc@depth=\count198 LaTeX Info: Redefining \bmod on input line 905. LaTeX Info: Redefining \pmod on input line 910. LaTeX Info: Redefining \smash on input line 940. LaTeX Info: Redefining \relbar on input line 970. LaTeX Info: Redefining \Relbar on input line 971. \c@MaxMatrixCols=\count199 \dotsspace@=\muskip16 \c@parentequation=\count266 \dspbrk@lvl=\count267 \tag@help=\toks17 \row@=\count268 \column@=\count269 \maxfields@=\count270 \andhelp@=\toks18 \eqnshift@=\dimen144 \alignsep@=\dimen145 \tagshift@=\dimen146 \tagwidth@=\dimen147 \totwidth@=\dimen148 \lineht@=\dimen149 \@envbody=\toks19 \multlinegap=\skip51 \multlinetaggap=\skip52 \mathdisplay@stack=\toks20 LaTeX Info: Redefining \[ on input line 2953. LaTeX Info: Redefining \] on input line 2954. ) (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty Package: graphicx 2021/09/16 v1.2d Enhanced LaTeX Graphics (DPC,SPQR) (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty Package: keyval 2022/05/29 v1.15 key=value parser (DPC) \KV@toks@=\toks21 ) (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty Package: graphics 2022/03/10 v1.4e Standard LaTeX Graphics (DPC,SPQR) (/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty Package: trig 2021/08/11 v1.11 sin cos tan (DPC) ) (/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration ) Package graphics Info: Driver file: pdftex.def on input line 107. (/usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def File: pdftex.def 2022/09/22 v1.2b Graphics/color driver for pdftex )) \Gin@req@height=\dimen150 \Gin@req@width=\dimen151 ) (/usr/share/texlive/texmf-dist/tex/latex/geometry/geometry.sty Package: geometry 2020/01/02 v5.9 Page Geometry (/usr/share/texlive/texmf-dist/tex/generic/iftex/ifvtex.sty Package: ifvtex 2019/10/25 v1.7 ifvtex legacy package. Use iftex instead. (/usr/share/texlive/texmf-dist/tex/generic/iftex/iftex.sty Package: iftex 2022/02/03 v1.0f TeX engine tests )) \Gm@cnth=\count271 \Gm@cntv=\count272 \c@Gm@tempcnt=\count273 \Gm@bindingoffset=\dimen152 \Gm@wd@mp=\dimen153 \Gm@odd@mp=\dimen154 \Gm@even@mp=\dimen155 \Gm@layoutwidth=\dimen156 \Gm@layoutheight=\dimen157 \Gm@layouthoffset=\dimen158 \Gm@layoutvoffset=\dimen159 \Gm@dimlist=\toks22 ) (/usr/share/texlive/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def File: l3backend-pdftex.def 2023-01-16 L3 backend support: PDF output (pdfTeX) \l__color_backend_stack_int=\count274 \l__pdf_internal_box=\box53 ) No file main.aux. \openout1 = `main.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 11. LaTeX Font Info: ... okay on input line 11. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 11. LaTeX Font Info: ... okay on input line 11. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 11. LaTeX Font Info: ... okay on input line 11. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 11. LaTeX Font Info: ... okay on input line 11. LaTeX Font Info: Checking defaults for TS1/cmr/m/n on input line 11. LaTeX Font Info: ... okay on input line 11. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 11. LaTeX Font Info: ... okay on input line 11. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 11. LaTeX Font Info: ... okay on input line 11. (/usr/share/texlive/texmf-dist/tex/context/base/mkii/supp-pdf.mkii [Loading MPS to PDF converter (version 2006.09.02).] \scratchcounter=\count275 \scratchdimen=\dimen160 \scratchbox=\box54 \nofMPsegments=\count276 \nofMParguments=\count277 \everyMPshowfont=\toks23 \MPscratchCnt=\count278 \MPscratchDim=\dimen161 \MPnumerator=\count279 \makeMPintoPDFobject=\count280 \everyMPtoPDFconversion=\toks24 ) (/usr/share/texlive/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty Package: epstopdf-base 2020-01-24 v2.11 Base part for package epstopdf Package epstopdf-base Info: Redefining graphics rule for `.eps' on input line 4 85. (/usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg File: epstopdf-sys.cfg 2010/07/13 v1.3 Configuration of (r)epstopdf for TeX Liv e )) *geometry* driver: auto-detecting *geometry* detected driver: pdftex *geometry* verbose mode - [ preamble ] result: * driver: pdftex * paper: a4paper * layout: * layoutoffset:(h,v)=(0.0pt,0.0pt) * modes: * h-part:(L,W,R)=(72.26999pt, 452.9679pt, 72.26999pt) * v-part:(T,H,B)=(72.26999pt, 700.50687pt, 72.26999pt) * \paperwidth=597.50787pt * \paperheight=845.04684pt * \textwidth=452.9679pt * \textheight=700.50687pt * \oddsidemargin=0.0pt * \evensidemargin=0.0pt * \topmargin=-37.0pt * \headheight=12.0pt * \headsep=25.0pt * \topskip=10.0pt * \footskip=30.0pt * \marginparwidth=65.0pt * \marginparsep=11.0pt * \columnsep=10.0pt * \skip\footins=9.0pt plus 4.0pt minus 2.0pt * \hoffset=0.0pt * \voffset=0.0pt * \mag=1000 * \@twocolumnfalse * \@twosidefalse * \@mparswitchfalse * \@reversemarginfalse * (1in=72.27pt=25.4mm, 1cm=28.453pt) ! LaTeX Error: Command \k unavailable in encoding OT1. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.13 \maketitle ? ! LaTeX Error: Command \k unavailable in encoding OT1. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.17 ...zadania jest znalezienie punktów przecię cia dwóch funkcji: funkcj... ? ! LaTeX Error: Command \k unavailable in encoding OT1. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.17 ...funkcji kwadratowej. Obie funkcje opisują zależność położenia ... ? ! LaTeX Error: Command \k unavailable in encoding OT1. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.23 \section*{Rozwiązanie} ? ! LaTeX Error: Command \k unavailable in encoding OT1. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.25 Aby znaleźć punkty przecię cia, przyrównujemy obie funkcje do siebie: ? ! LaTeX Error: Command \k unavailable in encoding OT1. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.30 Przenoszą c wszystkie wyrazy na jedną stronę, otrzymujemy równanie k... ? ! LaTeX Error: Command \k unavailable in encoding OT1. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.30 Przenosząc wszystkie wyrazy na jedną stronę, otrzymujemy równanie k... ? ! LaTeX Error: Command \k unavailable in encoding OT1. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.30 ...nosząc wszystkie wyrazy na jedną stronę , otrzymujemy równanie kw... ? ! LaTeX Error: Command \k unavailable in encoding OT1. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.35 Równanie to można rozwią zać przy użyciu wzoru kwadratowego: ? ! LaTeX Error: Command \k unavailable in encoding OT1. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.42 Dla potrzeb zadania przyję liśmy następujące wartości parametrów: ? ! LaTeX Error: Command \k unavailable in encoding OT1. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.42 Dla potrzeb zadania przyjęliśmy nastę pujące wartości parametrów: ? ! LaTeX Error: Command \k unavailable in encoding OT1. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.42 Dla potrzeb zadania przyjęliśmy następują ce wartości parametrów: ? ! LaTeX Error: Command \k unavailable in encoding OT1. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.44 \item Prę dkość \( v = 5 \, \text{m/s} \) ? ! LaTeX Error: Command \k unavailable in encoding OT1. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.45 \item Począ tkowe położenie \( s_0 = 2 \, \text{m} \) ? ! LaTeX Error: Command \k unavailable in encoding OT1. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.49 \section*{Punkty przecięcia} ? ! LaTeX Error: Command \k unavailable in encoding OT1. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.51 Rozwią zując równanie kwadratowe, otrzymaliśmy następujące wartoś... ? ! LaTeX Error: Command \k unavailable in encoding OT1. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.51 Rozwiązują c równanie kwadratowe, otrzymaliśmy następujące wartoś... ? ! LaTeX Error: Command \k unavailable in encoding OT1. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.51 ...równanie kwadratowe, otrzymaliśmy nastę pujące wartości \( t \) ... ? ! LaTeX Error: Command \k unavailable in encoding OT1. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.51 ...anie kwadratowe, otrzymaliśmy następują ce wartości \( t \) oraz ... ? ! LaTeX Error: Command \k unavailable in encoding OT1. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.51 ...ujące wartości \( t \) oraz odpowiadają ce im wartości położeni... ? ! LaTeX Error: Command \k unavailable in encoding OT1. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.54 \item Punkt przecię cia 1: \( t_1 = \frac{-B + \sqrt{B^2 - 4 \cdot ... ? ! LaTeX Error: Command \k unavailable in encoding OT1. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.55 \item Punkt przecię cia 2: \( t_2 = \frac{-B - \sqrt{B^2 - 4 \cdot ... ? ! LaTeX Error: Command \end{itemize} invalid in math mode. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.56 \end{itemize} ? ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.56 \end{itemize} ? ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.56 \end{itemize} ? ! Missing $ inserted. $ l.56 \end{itemize} ? ! LaTeX Error: Command \k unavailable in encoding OT1. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.60 ...towej wraz z oznaczeniem punktów przecię cia. ? LaTeX Warning: File `intersection_plot.png' not found on input line 63. ! Package pdftex.def Error: File `intersection_plot.png' not found: using draft setting. See the pdftex.def package documentation for explanation. Type H for immediate help. ... l.63 ...idth=0.8\textwidth]{intersection_plot.png} ? [1 {/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] [2] (./main.aux) ) Here is how much of TeX's memory you used: 2636 strings out of 476091 40824 string characters out of 5794081 1859330 words of memory out of 5000000 23015 multiletter control sequences out of 15000+600000 517558 words of font info for 51 fonts, out of 8000000 for 9000 1141 hyphenation exceptions out of 8191 57i,5n,62p,217b,222s stack positions out of 10000i,1000n,20000p,200000b,200000s {/usr/sh are/texmf/fonts/enc/dvips/cm-super/cm-super-ts1.enc} Output written on main.pdf (2 pages, 132678 bytes). PDF statistics: 77 PDF objects out of 1000 (max. 8388607) 46 compressed objects within 1 object stream 0 named destinations out of 1000 (max. 500000) 1 words of extra memory for PDF output out of 10000 (max. 10000000)