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542 lines
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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
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...
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l.13 \maketitle
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?
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...
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l.17 ...zadania jest znalezienie punktów przecię
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cia dwóch funkcji: funkcj...
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...
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l.17 ...funkcji kwadratowej. Obie funkcje opisują
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zależność położenia ...
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...
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l.23 \section*{Rozwiązanie}
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...
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l.25 Aby znaleźć punkty przecię
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cia, przyrównujemy obie funkcje do siebie:
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...
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l.30 Przenoszą
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c wszystkie wyrazy na jedną stronę, otrzymujemy równanie k...
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...
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l.30 Przenosząc wszystkie wyrazy na jedną
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stronę, otrzymujemy równanie k...
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...
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l.30 ...nosząc wszystkie wyrazy na jedną stronę
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, otrzymujemy równanie kw...
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...
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l.35 Równanie to można rozwią
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zać przy użyciu wzoru kwadratowego:
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...
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l.42 Dla potrzeb zadania przyję
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liśmy następujące wartości parametrów:
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?
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...
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l.42 Dla potrzeb zadania przyjęliśmy nastę
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pujące wartości parametrów:
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?
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...
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l.42 Dla potrzeb zadania przyjęliśmy następują
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ce wartości parametrów:
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?
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...
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l.44 \item Prę
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dkość \( v = 5 \, \text{m/s} \)
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...
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l.45 \item Począ
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tkowe położenie \( s_0 = 2 \, \text{m} \)
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...
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l.49 \section*{Punkty przecięcia}
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?
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...
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l.51 Rozwią
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zując równanie kwadratowe, otrzymaliśmy następujące wartoś...
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...
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l.51 Rozwiązują
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c równanie kwadratowe, otrzymaliśmy następujące wartoś...
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...
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l.51 ...równanie kwadratowe, otrzymaliśmy nastę
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pujące wartości \( t \) ...
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l.51 ...anie kwadratowe, otrzymaliśmy następują
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l.51 ...ujące wartości \( t \) oraz odpowiadają
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l.54 \item Punkt przecię
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l.55 \item Punkt przecię
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l.56 \end{itemize}
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l.56 \end{itemize}
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l.56 \end{itemize}
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$
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l.56 \end{itemize}
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l.60 ...towej wraz z oznaczeniem punktów przecię
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cia.
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l.63 ...idth=0.8\textwidth]{intersection_plot.png}
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[1
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{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] [2] (./main.aux) )
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Here is how much of TeX's memory you used:
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2636 strings out of 476091
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40824 string characters out of 5794081
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1859330 words of memory out of 5000000
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23015 multiletter control sequences out of 15000+600000
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517558 words of font info for 51 fonts, out of 8000000 for 9000
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1141 hyphenation exceptions out of 8191
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57i,5n,62p,217b,222s stack positions out of 10000i,1000n,20000p,200000b,200000s
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{/usr/sh
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are/texmf/fonts/enc/dvips/cm-super/cm-super-ts1.enc}</usr/share/texlive/texmf-d
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ist/fonts/type1/public/amsfonts/cm/cmbx12.pfb></usr/share/texlive/texmf-dist/fo
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nts/type1/public/amsfonts/cm/cmex10.pfb></usr/share/texlive/texmf-dist/fonts/ty
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pe1/public/amsfonts/cm/cmmi10.pfb></usr/share/texlive/texmf-dist/fonts/type1/pu
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blic/amsfonts/cm/cmmi7.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/am
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sfonts/cm/cmr10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/
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cm/cmr12.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr1
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7.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr5.pfb></
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usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr7.pfb></usr/shar
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e/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy10.pfb></usr/share/texl
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ive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy7.pfb></usr/share/texlive/tex
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mf-dist/fonts/type1/public/amsfonts/cm/cmtt10.pfb></usr/share/texmf/fonts/type1
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/public/cm-super/sfrm1000.pfb>
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Output written on main.pdf (2 pages, 132678 bytes).
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PDF statistics:
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77 PDF objects out of 1000 (max. 8388607)
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46 compressed objects within 1 object stream
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0 named destinations out of 1000 (max. 500000)
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1 words of extra memory for PDF output out of 10000 (max. 10000000)
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