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diff --git a/Master/texmf-dist/doc/latex/jeopardy/example/game2a.tex b/Master/texmf-dist/doc/latex/jeopardy/example/game2a.tex deleted file mode 100644 index 7bdc9d5c798..00000000000 --- a/Master/texmf-dist/doc/latex/jeopardy/example/game2a.tex +++ /dev/null @@ -1,289 +0,0 @@ -\pdfoutput=1 - -\documentclass{article} - -\usepackage{color} - -\usepackage{amsmath} -\DeclareMathOperator{\arctg}{arctg} -\everymath{\displaystyle} - -\usepackage[pdftex,designi]{web} -\usepackage[noxcolor,pdftex]{exerquiz} -\usepackage[ImplMulti]{dljslib} - -\parindent 0pt -\def\correctColor{color.green} -\def\wrongColor{color.red} - -\usepackage[picture,finetune]{jeopardy} -\def\JeopardyPictureFile{joke.jpg} - -\def\ChampionMsg{Have a fun with math!} -\GrandPoohbahtoks{\textColor{1 1 0 rg}\textSize{0}} - -\everyCategoryHead{\color{darkgreen}\tiny} -\pagestyle{empty} - -\def\logoB{\rotatebox{90}{% - \vbox{\normalsize\hbox{\color{red}{Robert Ma\v{r}\'{i}k}} - \hbox{\color{green}Jeopardy game}}} - \vfill} - -\let\rmdefault\sfdefault -\hypersetup{pdfpagemode=Window, pdfnewwindow=true, pdfmenubar=true,% - pdftoolbar=true,colorlinks, pdfwindowui=false, - pdfpagemode=Window} - - -\AditionalShift=5pt -\begin{document} -%\CellHeight=24bp - -\Celltoks{\BG{1 1 0.8}\textSize{0}\BC{1 1 0.8}\W{0}} -\SetGameWidth{0.7\linewidth} -\everyPushButton{\S{I}\BC{}} - -\MakeGameBoard - -\begin{category}{Precalculus} - -\begin{question} -$\ln \frac xy=$ -\Ans0 $\ln x+\ln y$ -\Ans1 $\ln x-\ln y$ -\Ans0 $x\ln y$ -\Ans0 $y\ln x$ -\Ans0 none of them -\end{question} - -\begin{question} -The function $y=x^2\cdot \sin x$ is -\Ans1 odd -\Ans0 even -\Ans0 neither odd nor even -\end{question} - -\begin{question} -$\arctan 1=$ -\Ans0 $\infty$ -\Ans0 $\frac \pi3$ -\Ans1 $\frac \pi4$ -\Ans0 $\frac \pi6$ -\Ans0 none of them -\end{question} - -\begin{question} -The equivalence "$a<b$ if and only if $f(a)<f(b)$" is the property of -\Ans0 even functions -\Ans0 one-to-one functions -\Ans0 continuous functions -\Ans1 increasing functions -\Ans0 none of them -\end{question} - -\end{category} - - -\begin{category}{Functions} - -\begin{question} -How many points of inflection is on the graph of the function $y=\sin x$ in -the open interval $(0,2\pi)$ -\Ans0 none -\Ans1 one -\Ans0 two -\Ans0 three -\Ans0 none of them -\end{question} - -\begin{question} -Find points of discontinuity of the function $y=\frac {x-4}{(x-2)\ln x}$ -\Ans0 none -\Ans0 $0$ -\Ans0 $0$, $1$ -\Ans1 $0$, $1$, $2$ -\Ans0 $0$, $2$ -\Ans0 $0$, $1$, $4$ -\Ans0 $0$, $4$ -\Ans0 none of them -\end{question} - -\begin{question} -Let $f$ be a function and $f^{-1}$ be its inverse. Then $f^{-1}\bigl(f(x)\bigr)=$ -\Ans0 $0$ -\Ans0 $1$ -\Ans1 $x$ -\Ans0 $f(x)$ -\Ans0 $f^{-1}(x)$ -\Ans0 none of them -\end{question} - -\begin{question} -$\arcsin(\sin x)=x$ for every $x\in\mathbf{R}$ -\Ans0 Yes -\Ans1 No -\end{question} - -\end{category} - - -\begin{category}{Limits} - -\begin{question} -$\lim_{x\to-\infty} \arctg x=$ -\Ans0 $0$ -\Ans0 $\frac\pi2$ -\Ans1 $-\frac\pi2$ -\Ans0 $\infty$ -\Ans0 $-\infty$ -\Ans0 none of them -\end{question} - -\begin{question} -$\lim_{x\to\infty}\sin x=$ -\Ans0 $1$ -\Ans0 $-1$ -\Ans1 does not exist -\Ans0 none of them -\end{question} - -\begin{question} -$\lim_{x\to\infty}\frac{2x^3+x^2+4}{x^2-x+2}=$ -\Ans1 $\infty$ -\Ans0 $2$ -\Ans0 $0$ -\Ans0 none of them -\end{question} - -\begin{question} -$\lim_{x\to 0^+}\frac{e^{1/x}(x-1)}{x}$ -\Ans0 $0$ -\Ans0 $1$ -\Ans0 $e$ -\Ans0 $\infty$ -\Ans0 $-1$ -\Ans0 $-e$ -\Ans1 $-\infty$ -\Ans0 none of them -\end{question} - -\end{category} - -\begin{category}{Derivative} - - -\begin{question} -$\left(\frac 1{\sqrt[3]x}\right)'=$ -\Ans0 $\frac 13 x^{-2/3}$ -\Ans0 $-\frac 13 x^{-2/3}$ -%\Ans0 $\frac 13 x^{1/3}$ -\Ans0 $-\frac 13 x^{1/3}$ -\Ans0 $\frac 13 x^{-4/3}$ -\Ans1 $-\frac 13 x^{-4/3}$ -\Ans0 none of them -\end{question} - - -\begin{question} -$(x-x\ln x)'=$ -\Ans0 $\ln x$ -\Ans1 $-\ln x$ -\Ans0 $1+\ln x$ -\Ans0 $1-\ln x$ -\Ans0 $0$ -\Ans0 $1-\frac 1x$ -\Ans0 none of them -\end{question} - -\begin{question} -$\left(x^2e^{x^2}\right)'$ -\Ans0 $2xe^{2x}$ -\Ans0 $2xe^{x^2}2x$ -\Ans0 $2xe^{x^2}+x^2e^{x^2}$ -\Ans1 $2xe^{x^2}+x^2e^{x^2}2x$ -\Ans0 $2xe^{x^2}2x+x^2e^{x^2}2x$ -\Ans0 none of them -\end{question} - -\begin{question} -The definition of the derivative of the function $f$ at the point $a$ is -\Ans0 $\lim_{h\to 0}\frac{f(x+h)+f(x)}{h}$ -\Ans0 $\lim_{h\to 0}\frac{f(x+h)}{h}$ -\Ans1 $\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$ -\Ans0 $\lim_{h\to 0}\frac{f(x)-f(x+h)}{h}$ -\Ans0 $\lim_{h\to 0}\frac{f(x-h)-f(x)}{h}$ -\Ans0 none of them -\end{question} - -\end{category} - -\everyRespBoxMath{\BG{1 1 1}} -\begin{category}{Evaluation of derivatives} - \begin{question}$(x^2+1)'=$ - \RespBoxMath{2x}{3}{0.001}{[1,5]} - \end{question} - \begin{question}$(xe^x)'=$ - \RespBoxMath{(x+1)e^x}{3}{0.001}{[1,5]} - \end{question} - \begin{question}$\ln(\sin x)=$ - \RespBoxMath{cos(x)/sin(x)}{3}{0.001}{[1,2]} - \end{question} - \begin{question}$(xe^{-x})'=$ - \RespBoxMath{(1-x)e^{-x}}{3}{0.001}{[1,5]} - \end{question} -\end{category} - - - -\begin{category}{Theory} - -\begin{question} By theorem of Bolzano, the polynomial $y=x^3+2x+4$ has zero on -\Ans0 $(0,1)$ -\Ans0 $(1,2)$ -\Ans0 $(2,3)$ -\Ans0 $(-1,0)$ -\Ans1 $(-2,-1)$ -\Ans0 $(-3,-2)$ -\Ans0 none of them -\end{question} - - -\begin{question} -Let $a\in Im(f)$. Then the solution of the equation $f(x)=a$ exists. This -solution is unique if and only if -\Ans1 $f$ is one-to-one -\Ans0 $f$ is increasing -\Ans0 $f$ continuous -\Ans0 $f$ differentiable -\Ans0 none of them -\end{question} - - -\begin{question} -If the function has a derivative at the point $x=a$, then it is -\Ans0 increasing at $a$. -\Ans0 decreasing at $a$. -\Ans0 one-to-one at $a$. -\Ans1 continuous at $a$. -\Ans0 undefined at $a$. -\end{question} - -\begin{question} -If both $y(a)=y'(a)=y''(a)=0$, then the function -\Ans0 has local maximum at $a$. -\Ans0 has local minimum at $a$. -\Ans0 has point of inflection at $a$. -\Ans1 any of these possibilites may be true, we need more informations. -\end{question} - -\end{category} - - -\end{document} -%%% Local Variables: -%%% mode: latex -%%% TeX-master: t -%%% End: - - |