Plotting exponential functions












5














Can anyone give me a clue on how to plot this function:



4(t-1)e^-0,5t+8



It can be with any package, as the ones I've tried to use don't work (pgfplots gives me TeX capacity exceeded, sorry), my attempts with other packages aren't even remotely working :(



The graph only has to be in between 0 and 10. Also, is there any way to put a table with the values next to the graph?



Thanks for your help..










share|improve this question




















  • 2




    How would anyone know what's wrong with your code if you do not reveal it?
    – marmot
    Nov 27 '18 at 18:49






  • 2




    Add a minimum working example of what you have tried so far.
    – nidhin
    Nov 27 '18 at 18:49












  • since i was just experimenting with some packages, there isn't much code to show
    – writzlpfrimpft
    Nov 27 '18 at 18:53






  • 1




    There must be some code that causes TeX capacity exceeded, sorry, right?
    – marmot
    Nov 27 '18 at 19:11


















5














Can anyone give me a clue on how to plot this function:



4(t-1)e^-0,5t+8



It can be with any package, as the ones I've tried to use don't work (pgfplots gives me TeX capacity exceeded, sorry), my attempts with other packages aren't even remotely working :(



The graph only has to be in between 0 and 10. Also, is there any way to put a table with the values next to the graph?



Thanks for your help..










share|improve this question




















  • 2




    How would anyone know what's wrong with your code if you do not reveal it?
    – marmot
    Nov 27 '18 at 18:49






  • 2




    Add a minimum working example of what you have tried so far.
    – nidhin
    Nov 27 '18 at 18:49












  • since i was just experimenting with some packages, there isn't much code to show
    – writzlpfrimpft
    Nov 27 '18 at 18:53






  • 1




    There must be some code that causes TeX capacity exceeded, sorry, right?
    – marmot
    Nov 27 '18 at 19:11
















5












5








5







Can anyone give me a clue on how to plot this function:



4(t-1)e^-0,5t+8



It can be with any package, as the ones I've tried to use don't work (pgfplots gives me TeX capacity exceeded, sorry), my attempts with other packages aren't even remotely working :(



The graph only has to be in between 0 and 10. Also, is there any way to put a table with the values next to the graph?



Thanks for your help..










share|improve this question















Can anyone give me a clue on how to plot this function:



4(t-1)e^-0,5t+8



It can be with any package, as the ones I've tried to use don't work (pgfplots gives me TeX capacity exceeded, sorry), my attempts with other packages aren't even remotely working :(



The graph only has to be in between 0 and 10. Also, is there any way to put a table with the values next to the graph?



Thanks for your help..







plot






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Nov 27 '18 at 18:53

























asked Nov 27 '18 at 18:43









writzlpfrimpft

564




564








  • 2




    How would anyone know what's wrong with your code if you do not reveal it?
    – marmot
    Nov 27 '18 at 18:49






  • 2




    Add a minimum working example of what you have tried so far.
    – nidhin
    Nov 27 '18 at 18:49












  • since i was just experimenting with some packages, there isn't much code to show
    – writzlpfrimpft
    Nov 27 '18 at 18:53






  • 1




    There must be some code that causes TeX capacity exceeded, sorry, right?
    – marmot
    Nov 27 '18 at 19:11
















  • 2




    How would anyone know what's wrong with your code if you do not reveal it?
    – marmot
    Nov 27 '18 at 18:49






  • 2




    Add a minimum working example of what you have tried so far.
    – nidhin
    Nov 27 '18 at 18:49












  • since i was just experimenting with some packages, there isn't much code to show
    – writzlpfrimpft
    Nov 27 '18 at 18:53






  • 1




    There must be some code that causes TeX capacity exceeded, sorry, right?
    – marmot
    Nov 27 '18 at 19:11










2




2




How would anyone know what's wrong with your code if you do not reveal it?
– marmot
Nov 27 '18 at 18:49




How would anyone know what's wrong with your code if you do not reveal it?
– marmot
Nov 27 '18 at 18:49




2




2




Add a minimum working example of what you have tried so far.
– nidhin
Nov 27 '18 at 18:49






Add a minimum working example of what you have tried so far.
– nidhin
Nov 27 '18 at 18:49














since i was just experimenting with some packages, there isn't much code to show
– writzlpfrimpft
Nov 27 '18 at 18:53




since i was just experimenting with some packages, there isn't much code to show
– writzlpfrimpft
Nov 27 '18 at 18:53




1




1




There must be some code that causes TeX capacity exceeded, sorry, right?
– marmot
Nov 27 '18 at 19:11






There must be some code that causes TeX capacity exceeded, sorry, right?
– marmot
Nov 27 '18 at 19:11












5 Answers
5






active

oldest

votes


















7














documentclass[tikz,border=3.14mm]{standalone}
usepackage{pgfplots}
pgfplotsset{compat=1.16}
begin{document}
begin{tikzpicture}[declare function={myexp(x)=4*(x-1)*exp(-0.5*x)+8;}]
begin{axis}
addplot [domain=0:5] {myexp(x)};
end{axis}
end{tikzpicture}
end{document}


enter image description here



And of course it is possible to add the range from 1 to 10, and to add a table. (You added these requests only after I answer was there.)



documentclass[tikz,border=3.14mm]{standalone}
usetikzlibrary{matrix,calc}
usepackage{pgfplots}
pgfplotsset{compat=1.16}
begin{document}
begin{tikzpicture}[declare function={myexp(x)=4*(x-1)*exp(-0.5*x)+8;}]
begin{axis}
addplot [domain=0:10,samples=101] {myexp(x)};
end{axis}
matrix[matrix of math nodes,anchor=north west,%
column 1/.style={align=right,text width=5mm},
column 2/.style={align=left,text width=8mm}] (mat) at ([xshift=0.2cm]current axis.north
east) {%
x & f(x)\
0 & pgfmathparse{myexp(0)}pgfmathprintnumber{pgfmathresult}\
1 & pgfmathparse{myexp(1)}pgfmathprintnumber{pgfmathresult}\
2 & pgfmathparse{myexp(2)}pgfmathprintnumber{pgfmathresult}\
3 & pgfmathparse{myexp(3)}pgfmathprintnumber{pgfmathresult}\
4 & pgfmathparse{myexp(4)}pgfmathprintnumber{pgfmathresult}\
5 & pgfmathparse{myexp(5)}pgfmathprintnumber{pgfmathresult}\
6 & pgfmathparse{myexp(6)}pgfmathprintnumber{pgfmathresult}\
7 & pgfmathparse{myexp(7)}pgfmathprintnumber{pgfmathresult}\
8 & pgfmathparse{myexp(8)}pgfmathprintnumber{pgfmathresult}\
9 & pgfmathparse{myexp(9)}pgfmathprintnumber{pgfmathresult}\
10 & pgfmathparse{myexp(10)}pgfmathprintnumber{pgfmathresult}\
};
draw ($(mat-1-1.south west)!0.5!(mat-2-1.north west)$) --
($(mat-1-2.south east)!0.5!(mat-2-2.north east)$);
draw ($(mat-1-1.north east)!0.5!(mat-1-2.north west)$) --
($(mat-12-1.south east)!0.5!(mat-12-2.south west)$);
end{tikzpicture}
end{document}


enter image description here



Note that you can also generate the table in a foreach loop, but I am not going to spell this out here.






share|improve this answer































    3














    run with xelatex



    documentclass[pstricks,border=5mm]{standalone}
    usepackage{pst-plot}

    begin{document}
    begin{pspicture}(-1,-1)(11,11)
    psaxes{->}(0,0)(-0.5,-0.5)(10,10)[$x$,0][$y$,90]
    psplot[algebraic,linecolor=blue,linewidth=2pt]{0}{10}{4*(x-1)*Euler^(-0.5*x)+8}
    end{pspicture}
    end{document}


    enter image description here






    share|improve this answer





























      3














      A variant with pstricks:



      documentclass[11pt, svgnames, border=6pt]{standalone}
      usepackage{pst-func}
      usepackage{auto-pst-pdf}

      begin{document}

      begin{pspicture*}(-1.2,-1.2)(11,11)
      psset{psgrid, gridcoor ={(0,0)(10,10)}, algebraic}
      defF{4*(x-1)*EXP(-x/2) + 8}
      psaxes[labels=all, arrows=->, arrowinset=0.1, linecolor=SteelBlue, tickcolor=LightSteelBlue, Dx = 5, Dy = 5, subticks = 5]%
      (0,0)(-1,-1)(11,11)[$t$, -120][$y$,-135]
      uput[dl](0,0){$ O $}%
      psplot[linewidth=1.5pt, linecolor=IndianRed, plotstyle=curve, plotpoints=200]{0}{10}{F}%
      psCoordinates[linestyle=dashed, linewidth=0.4pt, linecolor=LightSteelBlue](3, 9.785)
      psplotTangent[linecolor=LightSteelBlue]{3}{1}{F}
      uput[d](3,0){small$3$}
      end{pspicture*}

      end{document}


      enter image description here






      share|improve this answer





























        2














        If you know R, then knitr is a simple option:



        mwe



        documentclass{article}
        begin{document}
        <<echo=F,dev="tikz",fig.cap="My function $f(t)=4(t-1)e^{-0.5t}+8$", fig.width=5, fig.height=5, out.width = "\linewidth">>=
        t <- seq(0,10,.1)
        y <- 4*(t-1)*exp(-0.5*t)+8
        plot(t,y,type='l',col='navy', lwd=3,ylab="f(t)",las=1,frame.plot = F, cex.lab=1.2)
        @
        end{document}


        R could also produce the table easily, but place it beside the figure need some tuning of R and LaTeX code:



        MWE



        documentclass{article}
        usepackage{booktabs}
        begin{document}
        begin{figure}
        <<xxx, echo=F,dev="tikz", fig.show='hide', fig.width=3, fig.height=3, out.width = "3in", out.height="3in">>=
        t <- seq(0,10,.1)
        y <- 4*(t-1)*exp(-0.5*t)+8
        par(mar=c(4.5,4.5,0.5,0))
        plot(t,y,type='l',col='navy', lwd=3,ylab="f(t)",las=1,frame.plot = F, cex.lab=1.2)
        @
        begin{minipage}[t]{3in}vspace{0pt}
        includegraphics{figure/xxx-1}
        end{minipage}hfill%
        begin{minipage}[t]{.2linewidth}smallskip
        <<echo=F,results='asis'>>=
        x <- seq(0,10)
        y <- 4*(x-1)*exp(-0.5*x)+8
        df <- data.frame(t=x,f=y)
        names(df) <- c("t (time)","Function f(t)")
        library(xtable)
        print(xtable(df,align=rep("c",3)), include.rownames=F,floating=F, booktabs=T)
        @
        end{minipage}
        caption{My function $f(t)=4(t-1)e^{-0.5t}+8$}
        end{figure}
        end{document}





        share|improve this answer































          2














          Quick and dirty attempt with MetaPost, included in a LuaLaTeX program.



          Edit: Asymptote added.



          RequirePackage{luatex85}
          documentclass[border=2mm]{standalone}
          usepackage{luamplib}
          mplibsetformat{metafun}
          mplibtextextlabel{enable}
          mplibnumbersystem{double}
          begin{document}
          begin{mplibcode}
          u := cm; v = .75cm;
          vardef f(expr t) = 4(t-1)*exp(-.5t) + 8 enddef;
          tmax = 10.5; tstep = .1; ymin = 0; ymax = 10.5;
          path curve;
          curve = (0, f(0))
          for t = tstep step tstep until tmax+.5tstep:
          .. (t, f(t))
          endfor;
          beginfig(1);
          draw curve xyscaled (u, v) withcolor red;
          draw (0, 8v) -- (tmax*u, 8v) withcolor red dashed evenly;
          drawarrow origin -- (tmax*u, 0);
          drawarrow (0, ymin*v) -- (0, ymax*v);
          for i = 0 upto floor(tmax):
          if i<>0:
          draw (i*u, -2bp) -- (i*u, 2bp);
          label.bot("$" & decimal i & "$", (i*u, 0)); fi
          endfor;
          for j = ceiling(ymin) upto floor(ymax):
          if j<>0:
          draw (2bp, j*v) -- (-2bp, j*v);
          label.lft("$" & decimal j & "$", (0, j*v)); fi
          endfor;
          label.llft("$O$", origin); label.bot("$t$", (tmax*u, 0)); label.lft("$y$", (0, ymax*v));
          endfig;
          end{mplibcode}
          end{document}


          enter image description here






          share|improve this answer























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            5 Answers
            5






            active

            oldest

            votes








            5 Answers
            5






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            7














            documentclass[tikz,border=3.14mm]{standalone}
            usepackage{pgfplots}
            pgfplotsset{compat=1.16}
            begin{document}
            begin{tikzpicture}[declare function={myexp(x)=4*(x-1)*exp(-0.5*x)+8;}]
            begin{axis}
            addplot [domain=0:5] {myexp(x)};
            end{axis}
            end{tikzpicture}
            end{document}


            enter image description here



            And of course it is possible to add the range from 1 to 10, and to add a table. (You added these requests only after I answer was there.)



            documentclass[tikz,border=3.14mm]{standalone}
            usetikzlibrary{matrix,calc}
            usepackage{pgfplots}
            pgfplotsset{compat=1.16}
            begin{document}
            begin{tikzpicture}[declare function={myexp(x)=4*(x-1)*exp(-0.5*x)+8;}]
            begin{axis}
            addplot [domain=0:10,samples=101] {myexp(x)};
            end{axis}
            matrix[matrix of math nodes,anchor=north west,%
            column 1/.style={align=right,text width=5mm},
            column 2/.style={align=left,text width=8mm}] (mat) at ([xshift=0.2cm]current axis.north
            east) {%
            x & f(x)\
            0 & pgfmathparse{myexp(0)}pgfmathprintnumber{pgfmathresult}\
            1 & pgfmathparse{myexp(1)}pgfmathprintnumber{pgfmathresult}\
            2 & pgfmathparse{myexp(2)}pgfmathprintnumber{pgfmathresult}\
            3 & pgfmathparse{myexp(3)}pgfmathprintnumber{pgfmathresult}\
            4 & pgfmathparse{myexp(4)}pgfmathprintnumber{pgfmathresult}\
            5 & pgfmathparse{myexp(5)}pgfmathprintnumber{pgfmathresult}\
            6 & pgfmathparse{myexp(6)}pgfmathprintnumber{pgfmathresult}\
            7 & pgfmathparse{myexp(7)}pgfmathprintnumber{pgfmathresult}\
            8 & pgfmathparse{myexp(8)}pgfmathprintnumber{pgfmathresult}\
            9 & pgfmathparse{myexp(9)}pgfmathprintnumber{pgfmathresult}\
            10 & pgfmathparse{myexp(10)}pgfmathprintnumber{pgfmathresult}\
            };
            draw ($(mat-1-1.south west)!0.5!(mat-2-1.north west)$) --
            ($(mat-1-2.south east)!0.5!(mat-2-2.north east)$);
            draw ($(mat-1-1.north east)!0.5!(mat-1-2.north west)$) --
            ($(mat-12-1.south east)!0.5!(mat-12-2.south west)$);
            end{tikzpicture}
            end{document}


            enter image description here



            Note that you can also generate the table in a foreach loop, but I am not going to spell this out here.






            share|improve this answer




























              7














              documentclass[tikz,border=3.14mm]{standalone}
              usepackage{pgfplots}
              pgfplotsset{compat=1.16}
              begin{document}
              begin{tikzpicture}[declare function={myexp(x)=4*(x-1)*exp(-0.5*x)+8;}]
              begin{axis}
              addplot [domain=0:5] {myexp(x)};
              end{axis}
              end{tikzpicture}
              end{document}


              enter image description here



              And of course it is possible to add the range from 1 to 10, and to add a table. (You added these requests only after I answer was there.)



              documentclass[tikz,border=3.14mm]{standalone}
              usetikzlibrary{matrix,calc}
              usepackage{pgfplots}
              pgfplotsset{compat=1.16}
              begin{document}
              begin{tikzpicture}[declare function={myexp(x)=4*(x-1)*exp(-0.5*x)+8;}]
              begin{axis}
              addplot [domain=0:10,samples=101] {myexp(x)};
              end{axis}
              matrix[matrix of math nodes,anchor=north west,%
              column 1/.style={align=right,text width=5mm},
              column 2/.style={align=left,text width=8mm}] (mat) at ([xshift=0.2cm]current axis.north
              east) {%
              x & f(x)\
              0 & pgfmathparse{myexp(0)}pgfmathprintnumber{pgfmathresult}\
              1 & pgfmathparse{myexp(1)}pgfmathprintnumber{pgfmathresult}\
              2 & pgfmathparse{myexp(2)}pgfmathprintnumber{pgfmathresult}\
              3 & pgfmathparse{myexp(3)}pgfmathprintnumber{pgfmathresult}\
              4 & pgfmathparse{myexp(4)}pgfmathprintnumber{pgfmathresult}\
              5 & pgfmathparse{myexp(5)}pgfmathprintnumber{pgfmathresult}\
              6 & pgfmathparse{myexp(6)}pgfmathprintnumber{pgfmathresult}\
              7 & pgfmathparse{myexp(7)}pgfmathprintnumber{pgfmathresult}\
              8 & pgfmathparse{myexp(8)}pgfmathprintnumber{pgfmathresult}\
              9 & pgfmathparse{myexp(9)}pgfmathprintnumber{pgfmathresult}\
              10 & pgfmathparse{myexp(10)}pgfmathprintnumber{pgfmathresult}\
              };
              draw ($(mat-1-1.south west)!0.5!(mat-2-1.north west)$) --
              ($(mat-1-2.south east)!0.5!(mat-2-2.north east)$);
              draw ($(mat-1-1.north east)!0.5!(mat-1-2.north west)$) --
              ($(mat-12-1.south east)!0.5!(mat-12-2.south west)$);
              end{tikzpicture}
              end{document}


              enter image description here



              Note that you can also generate the table in a foreach loop, but I am not going to spell this out here.






              share|improve this answer


























                7












                7








                7






                documentclass[tikz,border=3.14mm]{standalone}
                usepackage{pgfplots}
                pgfplotsset{compat=1.16}
                begin{document}
                begin{tikzpicture}[declare function={myexp(x)=4*(x-1)*exp(-0.5*x)+8;}]
                begin{axis}
                addplot [domain=0:5] {myexp(x)};
                end{axis}
                end{tikzpicture}
                end{document}


                enter image description here



                And of course it is possible to add the range from 1 to 10, and to add a table. (You added these requests only after I answer was there.)



                documentclass[tikz,border=3.14mm]{standalone}
                usetikzlibrary{matrix,calc}
                usepackage{pgfplots}
                pgfplotsset{compat=1.16}
                begin{document}
                begin{tikzpicture}[declare function={myexp(x)=4*(x-1)*exp(-0.5*x)+8;}]
                begin{axis}
                addplot [domain=0:10,samples=101] {myexp(x)};
                end{axis}
                matrix[matrix of math nodes,anchor=north west,%
                column 1/.style={align=right,text width=5mm},
                column 2/.style={align=left,text width=8mm}] (mat) at ([xshift=0.2cm]current axis.north
                east) {%
                x & f(x)\
                0 & pgfmathparse{myexp(0)}pgfmathprintnumber{pgfmathresult}\
                1 & pgfmathparse{myexp(1)}pgfmathprintnumber{pgfmathresult}\
                2 & pgfmathparse{myexp(2)}pgfmathprintnumber{pgfmathresult}\
                3 & pgfmathparse{myexp(3)}pgfmathprintnumber{pgfmathresult}\
                4 & pgfmathparse{myexp(4)}pgfmathprintnumber{pgfmathresult}\
                5 & pgfmathparse{myexp(5)}pgfmathprintnumber{pgfmathresult}\
                6 & pgfmathparse{myexp(6)}pgfmathprintnumber{pgfmathresult}\
                7 & pgfmathparse{myexp(7)}pgfmathprintnumber{pgfmathresult}\
                8 & pgfmathparse{myexp(8)}pgfmathprintnumber{pgfmathresult}\
                9 & pgfmathparse{myexp(9)}pgfmathprintnumber{pgfmathresult}\
                10 & pgfmathparse{myexp(10)}pgfmathprintnumber{pgfmathresult}\
                };
                draw ($(mat-1-1.south west)!0.5!(mat-2-1.north west)$) --
                ($(mat-1-2.south east)!0.5!(mat-2-2.north east)$);
                draw ($(mat-1-1.north east)!0.5!(mat-1-2.north west)$) --
                ($(mat-12-1.south east)!0.5!(mat-12-2.south west)$);
                end{tikzpicture}
                end{document}


                enter image description here



                Note that you can also generate the table in a foreach loop, but I am not going to spell this out here.






                share|improve this answer














                documentclass[tikz,border=3.14mm]{standalone}
                usepackage{pgfplots}
                pgfplotsset{compat=1.16}
                begin{document}
                begin{tikzpicture}[declare function={myexp(x)=4*(x-1)*exp(-0.5*x)+8;}]
                begin{axis}
                addplot [domain=0:5] {myexp(x)};
                end{axis}
                end{tikzpicture}
                end{document}


                enter image description here



                And of course it is possible to add the range from 1 to 10, and to add a table. (You added these requests only after I answer was there.)



                documentclass[tikz,border=3.14mm]{standalone}
                usetikzlibrary{matrix,calc}
                usepackage{pgfplots}
                pgfplotsset{compat=1.16}
                begin{document}
                begin{tikzpicture}[declare function={myexp(x)=4*(x-1)*exp(-0.5*x)+8;}]
                begin{axis}
                addplot [domain=0:10,samples=101] {myexp(x)};
                end{axis}
                matrix[matrix of math nodes,anchor=north west,%
                column 1/.style={align=right,text width=5mm},
                column 2/.style={align=left,text width=8mm}] (mat) at ([xshift=0.2cm]current axis.north
                east) {%
                x & f(x)\
                0 & pgfmathparse{myexp(0)}pgfmathprintnumber{pgfmathresult}\
                1 & pgfmathparse{myexp(1)}pgfmathprintnumber{pgfmathresult}\
                2 & pgfmathparse{myexp(2)}pgfmathprintnumber{pgfmathresult}\
                3 & pgfmathparse{myexp(3)}pgfmathprintnumber{pgfmathresult}\
                4 & pgfmathparse{myexp(4)}pgfmathprintnumber{pgfmathresult}\
                5 & pgfmathparse{myexp(5)}pgfmathprintnumber{pgfmathresult}\
                6 & pgfmathparse{myexp(6)}pgfmathprintnumber{pgfmathresult}\
                7 & pgfmathparse{myexp(7)}pgfmathprintnumber{pgfmathresult}\
                8 & pgfmathparse{myexp(8)}pgfmathprintnumber{pgfmathresult}\
                9 & pgfmathparse{myexp(9)}pgfmathprintnumber{pgfmathresult}\
                10 & pgfmathparse{myexp(10)}pgfmathprintnumber{pgfmathresult}\
                };
                draw ($(mat-1-1.south west)!0.5!(mat-2-1.north west)$) --
                ($(mat-1-2.south east)!0.5!(mat-2-2.north east)$);
                draw ($(mat-1-1.north east)!0.5!(mat-1-2.north west)$) --
                ($(mat-12-1.south east)!0.5!(mat-12-2.south west)$);
                end{tikzpicture}
                end{document}


                enter image description here



                Note that you can also generate the table in a foreach loop, but I am not going to spell this out here.







                share|improve this answer














                share|improve this answer



                share|improve this answer








                edited Nov 27 '18 at 23:24

























                answered Nov 27 '18 at 18:48









                marmot

                88.9k4102191




                88.9k4102191























                    3














                    run with xelatex



                    documentclass[pstricks,border=5mm]{standalone}
                    usepackage{pst-plot}

                    begin{document}
                    begin{pspicture}(-1,-1)(11,11)
                    psaxes{->}(0,0)(-0.5,-0.5)(10,10)[$x$,0][$y$,90]
                    psplot[algebraic,linecolor=blue,linewidth=2pt]{0}{10}{4*(x-1)*Euler^(-0.5*x)+8}
                    end{pspicture}
                    end{document}


                    enter image description here






                    share|improve this answer


























                      3














                      run with xelatex



                      documentclass[pstricks,border=5mm]{standalone}
                      usepackage{pst-plot}

                      begin{document}
                      begin{pspicture}(-1,-1)(11,11)
                      psaxes{->}(0,0)(-0.5,-0.5)(10,10)[$x$,0][$y$,90]
                      psplot[algebraic,linecolor=blue,linewidth=2pt]{0}{10}{4*(x-1)*Euler^(-0.5*x)+8}
                      end{pspicture}
                      end{document}


                      enter image description here






                      share|improve this answer
























                        3












                        3








                        3






                        run with xelatex



                        documentclass[pstricks,border=5mm]{standalone}
                        usepackage{pst-plot}

                        begin{document}
                        begin{pspicture}(-1,-1)(11,11)
                        psaxes{->}(0,0)(-0.5,-0.5)(10,10)[$x$,0][$y$,90]
                        psplot[algebraic,linecolor=blue,linewidth=2pt]{0}{10}{4*(x-1)*Euler^(-0.5*x)+8}
                        end{pspicture}
                        end{document}


                        enter image description here






                        share|improve this answer












                        run with xelatex



                        documentclass[pstricks,border=5mm]{standalone}
                        usepackage{pst-plot}

                        begin{document}
                        begin{pspicture}(-1,-1)(11,11)
                        psaxes{->}(0,0)(-0.5,-0.5)(10,10)[$x$,0][$y$,90]
                        psplot[algebraic,linecolor=blue,linewidth=2pt]{0}{10}{4*(x-1)*Euler^(-0.5*x)+8}
                        end{pspicture}
                        end{document}


                        enter image description here







                        share|improve this answer












                        share|improve this answer



                        share|improve this answer










                        answered Nov 27 '18 at 20:49









                        Herbert

                        270k24408717




                        270k24408717























                            3














                            A variant with pstricks:



                            documentclass[11pt, svgnames, border=6pt]{standalone}
                            usepackage{pst-func}
                            usepackage{auto-pst-pdf}

                            begin{document}

                            begin{pspicture*}(-1.2,-1.2)(11,11)
                            psset{psgrid, gridcoor ={(0,0)(10,10)}, algebraic}
                            defF{4*(x-1)*EXP(-x/2) + 8}
                            psaxes[labels=all, arrows=->, arrowinset=0.1, linecolor=SteelBlue, tickcolor=LightSteelBlue, Dx = 5, Dy = 5, subticks = 5]%
                            (0,0)(-1,-1)(11,11)[$t$, -120][$y$,-135]
                            uput[dl](0,0){$ O $}%
                            psplot[linewidth=1.5pt, linecolor=IndianRed, plotstyle=curve, plotpoints=200]{0}{10}{F}%
                            psCoordinates[linestyle=dashed, linewidth=0.4pt, linecolor=LightSteelBlue](3, 9.785)
                            psplotTangent[linecolor=LightSteelBlue]{3}{1}{F}
                            uput[d](3,0){small$3$}
                            end{pspicture*}

                            end{document}


                            enter image description here






                            share|improve this answer


























                              3














                              A variant with pstricks:



                              documentclass[11pt, svgnames, border=6pt]{standalone}
                              usepackage{pst-func}
                              usepackage{auto-pst-pdf}

                              begin{document}

                              begin{pspicture*}(-1.2,-1.2)(11,11)
                              psset{psgrid, gridcoor ={(0,0)(10,10)}, algebraic}
                              defF{4*(x-1)*EXP(-x/2) + 8}
                              psaxes[labels=all, arrows=->, arrowinset=0.1, linecolor=SteelBlue, tickcolor=LightSteelBlue, Dx = 5, Dy = 5, subticks = 5]%
                              (0,0)(-1,-1)(11,11)[$t$, -120][$y$,-135]
                              uput[dl](0,0){$ O $}%
                              psplot[linewidth=1.5pt, linecolor=IndianRed, plotstyle=curve, plotpoints=200]{0}{10}{F}%
                              psCoordinates[linestyle=dashed, linewidth=0.4pt, linecolor=LightSteelBlue](3, 9.785)
                              psplotTangent[linecolor=LightSteelBlue]{3}{1}{F}
                              uput[d](3,0){small$3$}
                              end{pspicture*}

                              end{document}


                              enter image description here






                              share|improve this answer
























                                3












                                3








                                3






                                A variant with pstricks:



                                documentclass[11pt, svgnames, border=6pt]{standalone}
                                usepackage{pst-func}
                                usepackage{auto-pst-pdf}

                                begin{document}

                                begin{pspicture*}(-1.2,-1.2)(11,11)
                                psset{psgrid, gridcoor ={(0,0)(10,10)}, algebraic}
                                defF{4*(x-1)*EXP(-x/2) + 8}
                                psaxes[labels=all, arrows=->, arrowinset=0.1, linecolor=SteelBlue, tickcolor=LightSteelBlue, Dx = 5, Dy = 5, subticks = 5]%
                                (0,0)(-1,-1)(11,11)[$t$, -120][$y$,-135]
                                uput[dl](0,0){$ O $}%
                                psplot[linewidth=1.5pt, linecolor=IndianRed, plotstyle=curve, plotpoints=200]{0}{10}{F}%
                                psCoordinates[linestyle=dashed, linewidth=0.4pt, linecolor=LightSteelBlue](3, 9.785)
                                psplotTangent[linecolor=LightSteelBlue]{3}{1}{F}
                                uput[d](3,0){small$3$}
                                end{pspicture*}

                                end{document}


                                enter image description here






                                share|improve this answer












                                A variant with pstricks:



                                documentclass[11pt, svgnames, border=6pt]{standalone}
                                usepackage{pst-func}
                                usepackage{auto-pst-pdf}

                                begin{document}

                                begin{pspicture*}(-1.2,-1.2)(11,11)
                                psset{psgrid, gridcoor ={(0,0)(10,10)}, algebraic}
                                defF{4*(x-1)*EXP(-x/2) + 8}
                                psaxes[labels=all, arrows=->, arrowinset=0.1, linecolor=SteelBlue, tickcolor=LightSteelBlue, Dx = 5, Dy = 5, subticks = 5]%
                                (0,0)(-1,-1)(11,11)[$t$, -120][$y$,-135]
                                uput[dl](0,0){$ O $}%
                                psplot[linewidth=1.5pt, linecolor=IndianRed, plotstyle=curve, plotpoints=200]{0}{10}{F}%
                                psCoordinates[linestyle=dashed, linewidth=0.4pt, linecolor=LightSteelBlue](3, 9.785)
                                psplotTangent[linecolor=LightSteelBlue]{3}{1}{F}
                                uput[d](3,0){small$3$}
                                end{pspicture*}

                                end{document}


                                enter image description here







                                share|improve this answer












                                share|improve this answer



                                share|improve this answer










                                answered Nov 27 '18 at 21:07









                                Bernard

                                166k769194




                                166k769194























                                    2














                                    If you know R, then knitr is a simple option:



                                    mwe



                                    documentclass{article}
                                    begin{document}
                                    <<echo=F,dev="tikz",fig.cap="My function $f(t)=4(t-1)e^{-0.5t}+8$", fig.width=5, fig.height=5, out.width = "\linewidth">>=
                                    t <- seq(0,10,.1)
                                    y <- 4*(t-1)*exp(-0.5*t)+8
                                    plot(t,y,type='l',col='navy', lwd=3,ylab="f(t)",las=1,frame.plot = F, cex.lab=1.2)
                                    @
                                    end{document}


                                    R could also produce the table easily, but place it beside the figure need some tuning of R and LaTeX code:



                                    MWE



                                    documentclass{article}
                                    usepackage{booktabs}
                                    begin{document}
                                    begin{figure}
                                    <<xxx, echo=F,dev="tikz", fig.show='hide', fig.width=3, fig.height=3, out.width = "3in", out.height="3in">>=
                                    t <- seq(0,10,.1)
                                    y <- 4*(t-1)*exp(-0.5*t)+8
                                    par(mar=c(4.5,4.5,0.5,0))
                                    plot(t,y,type='l',col='navy', lwd=3,ylab="f(t)",las=1,frame.plot = F, cex.lab=1.2)
                                    @
                                    begin{minipage}[t]{3in}vspace{0pt}
                                    includegraphics{figure/xxx-1}
                                    end{minipage}hfill%
                                    begin{minipage}[t]{.2linewidth}smallskip
                                    <<echo=F,results='asis'>>=
                                    x <- seq(0,10)
                                    y <- 4*(x-1)*exp(-0.5*x)+8
                                    df <- data.frame(t=x,f=y)
                                    names(df) <- c("t (time)","Function f(t)")
                                    library(xtable)
                                    print(xtable(df,align=rep("c",3)), include.rownames=F,floating=F, booktabs=T)
                                    @
                                    end{minipage}
                                    caption{My function $f(t)=4(t-1)e^{-0.5t}+8$}
                                    end{figure}
                                    end{document}





                                    share|improve this answer




























                                      2














                                      If you know R, then knitr is a simple option:



                                      mwe



                                      documentclass{article}
                                      begin{document}
                                      <<echo=F,dev="tikz",fig.cap="My function $f(t)=4(t-1)e^{-0.5t}+8$", fig.width=5, fig.height=5, out.width = "\linewidth">>=
                                      t <- seq(0,10,.1)
                                      y <- 4*(t-1)*exp(-0.5*t)+8
                                      plot(t,y,type='l',col='navy', lwd=3,ylab="f(t)",las=1,frame.plot = F, cex.lab=1.2)
                                      @
                                      end{document}


                                      R could also produce the table easily, but place it beside the figure need some tuning of R and LaTeX code:



                                      MWE



                                      documentclass{article}
                                      usepackage{booktabs}
                                      begin{document}
                                      begin{figure}
                                      <<xxx, echo=F,dev="tikz", fig.show='hide', fig.width=3, fig.height=3, out.width = "3in", out.height="3in">>=
                                      t <- seq(0,10,.1)
                                      y <- 4*(t-1)*exp(-0.5*t)+8
                                      par(mar=c(4.5,4.5,0.5,0))
                                      plot(t,y,type='l',col='navy', lwd=3,ylab="f(t)",las=1,frame.plot = F, cex.lab=1.2)
                                      @
                                      begin{minipage}[t]{3in}vspace{0pt}
                                      includegraphics{figure/xxx-1}
                                      end{minipage}hfill%
                                      begin{minipage}[t]{.2linewidth}smallskip
                                      <<echo=F,results='asis'>>=
                                      x <- seq(0,10)
                                      y <- 4*(x-1)*exp(-0.5*x)+8
                                      df <- data.frame(t=x,f=y)
                                      names(df) <- c("t (time)","Function f(t)")
                                      library(xtable)
                                      print(xtable(df,align=rep("c",3)), include.rownames=F,floating=F, booktabs=T)
                                      @
                                      end{minipage}
                                      caption{My function $f(t)=4(t-1)e^{-0.5t}+8$}
                                      end{figure}
                                      end{document}





                                      share|improve this answer


























                                        2












                                        2








                                        2






                                        If you know R, then knitr is a simple option:



                                        mwe



                                        documentclass{article}
                                        begin{document}
                                        <<echo=F,dev="tikz",fig.cap="My function $f(t)=4(t-1)e^{-0.5t}+8$", fig.width=5, fig.height=5, out.width = "\linewidth">>=
                                        t <- seq(0,10,.1)
                                        y <- 4*(t-1)*exp(-0.5*t)+8
                                        plot(t,y,type='l',col='navy', lwd=3,ylab="f(t)",las=1,frame.plot = F, cex.lab=1.2)
                                        @
                                        end{document}


                                        R could also produce the table easily, but place it beside the figure need some tuning of R and LaTeX code:



                                        MWE



                                        documentclass{article}
                                        usepackage{booktabs}
                                        begin{document}
                                        begin{figure}
                                        <<xxx, echo=F,dev="tikz", fig.show='hide', fig.width=3, fig.height=3, out.width = "3in", out.height="3in">>=
                                        t <- seq(0,10,.1)
                                        y <- 4*(t-1)*exp(-0.5*t)+8
                                        par(mar=c(4.5,4.5,0.5,0))
                                        plot(t,y,type='l',col='navy', lwd=3,ylab="f(t)",las=1,frame.plot = F, cex.lab=1.2)
                                        @
                                        begin{minipage}[t]{3in}vspace{0pt}
                                        includegraphics{figure/xxx-1}
                                        end{minipage}hfill%
                                        begin{minipage}[t]{.2linewidth}smallskip
                                        <<echo=F,results='asis'>>=
                                        x <- seq(0,10)
                                        y <- 4*(x-1)*exp(-0.5*x)+8
                                        df <- data.frame(t=x,f=y)
                                        names(df) <- c("t (time)","Function f(t)")
                                        library(xtable)
                                        print(xtable(df,align=rep("c",3)), include.rownames=F,floating=F, booktabs=T)
                                        @
                                        end{minipage}
                                        caption{My function $f(t)=4(t-1)e^{-0.5t}+8$}
                                        end{figure}
                                        end{document}





                                        share|improve this answer














                                        If you know R, then knitr is a simple option:



                                        mwe



                                        documentclass{article}
                                        begin{document}
                                        <<echo=F,dev="tikz",fig.cap="My function $f(t)=4(t-1)e^{-0.5t}+8$", fig.width=5, fig.height=5, out.width = "\linewidth">>=
                                        t <- seq(0,10,.1)
                                        y <- 4*(t-1)*exp(-0.5*t)+8
                                        plot(t,y,type='l',col='navy', lwd=3,ylab="f(t)",las=1,frame.plot = F, cex.lab=1.2)
                                        @
                                        end{document}


                                        R could also produce the table easily, but place it beside the figure need some tuning of R and LaTeX code:



                                        MWE



                                        documentclass{article}
                                        usepackage{booktabs}
                                        begin{document}
                                        begin{figure}
                                        <<xxx, echo=F,dev="tikz", fig.show='hide', fig.width=3, fig.height=3, out.width = "3in", out.height="3in">>=
                                        t <- seq(0,10,.1)
                                        y <- 4*(t-1)*exp(-0.5*t)+8
                                        par(mar=c(4.5,4.5,0.5,0))
                                        plot(t,y,type='l',col='navy', lwd=3,ylab="f(t)",las=1,frame.plot = F, cex.lab=1.2)
                                        @
                                        begin{minipage}[t]{3in}vspace{0pt}
                                        includegraphics{figure/xxx-1}
                                        end{minipage}hfill%
                                        begin{minipage}[t]{.2linewidth}smallskip
                                        <<echo=F,results='asis'>>=
                                        x <- seq(0,10)
                                        y <- 4*(x-1)*exp(-0.5*x)+8
                                        df <- data.frame(t=x,f=y)
                                        names(df) <- c("t (time)","Function f(t)")
                                        library(xtable)
                                        print(xtable(df,align=rep("c",3)), include.rownames=F,floating=F, booktabs=T)
                                        @
                                        end{minipage}
                                        caption{My function $f(t)=4(t-1)e^{-0.5t}+8$}
                                        end{figure}
                                        end{document}






                                        share|improve this answer














                                        share|improve this answer



                                        share|improve this answer








                                        edited Nov 28 '18 at 2:54

























                                        answered Nov 27 '18 at 23:58









                                        Fran

                                        51.5k6112175




                                        51.5k6112175























                                            2














                                            Quick and dirty attempt with MetaPost, included in a LuaLaTeX program.



                                            Edit: Asymptote added.



                                            RequirePackage{luatex85}
                                            documentclass[border=2mm]{standalone}
                                            usepackage{luamplib}
                                            mplibsetformat{metafun}
                                            mplibtextextlabel{enable}
                                            mplibnumbersystem{double}
                                            begin{document}
                                            begin{mplibcode}
                                            u := cm; v = .75cm;
                                            vardef f(expr t) = 4(t-1)*exp(-.5t) + 8 enddef;
                                            tmax = 10.5; tstep = .1; ymin = 0; ymax = 10.5;
                                            path curve;
                                            curve = (0, f(0))
                                            for t = tstep step tstep until tmax+.5tstep:
                                            .. (t, f(t))
                                            endfor;
                                            beginfig(1);
                                            draw curve xyscaled (u, v) withcolor red;
                                            draw (0, 8v) -- (tmax*u, 8v) withcolor red dashed evenly;
                                            drawarrow origin -- (tmax*u, 0);
                                            drawarrow (0, ymin*v) -- (0, ymax*v);
                                            for i = 0 upto floor(tmax):
                                            if i<>0:
                                            draw (i*u, -2bp) -- (i*u, 2bp);
                                            label.bot("$" & decimal i & "$", (i*u, 0)); fi
                                            endfor;
                                            for j = ceiling(ymin) upto floor(ymax):
                                            if j<>0:
                                            draw (2bp, j*v) -- (-2bp, j*v);
                                            label.lft("$" & decimal j & "$", (0, j*v)); fi
                                            endfor;
                                            label.llft("$O$", origin); label.bot("$t$", (tmax*u, 0)); label.lft("$y$", (0, ymax*v));
                                            endfig;
                                            end{mplibcode}
                                            end{document}


                                            enter image description here






                                            share|improve this answer




























                                              2














                                              Quick and dirty attempt with MetaPost, included in a LuaLaTeX program.



                                              Edit: Asymptote added.



                                              RequirePackage{luatex85}
                                              documentclass[border=2mm]{standalone}
                                              usepackage{luamplib}
                                              mplibsetformat{metafun}
                                              mplibtextextlabel{enable}
                                              mplibnumbersystem{double}
                                              begin{document}
                                              begin{mplibcode}
                                              u := cm; v = .75cm;
                                              vardef f(expr t) = 4(t-1)*exp(-.5t) + 8 enddef;
                                              tmax = 10.5; tstep = .1; ymin = 0; ymax = 10.5;
                                              path curve;
                                              curve = (0, f(0))
                                              for t = tstep step tstep until tmax+.5tstep:
                                              .. (t, f(t))
                                              endfor;
                                              beginfig(1);
                                              draw curve xyscaled (u, v) withcolor red;
                                              draw (0, 8v) -- (tmax*u, 8v) withcolor red dashed evenly;
                                              drawarrow origin -- (tmax*u, 0);
                                              drawarrow (0, ymin*v) -- (0, ymax*v);
                                              for i = 0 upto floor(tmax):
                                              if i<>0:
                                              draw (i*u, -2bp) -- (i*u, 2bp);
                                              label.bot("$" & decimal i & "$", (i*u, 0)); fi
                                              endfor;
                                              for j = ceiling(ymin) upto floor(ymax):
                                              if j<>0:
                                              draw (2bp, j*v) -- (-2bp, j*v);
                                              label.lft("$" & decimal j & "$", (0, j*v)); fi
                                              endfor;
                                              label.llft("$O$", origin); label.bot("$t$", (tmax*u, 0)); label.lft("$y$", (0, ymax*v));
                                              endfig;
                                              end{mplibcode}
                                              end{document}


                                              enter image description here






                                              share|improve this answer


























                                                2












                                                2








                                                2






                                                Quick and dirty attempt with MetaPost, included in a LuaLaTeX program.



                                                Edit: Asymptote added.



                                                RequirePackage{luatex85}
                                                documentclass[border=2mm]{standalone}
                                                usepackage{luamplib}
                                                mplibsetformat{metafun}
                                                mplibtextextlabel{enable}
                                                mplibnumbersystem{double}
                                                begin{document}
                                                begin{mplibcode}
                                                u := cm; v = .75cm;
                                                vardef f(expr t) = 4(t-1)*exp(-.5t) + 8 enddef;
                                                tmax = 10.5; tstep = .1; ymin = 0; ymax = 10.5;
                                                path curve;
                                                curve = (0, f(0))
                                                for t = tstep step tstep until tmax+.5tstep:
                                                .. (t, f(t))
                                                endfor;
                                                beginfig(1);
                                                draw curve xyscaled (u, v) withcolor red;
                                                draw (0, 8v) -- (tmax*u, 8v) withcolor red dashed evenly;
                                                drawarrow origin -- (tmax*u, 0);
                                                drawarrow (0, ymin*v) -- (0, ymax*v);
                                                for i = 0 upto floor(tmax):
                                                if i<>0:
                                                draw (i*u, -2bp) -- (i*u, 2bp);
                                                label.bot("$" & decimal i & "$", (i*u, 0)); fi
                                                endfor;
                                                for j = ceiling(ymin) upto floor(ymax):
                                                if j<>0:
                                                draw (2bp, j*v) -- (-2bp, j*v);
                                                label.lft("$" & decimal j & "$", (0, j*v)); fi
                                                endfor;
                                                label.llft("$O$", origin); label.bot("$t$", (tmax*u, 0)); label.lft("$y$", (0, ymax*v));
                                                endfig;
                                                end{mplibcode}
                                                end{document}


                                                enter image description here






                                                share|improve this answer














                                                Quick and dirty attempt with MetaPost, included in a LuaLaTeX program.



                                                Edit: Asymptote added.



                                                RequirePackage{luatex85}
                                                documentclass[border=2mm]{standalone}
                                                usepackage{luamplib}
                                                mplibsetformat{metafun}
                                                mplibtextextlabel{enable}
                                                mplibnumbersystem{double}
                                                begin{document}
                                                begin{mplibcode}
                                                u := cm; v = .75cm;
                                                vardef f(expr t) = 4(t-1)*exp(-.5t) + 8 enddef;
                                                tmax = 10.5; tstep = .1; ymin = 0; ymax = 10.5;
                                                path curve;
                                                curve = (0, f(0))
                                                for t = tstep step tstep until tmax+.5tstep:
                                                .. (t, f(t))
                                                endfor;
                                                beginfig(1);
                                                draw curve xyscaled (u, v) withcolor red;
                                                draw (0, 8v) -- (tmax*u, 8v) withcolor red dashed evenly;
                                                drawarrow origin -- (tmax*u, 0);
                                                drawarrow (0, ymin*v) -- (0, ymax*v);
                                                for i = 0 upto floor(tmax):
                                                if i<>0:
                                                draw (i*u, -2bp) -- (i*u, 2bp);
                                                label.bot("$" & decimal i & "$", (i*u, 0)); fi
                                                endfor;
                                                for j = ceiling(ymin) upto floor(ymax):
                                                if j<>0:
                                                draw (2bp, j*v) -- (-2bp, j*v);
                                                label.lft("$" & decimal j & "$", (0, j*v)); fi
                                                endfor;
                                                label.llft("$O$", origin); label.bot("$t$", (tmax*u, 0)); label.lft("$y$", (0, ymax*v));
                                                endfig;
                                                end{mplibcode}
                                                end{document}


                                                enter image description here







                                                share|improve this answer














                                                share|improve this answer



                                                share|improve this answer








                                                edited Nov 28 '18 at 12:33

























                                                answered Nov 27 '18 at 20:14









                                                Franck Pastor

                                                15.6k13559




                                                15.6k13559






























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