y2=x2(x+1)-001.ps

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1 gnuplot gnuplot y = x +x y = sinx.8 sin(x) x*x*x+*x*x gnuplot y = cosx gnuplot> set xrange[-.:.] gnuplot> plot x**+*x** gnuolot> reset gnuplot> plot sin(x).8.6. cos(x) y = x x x**-x** gnuplot> reset gnuplot> plot cos(x) gnuplot> set xrange[-.:.] gnuplot> plot x**-x** gnuplot> reset

2 tan(x) gnuplot> plot tan(x) - y = tan(x) - x y ( ) tan(x) gnuplot> set samples 7 gnuplot> plot tan(x) - y y tan(x) gnuplot> set yrange[-:] gnuplot> plot tan(x)

3 cos(t), sin(t) x = acost, y = asint x +y = a (a = ) gnuplot> set size square dummy variable is t for curves, u/v for surfaces gnuplot> plot cos(t), sin(t) cos(t),.*sin(t) x = acost, y = bsint. x a + y b = a =, b =. gnuplot> set size square gnuplot> set xrange[-:] gnuplot> set yrange[-:] dummy variable is t for curves, u/v for surfaces gnuplot> plot cos(t),.*sin(t)

4 x = a cost, y = btant /cos(t), tan(t) x a y - b = a =, b = gnuplot> set size square gnuplot> set xrange[-:] gnuplot> set yrange[-:] dummy variable is t for curves, u/v for surfaces gnuplot> plot /cos(t), tan(t) sin(*t), sin(*t) x = sinat, y = sinbt.8.6 a =, b = gnuplot> reset gnuplot> set size square dummy variable is t for curves, u/v for surfaces gnuplot> plot sin(*t), sin(*t)

5 r = at (t ) a = x = tcost, y = tsint - t*cos(t), t*sin(t) gnuplot> reset gnuplot> set size square gnuplot> set xrange[-*pi:*pi] gnuplot> set yrange[-*pi:*pi] dummy variable is t for curves, u/v for surfaces gnuplot> plot [: *pi] t*cos(t), t*sin(t) z = x a + y b x**+*y** a =, b = / gnulot> splot x**+*y**

6 z = x a y b x**-*y** a =, b = / gnulot> splot x**-*y** x = sin(u)cos(v) y = sin(u)sin(v) z = cos(u) gnuplot> reset gnuplot> set view equal xyz gnuplot> set ticslevel gnuplot> set isosamples gnuplot> set hiddend sin(u)*cos(v), sin(u)*sin(v), cos(u) dummy variable is t for curves, u/v for surfaces gnuplot> splot sin(u)*cos(v), sin(u)*sin(v), cos(u) 6

7 x = acos(u)(d+cos(v)) y = bsin(u)(d+cos(v)) z = csin(v) a = b = c =, d =. gnuplot> splot cos(u)*(.+cos(v)), sin(u)*(.+cos(v)), sin(v) cos(u)*(.+cos(v)), sin(u)*(.+cos(v)), sin(v) gnuplot> set isosamples gnuplot> replot cos(u)*(.+cos(v)), sin(u)*(.+cos(v)), sin(v) gnuplot> set hiddend gnuplot> replot cos(u)*(.+cos(v)), sin(u)*(.+cos(v)), sin(v)

8 6 - ( ) ( ) plt wgnuplot.exe File Open plt 6. sine.plt sine.plt reset set terminal postscript set output "sine.ps" set size,. set size ratio - set xzeroaxis set yzeroaxis set xtics ("-p" -pi, "-p/" -pi/,""., "p/" pi/,"p" pi) font "Symbol" set ytics -,., set xrange[-pi:pi] plot sin(x). sin(x) -. - / / ( ) 8

9 () reset () set terminal postscript () set output sine.ps ( ) sine.ps () set size,. x y. () set size ratio - x y (6) set xzeroaxis x (7) set yzeroaxis y (8) set xtics ( -p -pi, -p/ -pi/,., p/ pi/, p pi) font Symbol pi ( ) { -p -pi } -pi. Symbol (9) set ytics -,., y. () set xrange[-pi:pi] x () plot sin(x) y = sin(x) 9

10 6. y = x (x + ) + c y = x (x+)+c.,,.... y =x (x+)+. y =x (x+) y =x (x+) : y = x (x+)+c c =.,,. c = c = ±. y=f(x).plt reset set terminal postscript portrait set output "y=x(x+).ps" set nokey set size square set xrange[-.:.] set yrange[-.:.] set samples # c=. set label "y^=x^(x+)" at -,. font Times Roman-Italic, plot sqrt(x***(x+)+c), -sqrt(x***(x+)+c) w l ls - sqrt(x***(x+)+c), -sqrt(x***(x+)+c) w l ls - () x x** x x^ () plot y = x (x+)+c y = x (x+)+c w l ls - with line linestyle - ls -

11 7 L A TEX x / LA TEX L A TEX (math mode) ${ frac{ pi}{}}$ LA TEX.. plt costex.plt reset set terminal latex set nokey set output "costex.tex" set size ratio - set xtics ("${-\\pi}$" -pi, "${-\\frac{\\pi}{}}$" -pi/, "$$"., \ "${ \\frac{\\pi}{}}$" pi/, "${\\pi}$" pi) set ytics -,., set xzeroaxis set yzeroaxis set xrange [-pi:pi] set yrange [-:] plot cos(x) () \ () \( )

12 LA TEX ${ displaystyle frac{ pi}{}}$.. plt costex.plt reset set terminal latex set nokey set output "costex.tex" set size ratio - set xtics ("\\lowerex\\hbox{${-\\pi}$}" -pi, \ "\\lower6ex\\hbox{${\\displaystyle -\\frac{\\pi}{}}$}" -pi/, \ "\\lowerex\\hbox{$$}"., \ "\\lower6ex\\hbox{${\\displaystyle \\frac{\\pi}{}}$}" pi/, \ "\\lowerex\\hbox{${\\pi}$}" pi) set ytics -,., set xzeroaxis set yzeroaxis set xrange [-pi:pi] set yrange [-:] plot cos(x)

gnuplot gnuplot 1 3 y = x 3 + 3x 2 2 y = sin x sin(x) xxx+3xx

gnuplot gnuplot 1 3 y = x 3 + 3x 2 2 y = sin x sin(x) x*x*x+3*x*x gnuplot gnuplot y = x + x y = sin x.8 sin(x) 8 7 6 x*x*x+*x*x.6.. -. -. -.6 -.8 - - - - - - - -. - -. - -.. gnuplot gnuplot> set xrange[-.:.] gnuplot> plot x**+*x** y = x x gnuolot> reset gnuplot> plot