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subs(x = xres, g);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "obsah:=simplify(%);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "evalf(subs(x=2, gx));\n" } {MPLTEXT 1 0 24 "evalf(subs(x=2.2, gx));\n" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 16 "plot(gx,x=1..3);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "solve(g x<0);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "solve(gx>0,x);" }} }{EXCHG {PARA 0 "" 0 "" {TEXT 212 57 "\"Zleva\" rostouci , \"zprava\" \+ klesajici => lokalni maximum." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "gxx:= diff(gx, x);\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "subs(x = xres, gxx);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "yres:= subs(x=xres, f); \n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "pomer:= simplify(xres /yres);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "celobsah:= 4*obsah;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT 213 24 "Graficke zobrazeni ulohy" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 60 "plo t([3*sin(t), 2* cos(t), t=-Pi..Pi], scaling=CONSTRAINED,\n" }{MPLTEXT 1 0 14 "thickness=2);\n" }{MPLTEXT 1 0 8 "pel:=%:\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "fce:=unapply(f,x);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "obdel:=\n" }{MPLTEXT 1 0 55 "proc(xx) local yy: \+ #nakresli obdelnik vepsany elipse\n" }{MPLTEXT 1 0 17 " yy:=fce(x x):\n" }{MPLTEXT 1 0 185 " PLOT(POLYGONS(evalf([[xx,yy],[-xx,yy],[- xx,-yy],[xx,-yy]]), \+ COLOR(RGB,.7,.9,.65))): \+ \n" }{MPLTEXT 1 0 5 "end:\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 212 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "poc:=7: \+ #nakresli elipsu a obdelniky\n" }{MPLTEXT 1 0 16 "kus:=3/(poc+1):\n " }{MPLTEXT 1 0 23 "for i from 1 to poc do\n" }{MPLTEXT 1 0 44 " p[i ]:=display(\{pel,obdel(eval(i*kus))\}):\n" }{MPLTEXT 1 0 4 "od:\n" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "p[poc+1]:=display(\{pel,obde l(2.99)\}):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "p[7];" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "ukaz:= convert(p,list): \+ " }}}{EXCHG {PARA 0 "" 0 "" {TEXT 207 14 "display(ukaz);" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "i:='i':\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "display(op(ukaz),insequence=true);" }}} {EXCHG {PARA 0 "" 0 "" {TEXT 207 49 "display(\{seq(p[i], i=1..poc+1)\} ,insequence=true);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "displ ay(\{pel,obdel(xres)\});\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}} {MARK "0 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }