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{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {SECT 1 {PARA 4 "" 0 "" {TEXT -1 6 "Resen\355" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "rov:= (x^2)/9 + (y^2)/4 = 1;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "solve(rov, y);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "f:= %[1];" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "g:= x * f;\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 48 "plot( g, x = 0 .. 3, title=`Funkce pro maximum`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "gx:= diff( g, x);\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "nulder:= solve(gx = 0, x);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "xres:= nulder[1];" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "evalf(xres);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "obsah:= subs(x = xres, g);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "obsah:=simplify(%);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "evalf(subs(x=2, gx));\nevalf(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(gx<0);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "solve(gx>0,x);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 57 "\"Zleva\" rostouc\355 , \"zprava\" klesaj\355c\355 => lokaln\355 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 -1 24 "Grafick\351 zobrazen\355 \+ \372lohy" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots):" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 82 "plot([3*sin(t), 2* cos(t), \+ t=-Pi..Pi], scaling=CONSTRAINED,\nthickness=2);\npel:=%:\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "fce:=unapply(f,x);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 270 "obdel:=\nproc(xx) local yy: #nak resl\355 obd\351ln\355k vepsan\375 elipse\n yy:=fce(xx):\n PLOT( POLYGONS(evalf([[xx,yy],[-xx,yy],[-xx,-yy],[xx,-yy]]), \+ \+ COLOR(RGB,.7,.9,.65))): \nend:\n" }}}{EXCHG {PARA 0 "" 0 " " {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 144 "poc:=7: \+ #nakresl\355 elipsu a obd\351ln\355ky\nkus:=3/(poc +1):\nfor i from 1 to poc do\n p[i]:=display(\{pel,obdel(eval(i*kus) )\}):\nod:\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "p[poc+1]:=d isplay(\{pel,obdel(2.99)\}):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "p[7];" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "ukaz:= conver t(p,list): " }}}{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 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),insequ 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