Tickhändelse: "T" to "T" plus StartFraction, Over 1000 , EndFraction , "t" Subscript, 1 , Baseline to "t" Subscript, 1 , Baseline plus StartFraction, 1 Over 1000 , EndFractionT→T+dt1000,t1→t1+11000
every
00
Minsta tidssteg:
ms
Gömd Etikett: left parenthesis, "b" Subscript, 1 , Baseline , "b" Subscript, 2 , Baseline , right parenthesisb1,b2
Etikett
equals=
left parenthesis, 1.9 4 , 1.9 2 , right parenthesis1.94,1.92
26
Uttryck 27:
27
Uttryck 28: random left parenthesis, 1 , 1 , right parenthesis left bracket, 1 , right bracketrandom1,11
equals=
0.1 1 8 9 1 5 6 2 0 2 6 80.118915620268
28
Uttryck 29: random left parenthesis, 1 , 1 , right parenthesis left bracket, 1 , right bracketrandom1,11
equals=
0.4 9 6 2 4 3 0 4 2 9 20.49624304292
29
Uttryck 30:
30
Uttryck 31:
31
Uttryck 32: "S" Subscript, "p" "a" "r" "k" 1 prime , Baseline left parenthesis, "t" Subscript, 0 , Baseline , "x" , "y" , right parenthesis equals left parenthesis, tan left parenthesis, StartFraction, 2 pi Over 100 , EndFraction times left bracket, 0...1 9 9 , right bracket , right parenthesis , right parenthesis "x" minus "y" left brace, max left parenthesis, 0 , left parenthesis, "S" Subscript, "r" , Baseline left parenthesis, "t" Subscript, 0 , Baseline , right parenthesis minus 1 , right parenthesis squared , right parenthesis less than or equal to "x" squared plus "y" squared less than or equal to left parenthesis, "S" Subscript, "r" , Baseline left parenthesis, "t" Subscript, 0 , Baseline , right parenthesis , right parenthesis squared , right brace left brace, 0 less than or equal to "S" Subscript, "r" , Baseline left parenthesis, "t" Subscript, 0 , Baseline , right parenthesis less than or equal to 3 , right braceSpark1′t0,x,y=tan2π100·0...199x−ymax0,Srt0−12≤x2+y2≤Srt020≤Srt0≤3
32
Uttryck 33: "S" Subscript, "p" "a" "r" "k" 1 prime , Baseline left parenthesis, 5 plus left parenthesis, "s" Subscript, "e" "c" "o" "n" "d" , Baseline minus 5 , right parenthesis random left parenthesis, 200 , "S" Subscript, "e" "e" "d" , Baseline , right parenthesis , "x" , "y" , right parenthesis equals 0 left brace, "x" less than 0 , right braceSpark1′5+second−5random200,Seed,x,y=0x<0
33
Uttryck 34: "S" Subscript, "p" "a" "r" "k" 1 prime , Baseline left parenthesis, 5 plus left parenthesis, "s" Subscript, "e" "c" "o" "n" "d" , Baseline minus 5 , right parenthesis random left parenthesis, 200 , "S" Subscript, "e" "e" "d" , Baseline , right parenthesis , "x" , "y" , right parenthesis equals 0 left brace, "x" greater than or equal to 0 , right braceSpark1′5+second−5random200,Seed,x,y=0x≥0
34
Uttryck 35:
35
Uttryck 36:
36
以下 実装
37
Uttryck 38: "S" Subscript, "r" , Baseline left parenthesis, "t" Subscript, 0 , Baseline , right parenthesis equals 10 left parenthesis, "T" minus "t" Subscript, 0 , Baseline , right parenthesisSrt0=10T−t0
38
Uttryck 39: "D" equals StartFraction, 2 pi Over 100 , EndFraction times left bracket, 0...1 9 9 , right bracketD=2π100·0...199
equals=
00
0.0 6 2 8 3 1 8 5 3 0 7 1 80.0628318530718
0.1 2 5 6 6 3 7 0 6 1 4 40.125663706144
0.1 8 8 4 9 5 5 5 9 2 1 50.188495559215
0.2 5 1 3 2 7 4 1 2 2 8 70.251327412287
0.3 1 4 1 5 9 2 6 5 3 5 90.314159265359
0.3 7 6 9 9 1 1 1 8 4 3 10.376991118431
0.4 3 9 8 2 2 9 7 1 5 0 30.439822971503
0.5 0 2 6 5 4 8 2 4 5 7 40.502654824574
0.5 6 5 4 8 6 6 7 7 6 4 60.565486677646
0.6 2 8 3 1 8 5 3 0 7 1 80.628318530718
0.6 9 1 1 5 0 3 8 3 7 90.69115038379
0.7 5 3 9 8 2 2 3 6 8 6 20.753982236862
0.8 1 6 8 1 4 0 8 9 9 3 30.816814089933
0.8 7 9 6 4 5 9 4 3 0 0 50.879645943005
Lista med 200 element
39
Uttryck 40: "S" Subscript, "p" "a" "r" "k" 1 , Baseline left parenthesis, "t" Subscript, 0 , Baseline , "t" , right parenthesis equals "S" Subscript, "r" , Baseline left parenthesis, "t" Subscript, 0 , Baseline , right parenthesis left parenthesis, cos "D" , sin "D" , right parenthesis plus left parenthesis, negative cos "D" , negative sin "D" , right parenthesis "t" left brace, 0 less than or equal to "t" less than or equal to min left parenthesis, "S" Subscript, "r" , Baseline left parenthesis, "t" Subscript, 0 , Baseline , right parenthesis , 1 , right parenthesis , right brace left brace, 0 less than or equal to "S" Subscript, "r" , Baseline left parenthesis, "t" Subscript, 0 , Baseline , right parenthesis less than or equal to 3 , right braceSpark1t0,t=Srt0cosD,sinD+−cosD,−sinDt0≤t≤minSrt0,10≤Srt0≤3
40
Uttryck 41: "S" Subscript, "p" "a" "r" "k" 1 , Baseline left parenthesis, 5 plus left parenthesis, "s" Subscript, "e" "c" "o" "n" "d" , Baseline minus 5 , right parenthesis random left parenthesis, 200 , "S" Subscript, "e" "e" "d" , Baseline , right parenthesis , "t" , right parenthesisSpark15+second−5random200,Seed,t
00
domän t minimum:
less than or equal to "t" less than or equal to≤t≤
11
domän t maximum:
41
Uttryck 42:
42
Uttryck 43: "S" Subscript, "p" "a" "r" "k" 2 , Baseline left parenthesis, "X" , "Y" , "t" Subscript, 0 , Baseline , "t" , right parenthesis equals left parenthesis, sin left parenthesis, 9 "t" , right parenthesis cos "t" plus "X" , sin left parenthesis, 9 "t" , right parenthesis sin "t" plus "Y" , right parenthesis left brace, 0 less than or equal to "T" minus "t" Subscript, 0 , Baseline less than 0.1 , right braceSpark2X,Y,t0,t=sin9tcost+X,sin9tsint+Y0≤T−t0<0.1
43
Uttryck 44: "S" Subscript, "p" "a" "r" "k" 2 , Baseline left parenthesis, negative 2 plus 4random left parenthesis, 50 , right parenthesis , negative 2 plus 4random left parenthesis, 50 , right parenthesis , 5 plus left parenthesis, "s" Subscript, "e" "c" "o" "n" "d" , Baseline minus 10 , right parenthesis random left parenthesis, 50 , right parenthesis , "t" , right parenthesisSpark2−2+4random50,−2+4random50,5+second−10random50,t
00
domän t minimum:
less than or equal to "t" less than or equal to≤t≤
domän t maximum: 2 pi2π
44
玉
Göm denna mapp från elever.
45
Uttryck 53:
53
Uttryck 54:
54
色
Göm denna mapp från elever.
55
60
driven av
driven av
"x"x
"y"y
"a" squareda2
"a" Superscript, "b" , Baselineab
77
88
99
over÷
funktioner
((
))
less than<
greater than>
44
55
66
times×
| "a" ||a|
,,
less than or equal to≤
greater than or equal to≥
11
22
33
negative−
A B C
StartRoot, , EndRoot
piπ
00
..
equals=
positive+
eller
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Exempel
Linjer: Linjära funktioner
exempel
Linjer: Enpunktsformeln
exempel
Linjer: Tvåpunktsformeln
exempel
Parabler: Standardform
exempel
Parabler: Vertexform
exempel
Parabler: Standardform och tangens
exempel
Trigonometri: Våglängd och amplitud
exempel
Trigonometri: Fas
exempel
Trigonometri: Interferens
exempel
Trigonometri: Enhetscirkeln
exempel
Kägelsnitt: Cirkel
exempel
Kägelsnitt: Parabel och fokus
exempel
Kägelsnitt: Ellips med fokus
exempel
Kägelsnitt: Hyperbel
exempel
Polära ekvationer: Ros
exempel
Polära ekvationer: Logaritmisk spiral
exempel
Polära ekvationer: Limacon
exempel
Polära ekvationer: Kägelsnitt
exempel
Parameterform: Introduktion
exempel
Parameterform: Cykloid
exempel
Transformation: Avbildning av en funktion
exempel
Transformation: Förändra skalan på en funktion
exempel
Transformation: Invers av en funktion
exempel
Statistik: Linjär regression
exempel
Statistik: Anscombs kvartett
exempel
Statistik: Polynom av 4:e grad
exempel
Listor: Sinuskurvor
exempel
Listor: Stickandet av kurvor
exempel
Listor: Rita en graf från en lista med punkter
exempel
Infinitesimalkalkyl: Derivata
exempel
Infinitesimalkalkyl: Sekantlinje
exempel
Infinitesimalkalkyl: Tangentlinje
exempel
Infinitesimalkalkyl: Taylorutveckling av sin(x)
exempel
Infinitesimalkalkyl: Integraler
exempel
Infinitesimalkalkyl: Integraler med justerbara gränser