Tickhändelse: "h" to "h" plus sgn left parenthesis, "f" Subscript, "x" , Baseline left parenthesis, "h" , "k" , right parenthesis , right parenthesis "d" cosine left parenthesis, arctan left parenthesis, StartFraction, "f" Subscript, "y" , Baseline left parenthesis, "h" , "k" , right parenthesis Over "f" Subscript, "x" , Baseline left parenthesis, "h" , "k" , right parenthesis , EndFraction , right parenthesis plus 90 , right parenthesis , "k" to "k" plus sgn left parenthesis, "f" Subscript, "x" , Baseline left parenthesis, "h" , "k" , right parenthesis , right parenthesis "d" sine left parenthesis, arctan left parenthesis, StartFraction, "f" Subscript, "y" , Baseline left parenthesis, "h" , "k" , right parenthesis Over "f" Subscript, "x" , Baseline left parenthesis, "h" , "k" , right parenthesis , EndFraction , right parenthesis plus 90 , right parenthesis , "H" to join left parenthesis, "H" , "h" , right parenthesis left brace, floor left parenthesis, StartFraction, "t" Over "r" , EndFraction , right parenthesis equals StartFraction, "t" Over "r" , EndFraction , right brace , "K" to join left parenthesis, "K" , "k" , right parenthesis left brace, floor left parenthesis, StartFraction, "t" Over "r" , EndFraction , right parenthesis equals StartFraction, "t" Over "r" , EndFraction , right brace , "t" to "t" plus 1h→h+sgnfxh,kdcosarctanfyh,kfxh,k+90,k→k+sgnfxh,kdsinarctanfyh,kfxh,k+90,H→joinH,hfloortr=tr,K→joinK,kfloortr=tr,t→t+1
every
00
Minsta tidssteg:
ms
Uttryck 22: StartRoot, "f" Subscript, "x" , Baseline left parenthesis, "x" , "y" , right parenthesis squared plus "f" Subscript, "y" , Baseline left parenthesis, "x" , "y" , right parenthesis squared , EndRoot equals "I"fxx,y2+fyx,y2=I
22
Uttryck 23: left parenthesis, "H" , "K" , right parenthesisH,K
23
Uttryck 24: "I" equals left bracket, 0 , "l" ...2 0 "l" , right bracketI=0,l...20l
24
Uttryck 25: left parenthesis, negative StartFraction, "a" Over 2 , EndFraction , 0 , right parenthesis−a2,0
25
Uttryck 26: left parenthesis, StartFraction, "a" Over 2 , EndFraction , 0 , right parenthesisa2,0
26
Uttryck 27: "G" equals 6.6 7 4 3 0 1 5 times 10 to the negative 11th powerG=6.6743015·10−11
27
Uttryck 28: "M" Subscript, "E" , Baseline equals 5.9 7 2 times 10 to the 24th powerME=5.972·1024
28
Uttryck 29: left parenthesis, "m" , "n" , right parenthesism,n
29
Uttryck 30: "m" equals 3100000m=3100000
30
Uttryck 31: "n" equals 450000n=450000
31
Uttryck 32: "y" equals "n" left brace, sgn left parenthesis, "f" Subscript, "x" , Baseline left parenthesis, "m" , "n" , right parenthesis , right parenthesis "x" greater than sgn left parenthesis, "f" Subscript, "x" , Baseline left parenthesis, "m" , "n" , right parenthesis , right parenthesis "m" , right brace left brace, sgn left parenthesis, "f" Subscript, "x" , Baseline left parenthesis, "m" , "n" , right parenthesis , right parenthesis "x" less than sgn left parenthesis, "f" Subscript, "x" , Baseline left parenthesis, "m" , "n" , right parenthesis , right parenthesis left parenthesis, "m" plus 10 to the 5th power "f" Subscript, "x" , Baseline left parenthesis, "m" , "n" , right parenthesis , right parenthesis , right bracey=nsgnfxm,nx>sgnfxm,nmsgnfxm,nx<sgnfxm,nm+105fxm,n
32
Uttryck 33: "x" equals "m" left brace, sgn left parenthesis, "f" Subscript, "y" , Baseline left parenthesis, "m" , "n" , right parenthesis , right parenthesis "y" greater than sgn left parenthesis, "f" Subscript, "y" , Baseline left parenthesis, "m" , "n" , right parenthesis , right parenthesis "n" , right brace left brace, sgn left parenthesis, "f" Subscript, "y" , Baseline left parenthesis, "m" , "n" , right parenthesis , right parenthesis "y" less than sgn left parenthesis, "f" Subscript, "y" , Baseline left parenthesis, "m" , "n" , right parenthesis , right parenthesis left parenthesis, "n" plus 10 to the 5th power "f" Subscript, "y" , Baseline left parenthesis, "m" , "n" , right parenthesis , right parenthesis , right bracex=msgnfym,ny>sgnfym,nnsgnfym,ny<sgnfym,nn+105fym,n
33
Uttryck 34: "f" left parenthesis, "x" , right parenthesis equals sort left parenthesis, unique left parenthesis, left parenthesis, StartFraction, sgn left parenthesis, "x" , right parenthesis plus 1 Over 2 , EndFraction , right parenthesis left parenthesis, "x" , right parenthesis , right parenthesis , right parenthesisfx=sortuniquesgnx+12x
34
Uttryck 35: Start sum from "n" equals 2 to count left parenthesis, "f" left parenthesis, "H" , right parenthesis , right parenthesis , end sum, left parenthesis, "f" left parenthesis, "H" , right parenthesis left bracket, "n" , right bracket minus "f" left parenthesis, "H" , right parenthesis left bracket, "n" minus 1 , right bracket , right parenthesis "f" left parenthesis, "H" , right parenthesis left bracket, "n" , right bracketcountfH∑n=2fHn−fHn−1fHn
35
Uttryck 36:
36
Uttryck 37:
37
Uttryck 38:
38
Uttryck 39:
39
Uttryck 40:
40
Uttryck 41:
41
Uttryck 42:
42
Uttryck 43:
43
Uttryck 44:
44
45
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
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Linjer: Enpunktsformeln
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Linjer: Tvåpunktsformeln
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Parabler: Standardform
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Parabler: Vertexform
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Parabler: Standardform och tangens
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Trigonometri: Våglängd och amplitud
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Trigonometri: Fas
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Trigonometri: Interferens
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Trigonometri: Enhetscirkeln
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Kägelsnitt: Cirkel
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Kägelsnitt: Parabel och fokus
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Polära ekvationer: Ros
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Polära ekvationer: Logaritmisk spiral
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Polära ekvationer: Limacon
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Polära ekvationer: Kägelsnitt
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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
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Statistik: Polynom av 4:e grad
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Listor: Sinuskurvor
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Listor: Stickandet av kurvor
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Listor: Rita en graf från en lista med punkter
exempel
Infinitesimalkalkyl: Derivata
exempel
Infinitesimalkalkyl: Sekantlinje
exempel
Infinitesimalkalkyl: Tangentlinje
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Infinitesimalkalkyl: Taylorutveckling av sin(x)
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Infinitesimalkalkyl: Integraler
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Infinitesimalkalkyl: Integraler med justerbara gränser