Uttryck 24: "y" Subscript, "p" 2 , Baseline left parenthesis, "t" , right parenthesis equals "x" Subscript, "y" , Baseline "X" left parenthesis, StartFraction, 2 pi Over "n" , EndFraction floor left parenthesis, "t" , right parenthesis , 2 pi mod left parenthesis, "t" , 1 , right parenthesis , right parenthesis plus "y" Subscript, "y" , Baseline "Y" left parenthesis, StartFraction, 2 pi Over "n" , EndFraction floor left parenthesis, "t" , right parenthesis , 2 pi mod left parenthesis, "t" , 1 , right parenthesis , right parenthesis plus "z" Subscript, "y" , Baseline "Z" left parenthesis, StartFraction, 2 pi Over "n" , EndFraction floor left parenthesis, "t" , right parenthesis , 2 pi mod left parenthesis, "t" , 1 , right parenthesis , right parenthesisyp2t=xyX2πnfloort,2πmodt,1+yyY2πnfloort,2πmodt,1+zyZ2πnfloort,2πmodt,1
24
Uttryck 25: "x" Subscript, "p" 3 , Baseline left parenthesis, "t" , right parenthesis equals "x" Subscript, "x" , Baseline "X" Subscript, 2 , Baseline left parenthesis, 2 pi mod left parenthesis, "t" , 1 , right parenthesis , StartFraction, 2 pi Over "n" Subscript, 1 , Baseline , EndFraction floor left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "x" , Baseline "Y" Subscript, 2 , Baseline left parenthesis, 2 pi mod left parenthesis, "t" , 1 , right parenthesis , StartFraction, 2 pi Over "n" Subscript, 1 , Baseline , EndFraction floor left parenthesis, "t" , right parenthesis , right parenthesis plus "z" Subscript, "x" , Baseline "Z" Subscript, 2 , Baseline left parenthesis, 2 pi mod left parenthesis, "t" , 1 , right parenthesis , StartFraction, 2 pi Over "n" Subscript, 1 , Baseline , EndFraction floor left parenthesis, "t" , right parenthesis , right parenthesis left brace, "t" less than or equal to "n" Subscript, 1 , Baseline , right bracexp3t=xxX22πmodt,1,2πn1floort+yxY22πmodt,1,2πn1floort+zxZ22πmodt,1,2πn1floortt≤n1
25
Uttryck 26: "y" Subscript, "p" 3 , Baseline left parenthesis, "t" , right parenthesis equals "x" Subscript, "y" , Baseline "X" Subscript, 2 , Baseline left parenthesis, 2 pi mod left parenthesis, "t" , 1 , right parenthesis , StartFraction, 2 pi Over "n" Subscript, 1 , Baseline , EndFraction floor left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "y" , Baseline "Y" Subscript, 2 , Baseline left parenthesis, 2 pi mod left parenthesis, "t" , 1 , right parenthesis , StartFraction, 2 pi Over "n" Subscript, 1 , Baseline , EndFraction floor left parenthesis, "t" , right parenthesis , right parenthesis plus "z" Subscript, "y" , Baseline "Z" Subscript, 2 , Baseline left parenthesis, 2 pi mod left parenthesis, "t" , 1 , right parenthesis , StartFraction, 2 pi Over "n" Subscript, 1 , Baseline , EndFraction floor left parenthesis, "t" , right parenthesis , right parenthesisyp3t=xyX22πmodt,1,2πn1floort+yyY22πmodt,1,2πn1floort+zyZ22πmodt,1,2πn1floort
26
Uttryck 27: "x" Subscript, "p" 4 , Baseline left parenthesis, "t" , right parenthesis equals "x" Subscript, "x" , Baseline "X" Subscript, 2 , Baseline left parenthesis, StartFraction, 2 pi Over "n" Subscript, 1 , Baseline , EndFraction floor left parenthesis, "t" , right parenthesis , 2 pi mod left parenthesis, "t" , 1 , right parenthesis , right parenthesis plus "y" Subscript, "x" , Baseline "Y" Subscript, 2 , Baseline left parenthesis, StartFraction, 2 pi Over "n" Subscript, 1 , Baseline , EndFraction floor left parenthesis, "t" , right parenthesis , 2 pi mod left parenthesis, "t" , 1 , right parenthesis , right parenthesis plus "z" Subscript, "x" , Baseline "Z" Subscript, 2 , Baseline left parenthesis, StartFraction, 2 pi Over "n" Subscript, 1 , Baseline , EndFraction floor left parenthesis, "t" , right parenthesis , 2 pi mod left parenthesis, "t" , 1 , right parenthesis , right parenthesis left brace, "t" less than or equal to "n" Subscript, 1 , Baseline plus 1 , right bracexp4t=xxX22πn1floort,2πmodt,1+yxY22πn1floort,2πmodt,1+zxZ22πn1floort,2πmodt,1t≤n1+1
27
Uttryck 28: "y" Subscript, "p" 4 , Baseline left parenthesis, "t" , right parenthesis equals "x" Subscript, "y" , Baseline "X" Subscript, 2 , Baseline left parenthesis, StartFraction, 2 pi Over "n" Subscript, 1 , Baseline , EndFraction floor left parenthesis, "t" , right parenthesis , 2 pi mod left parenthesis, "t" , 1 , right parenthesis , right parenthesis plus "y" Subscript, "y" , Baseline "Y" Subscript, 2 , Baseline left parenthesis, StartFraction, 2 pi Over "n" Subscript, 1 , Baseline , EndFraction floor left parenthesis, "t" , right parenthesis , 2 pi mod left parenthesis, "t" , 1 , right parenthesis , right parenthesis plus "z" Subscript, "y" , Baseline "Z" Subscript, 2 , Baseline left parenthesis, StartFraction, 2 pi Over "n" Subscript, 1 , Baseline , EndFraction floor left parenthesis, "t" , right parenthesis , 2 pi mod left parenthesis, "t" , 1 , right parenthesis , right parenthesisyp4t=xyX22πn1floort,2πmodt,1+yyY22πn1floort,2πmodt,1+zyZ22πn1floort,2πmodt,1
28
Uttryck 29:
29
fondnoire1.jpg
Ändra bild
Mitt:
center: left parenthesis, 0 , 0 , right parenthesis0,0
Bredd:
width: 36.7 336.73
Vinkel:
angle: 00
Höjd:
height: 20.2 520.25
Genomskinlighet:
opacity: 11
30
logo.gif
Ändra bild
Mitt:
center: left parenthesis, negative 12.2 6 , negative 4.6 , right parenthesis−12.26,−4.6
Bredd:
width: 1.31.3
Vinkel:
angle: 00
Höjd:
height: 1.31.3
Genomskinlighet:
opacity: 11
31
Uttryck 32: "X" Subscript, 2 , Baseline left parenthesis, "u" , "v" , right parenthesis equals "R" cosine left parenthesis, "v" , right parenthesis left parenthesis, sin "u" , right parenthesisX2u,v=Rcosvsinu
32
Uttryck 33: "Y" Subscript, 2 , Baseline left parenthesis, "u" , "v" , right parenthesis equals "R" sine left parenthesis, "v" , right parenthesis left parenthesis, sin "u" , right parenthesisY2u,v=Rsinvsinu
33
Uttryck 34: "Z" Subscript, 2 , Baseline left parenthesis, "u" , "v" , right parenthesis equals "R" cosine ( "u" ) plus "R"Z2u,v=Rcos(u)+R
34
Uttryck 35: "n" Subscript, 1 , Baseline equals 16n1=16
negative 10−10
100100
35
Uttryck 36: left parenthesis, "x" Subscript, "p" 4 , Baseline left parenthesis, "t" , right parenthesis , "y" Subscript, "p" 4 , Baseline left parenthesis, "t" , right parenthesis , right parenthesisxp4t,yp4t
domän t minimum: 00
less than or equal to "t" less than or equal to≤t≤
domän t maximum: 100100
36
Uttryck 37: left parenthesis, "x" Subscript, "p" 3 , Baseline left parenthesis, "t" , right parenthesis , "y" Subscript, "p" 3 , Baseline left parenthesis, "t" , right parenthesis , right parenthesisxp3t,yp3t
domän t minimum: 00
less than or equal to "t" less than or equal to≤t≤
domän t maximum: 100100
37
Gömd Etikett: "O" equals left parenthesis, "x" Subscript, 0 , Baseline , "y" Subscript, 0 , Baseline , right parenthesisO=x0,y0
Etikett
equals=
left parenthesis, negative 21.6 4 , 3.2 1 , right parenthesis−21.64,3.21
Gömd Etikett: "X" Subscript, 20 , Baseline equals left parenthesis, "x" Subscript, 0 , Baseline plus "x" Subscript, "x" , Baseline , "y" Subscript, 0 , Baseline plus "y" Subscript, "x" , Baseline , right parenthesisX20=x0+xx,y0+yx
Etikett
equals=
left parenthesis, negative 20.6 5 0 7 5 7 9 , 3.2 1 , right parenthesis−20.6507579,3.21
41
Gömd Etikett: "Y" Subscript, 20 , Baseline equals left parenthesis, "x" Subscript, 0 , Baseline plus "y" Subscript, "x" , Baseline , "y" Subscript, 0 , Baseline plus "y" Subscript, "y" , Baseline , right parenthesisY20=x0+yx,y0+yy
Etikett
equals=
left parenthesis, negative 21.6 4 , 3.8 2 3 7 4 5 7 5 , right parenthesis−21.64,3.82374575
42
Gömd Etikett: "Z" Subscript, 20 , Baseline equals left parenthesis, "x" Subscript, 0 , Baseline plus "z" Subscript, "x" , Baseline , "y" Subscript, 0 , Baseline plus "z" Subscript, "x" , Baseline , right parenthesisZ20=x0+zx,y0+zx
Uttryck 47: "a" Subscript, 50 , Baseline equals sine left parenthesis, StartFraction, "a" Subscript, 20 , Baseline Over "b" Subscript, 20 , Baseline , EndFraction , right parenthesisa50=sina20b20
equals=
0.9 9 9 1 5 9 0 2 1 7 2 90.999159021729
47
Uttryck 48: "b" Subscript, 50 , Baseline equals sine left parenthesis, StartFraction, "a" Subscript, 20 , Baseline Over "c" Subscript, 20 , Baseline , EndFraction , right parenthesisb50=sina20c20
equals=
negative 0.9 9 7 6 0 1 2 2 0 2 6 2−0.997601220262
48
49
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
