Uttryck 47: "Q" left parenthesis, 2cos left parenthesis, pi alpha left parenthesis, "t" , right parenthesis positive pi , right parenthesis , 2sin left parenthesis, pi alpha left parenthesis, "t" , right parenthesis positive pi , right parenthesis , 2cos left parenthesis, pi beta left parenthesis, "t" , right parenthesis positive pi , right parenthesis , 2sin left parenthesis, pi beta left parenthesis, "t" , right parenthesis positive pi , right parenthesis , right parenthesisQ2cosπαt+π,2sinπαt+π,2cosπβt+π,2sinπβt+π
47
Uttryck 48: "Q" left parenthesis, 2cos left parenthesis, pi beta left parenthesis, "t" , right parenthesis positive pi , right parenthesis , 2sin left parenthesis, pi beta left parenthesis, "t" , right parenthesis positive pi , right parenthesis , 2cos left parenthesis, pi alpha left parenthesis, "t" , right parenthesis positive pi , right parenthesis , 2sin left parenthesis, pi alpha left parenthesis, "t" , right parenthesis positive pi , right parenthesis , right parenthesisQ2cosπβt+π,2sinπβt+π,2cosπαt+π,2sinπαt+π
48
Rotation Panel
49
Uttryck 50: "x" Subscript, 1 , Baseline equals negative 7.5x1=−7.5
Uttryck 52: left parenthesis, "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline positive 2.5 positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesisx1,y1+2.5+Panel=1:0
52
Uttryck 53: StartFraction, left parenthesis, "x" minus "x" Subscript, 1 , Baseline , right parenthesis to the 10th power Over 1.7 5 to the 10th power , EndFraction plus StartFraction, left parenthesis, "y" minus "y" Subscript, 1 , Baseline , right parenthesis to the 10th power Over 2 to the 10th power , EndFraction less than or equal to 1 positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right bracex−x1101.7510+y−y110210≤1+Panel=1:0
53
Uttryck 54: left parenthesis, "x" Subscript, 1 , Baseline negative 1.2 5 , "y" Subscript, 1 , Baseline negative StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis , left parenthesis, "x" Subscript, 1 , Baseline negative 1.2 5 , "y" Subscript, 1 , Baseline positive StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesisx1−1.25,y1−π2+Panel=1:0,x1−1.25,y1+π2+Panel=1:0
54
Uttryck 55: left parenthesis, "x" Subscript, 1 , Baseline negative 0.7 5 , "y" Subscript, 1 , Baseline negative StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis , left parenthesis, "x" Subscript, 1 , Baseline negative 0.7 5 , "y" Subscript, 1 , Baseline positive StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesisx1−0.75,y1−π2+Panel=1:0,x1−0.75,y1+π2+Panel=1:0
55
Uttryck 56: left parenthesis, "x" Subscript, 1 , Baseline negative 0.2 5 , "y" Subscript, 1 , Baseline negative StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis , left parenthesis, "x" Subscript, 1 , Baseline negative 0.2 5 , "y" Subscript, 1 , Baseline positive StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesisx1−0.25,y1−π2+Panel=1:0,x1−0.25,y1+π2+Panel=1:0
56
Uttryck 57: left parenthesis, "x" Subscript, 1 , Baseline positive 0.2 5 , "y" Subscript, 1 , Baseline negative StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis , left parenthesis, "x" Subscript, 1 , Baseline positive 0.2 5 , "y" Subscript, 1 , Baseline positive StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesisx1+0.25,y1−π2+Panel=1:0,x1+0.25,y1+π2+Panel=1:0
57
Uttryck 58: left parenthesis, "x" Subscript, 1 , Baseline positive 0.7 5 , "y" Subscript, 1 , Baseline negative StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis , left parenthesis, "x" Subscript, 1 , Baseline positive 0.7 5 , "y" Subscript, 1 , Baseline positive StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesisx1+0.75,y1−π2+Panel=1:0,x1+0.75,y1+π2+Panel=1:0
58
Uttryck 59: left parenthesis, "x" Subscript, 1 , Baseline positive 1.2 5 , "y" Subscript, 1 , Baseline negative StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis , left parenthesis, "x" Subscript, 1 , Baseline positive 1.2 5 , "y" Subscript, 1 , Baseline positive StartFraction, pi Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesisx1+1.25,y1−π2+Panel=1:0,x1+1.25,y1+π2+Panel=1:0
59
Uttryck 60: left parenthesis, Start Cube Root, "x" cubed , End Cube Root negative 1.2 5 , Start Cube Root, "y" cubed , End Cube Root positive StartFraction, theta Subscript, "x" "y" , Baseline Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis3x31−1.25,3y31+θxy2+Panel=1:0
60
Uttryck 61: left parenthesis, Start Cube Root, "x" cubed , End Cube Root negative 0.7 5 , Start Cube Root, "y" cubed , End Cube Root positive StartFraction, theta Subscript, "x" "z" , Baseline Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis3x31−0.75,3y31+θxz2+Panel=1:0
61
Uttryck 62: left parenthesis, Start Cube Root, "x" cubed , End Cube Root negative 0.2 5 , Start Cube Root, "y" cubed , End Cube Root positive StartFraction, theta Subscript, "y" "z" , Baseline Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis3x31−0.25,3y31+θyz2+Panel=1:0
62
Uttryck 63: left parenthesis, Start Cube Root, "x" cubed , End Cube Root positive 0.2 5 , Start Cube Root, "y" cubed , End Cube Root positive StartFraction, theta Subscript, "x" "w" , Baseline Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis3x31+0.25,3y31+θxw2+Panel=1:0
63
Uttryck 64: left parenthesis, Start Cube Root, "x" cubed , End Cube Root positive 0.7 5 , Start Cube Root, "y" cubed , End Cube Root positive StartFraction, theta Subscript, "y" "w" , Baseline Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis3x31+0.75,3y31+θyw2+Panel=1:0
64
Uttryck 65: left parenthesis, Start Cube Root, "x" cubed , End Cube Root positive 1.2 5 , Start Cube Root, "y" cubed , End Cube Root positive StartFraction, theta Subscript, "z" "w" , Baseline Over 2 , EndFraction positive left brace, "P" Subscript, "a" "n" "e" "l" , Baseline equals 1 : 0 , right brace , right parenthesis3x31+1.25,3y31+θzw2+Panel=1:0
65
Platforms
66
Uttryck 67: polygon left parenthesis, "P" left parenthesis, 5 , 5 , negative 5 , right parenthesis , "P" left parenthesis, negative 5 , 5 , negative 5 , right parenthesis , "P" left parenthesis, negative 5 , negative 5 , negative 5 , right parenthesis , "P" left parenthesis, 5 , negative 5 , negative 5 , right parenthesis , right parenthesispolygonP5,5,−5,P−5,5,−5,P−5,−5,−5,P5,−5,−5
67
Uttryck 68: polygon left parenthesis, "P" left parenthesis, 5 , 5 , negative 4 , right parenthesis , "P" left parenthesis, negative 5 , 5 , negative 4 , right parenthesis , "P" left parenthesis, negative 5 , negative 5 , negative 4 , right parenthesis , "P" left parenthesis, 5 , negative 5 , negative 4 , right parenthesis , right parenthesispolygonP5,5,−4,P−5,5,−4,P−5,−5,−4,P5,−5,−4
68
Uttryck 69: polygon left parenthesis, "P" left parenthesis, 5 , 5 , negative 3 , right parenthesis , "P" left parenthesis, negative 5 , 5 , negative 3 , right parenthesis , "P" left parenthesis, negative 5 , negative 5 , negative 3 , right parenthesis , "P" left parenthesis, 5 , negative 5 , negative 3 , right parenthesis , right parenthesispolygonP5,5,−3,P−5,5,−3,P−5,−5,−3,P5,−5,−3
69
Calculations
70
Uttryck 71: "S" Subscript, "i" "g" "n" "i" "f" "i" "c" "a" "n" "t" , Baseline left parenthesis, "x" , right parenthesis equals left brace, "x" equals 0 : 0 , sign left parenthesis, "x" , right parenthesis StartFraction, round left parenthesis, 10 Superscript, "n" minus ceil left parenthesis, log Subscript, 10 , Baseline left parenthesis, StartAbsoluteValue, "x" , EndAbsoluteValue , right parenthesis , right parenthesis , Baseline StartAbsoluteValue, "x" , EndAbsoluteValue , right parenthesis Over 10 Superscript, "n" minus ceil left parenthesis, log Subscript, 10 , Baseline left parenthesis, StartAbsoluteValue, "x" , EndAbsoluteValue , right parenthesis , right parenthesis , Baseline , EndFraction , right braceSignificantx=x=0:0,signxround10n−ceillog10xx10n−ceillog10x
71
Uttryck 72: "A" Subscript, 1 , Baseline equals "S" Subscript, "i" "g" "n" "i" "f" "i" "c" "a" "n" "t" , Baseline left parenthesis, theta Subscript, "x" "y" , Baseline times StartFraction, 180 Over pi , EndFraction , right parenthesisA1=Significantθxy·180π
72
Uttryck 73: "B" Subscript, 1 , Baseline equals "S" Subscript, "i" "g" "n" "i" "f" "i" "c" "a" "n" "t" , Baseline left parenthesis, theta Subscript, "x" "z" , Baseline times StartFraction, 180 Over pi , EndFraction , right parenthesisB1=Significantθxz·180π
73
Uttryck 74: "C" Subscript, 1 , Baseline equals "S" Subscript, "i" "g" "n" "i" "f" "i" "c" "a" "n" "t" , Baseline left parenthesis, theta Subscript, "y" "z" , Baseline times StartFraction, 180 Over pi , EndFraction , right parenthesisC1=Significantθyz·180π
74
Uttryck 75: "D" Subscript, 1 , Baseline equals "S" Subscript, "i" "g" "n" "i" "f" "i" "c" "a" "n" "t" , Baseline left parenthesis, theta Subscript, "x" "w" , Baseline times StartFraction, 180 Over pi , EndFraction , right parenthesisD1=Significantθxw·180π
75
Uttryck 76: "E" Subscript, 1 , Baseline equals "S" Subscript, "i" "g" "n" "i" "f" "i" "c" "a" "n" "t" , Baseline left parenthesis, theta Subscript, "y" "w" , Baseline times StartFraction, 180 Over pi , EndFraction , right parenthesisE1=Significantθyw·180π
76
Uttryck 77: "F" Subscript, 1 , Baseline equals "S" Subscript, "i" "g" "n" "i" "f" "i" "c" "a" "n" "t" , Baseline left parenthesis, theta Subscript, "z" "w" , Baseline times StartFraction, 180 Over pi , EndFraction , right parenthesisF1=Significantθzw·180π
77
78
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
