Espressione 57: StartFraction, left parenthesis, "x" plus 50 , right parenthesis squared Over 4 squared , EndFraction plus StartFraction, left parenthesis, "y" minus 8 , right parenthesis squared Over 2 squared , EndFraction equals 1x+50242+y−8222=1
57
Espressione 58: "y" equals 200 left parenthesis, "x" plus 53.8 , right parenthesis squared left brace, negative 54 less than "x" less than negative 53.8 , right bracey=200x+53.82−54<x<−53.8
58
Espressione 59: "y" equals 200 left parenthesis, "x" plus 46.2 , right parenthesis squared left brace, negative 46.2 less than "x" less than negative 46 , right bracey=200x+46.22−46.2<x<−46
59
Espressione 60: "y" equals StartFraction, 1 Over 50 , EndFraction left parenthesis, "x" plus 50 , right parenthesis squared minus .3 left brace, negative 53.8 7 3 less than "x" less than negative 46.1 2 7 , right bracey=150x+502−.3−53.873<x<−46.127
60
Espressione 61: "y" equals 2 left brace, negative 53.9 less than "x" less than negative 46.1 , right bracey=2−53.9<x<−46.1
61
Espressione 62: "y" equals 5 left brace, negative 53.9 less than "x" less than negative 46.1 , right bracey=5−53.9<x<−46.1
62
Espressione 63: "y" equals 4 left brace, negative 53.9 less than "x" less than negative 46.1 , right bracey=4−53.9<x<−46.1
63
Espressione 64: "y" equals 4.5 left brace, negative 53.9 less than "x" less than negative 46.1 , right bracey=4.5−53.9<x<−46.1
64
Espressione 65: "y" equals 3.5 left brace, negative 53.9 less than "x" less than negative 46.1 , right bracey=3.5−53.9<x<−46.1
65
Espressione 66: "y" equals 3 left brace, negative 53.9 less than "x" less than negative 46.1 , right bracey=3−53.9<x<−46.1
66
Espressione 67: "y" equals 2.5 left brace, negative 53.9 less than "x" less than negative 46.1 , right bracey=2.5−53.9<x<−46.1
67
Espressione 68: "y" equals 2.2 5 left brace, negative 53.9 less than "x" less than negative 46.1 , right bracey=2.25−53.9<x<−46.1
68
Espressione 69: "y" equals 2.7 5 left brace, negative 53.9 less than "x" less than negative 46.1 , right bracey=2.75−53.9<x<−46.1
69
Espressione 70: "y" equals 3.2 5 left brace, negative 53.9 less than "x" less than negative 46.1 , right bracey=3.25−53.9<x<−46.1
70
Espressione 71: "y" equals 3.7 5 left brace, negative 53.9 less than "x" less than negative 46.1 , right bracey=3.75−53.9<x<−46.1
71
Espressione 72: "y" equals 4.2 5 left brace, negative 53.9 less than "x" less than negative 46.1 , right bracey=4.25−53.9<x<−46.1
72
Espressione 73: "y" equals 4.7 5 left brace, negative 53.9 less than "x" less than negative 46.1 , right bracey=4.75−53.9<x<−46.1
73
Espressione 74: StartFraction, left parenthesis, "x" plus 50 , right parenthesis squared Over 4 squared , EndFraction plus StartFraction, left parenthesis, "y" minus 14 , right parenthesis squared Over 4 squared , EndFraction less than or equal to 1x+50242+y−14242≤1
74
Espressione 75: "x" equals negative 30 left brace, 0 less than "y" less than 5 , right bracex=−300<y<5
75
Espressione 76: "y" equals StartFraction, 1 Over 140 , EndFraction left parenthesis, "x" plus 30 , right parenthesis squared plus 2.5 left brace, negative 33 less than "x" less than negative 30 , right bracey=1140x+302+2.5−33<x<−30
76
Espressione 77: "x" equals negative 27 left brace, 0 less than "y" less than 5 , right bracex=−270<y<5
77
Espressione 78: "y" equals StartFraction, 1 Over 140 , EndFraction left parenthesis, "x" plus 30 , right parenthesis squared positive .5 left brace, negative 33.2 less than "x" less than negative 30 , right bracey=1140x+302+.5−33.2<x<−30
78
Espressione 79: "y" equals StartFraction, 1 Over 140 , EndFraction left parenthesis, "x" plus 25 , right parenthesis Superscript, 2 , Baseline left brace, negative 30 less than "x" less than negative 27 , right bracey=1140x+252−30<x<−27
79
Espressione 80: "y" equals StartFraction, 1 Over 140 , EndFraction left parenthesis, "x" plus 25 , right parenthesis Superscript, 2 , Baseline plus 2 left brace, negative 30 less than "x" less than negative 27 , right bracey=1140x+252+2−30<x<−27
80
Espressione 81: "x" equals negative 23 left brace, 1 less than "y" less than 5 , right bracex=−231<y<5
81
Espressione 82: "y" equals StartFraction, 1 Over 30 , EndFraction left parenthesis, "x" plus 20 , right parenthesis squared plus 3 left brace, negative 23 less than "x" less than negative 20 , right bracey=130x+202+3−23<x<−20
82
Espressione 83: "y" equals StartFraction, 1 Over 60 , EndFraction left parenthesis, "x" plus 20 , right parenthesis squared plus 1 left brace, negative 23 less than "x" less than negative 20 , right bracey=160x+202+1−23<x<−20
83
Espressione 84: "y" equals StartFraction, 1 Over 50 , EndFraction left parenthesis, "x" plus 17 , right parenthesis squared plus 2 left brace, negative 19.9 3 less than "x" less than negative 15.8 5 , right bracey=150x+172+2−19.93<x<−15.85
84
Espressione 85: "y" equals StartFraction, 1 Over 50 , EndFraction left parenthesis, "x" plus 17 , right parenthesis squared left brace, negative 19.9 3 less than "x" less than negative 15.8 5 , right bracey=150x+172−19.93<x<−15.85
85
Espressione 86: "x" equals negative 60 left brace, 0 less than "y" less than 60 , right bracex=−600<y<60
86
Espressione 87: "x" equals negative 150 left brace, 0 less than "y" less than 60 , right bracex=−1500<y<60
87
Espressione 88: "x" equals negative 70 left brace, 0 less than "y" less than 70 , right bracex=−700<y<70
88
Espressione 89: "x" equals negative 80 left brace, 0 less than "y" less than 78 , right bracex=−800<y<78
89
Espressione 90: "x" equals negative 90 left brace, 50 less than "y" less than 83 , right bracex=−9050<y<83
90
Espressione 91: "x" equals negative 100 left brace, 50 less than "y" less than 86 , right bracex=−10050<y<86
91
Espressione 92: "x" equals negative 110 left brace, 50 less than "y" less than 86 , right bracex=−11050<y<86
92
Espressione 93: "x" equals negative 120 left brace, 50 less than "y" less than 83 , right bracex=−12050<y<83
93
Espressione 94: "x" equals negative 130 left brace, 0 less than "y" less than 78 , right bracex=−1300<y<78
94
Espressione 95: "x" equals negative 140 left brace, 0 less than "y" less than 70 , right bracex=−1400<y<70
95
Espressione 96: "y" equals negative StartFraction, 1 Over 80 , EndFraction left parenthesis, "x" plus 105 , right parenthesis squared plus 85 left brace, negative 155 less than "x" less than negative 55 , right bracey=−180x+1052+85−155<x<−55
96
Espressione 97: "y" equals negative StartFraction, 1 Over 80 , EndFraction left parenthesis, "x" plus 105 , right parenthesis squared plus 95 left brace, negative 155 less than "x" less than negative 55 , right bracey=−180x+1052+95−155<x<−55
97
Espressione 98: "x" equals negative 55 left brace, 54 less than "y" less than 64 , right bracex=−5554<y<64
98
Espressione 99: "x" equals negative 155 left brace, 54 less than "y" less than 64 , right bracex=−15554<y<64
99
Espressione 100: "y" equals 50 left brace, negative 130 less than "x" less than negative 80 , right bracey=50−130<x<−80
100
Espressione 101: "y" equals left parenthesis, "x" plus 130 , right parenthesis left brace, negative 130 less than "x" less than negative 80 , right bracey=x+130−130<x<−80
101
Espressione 102: "y" equals negative left parenthesis, "x" plus 80 , right parenthesis left brace, negative 130 less than "x" less than negative 80 , right bracey=−x+80−130<x<−80
102
Espressione 103: "x" equals negative 170 left brace, 0 less than "y" less than 110 , right bracex=−1700<y<110
103
Espressione 104: "x" equals negative 210 left brace, 0 less than "y" less than 110 , right bracex=−2100<y<110
104
Espressione 105: "y" equals StartFraction, 2 Over 200 , EndFraction left parenthesis, "x" plus 190 , right parenthesis squared positive 80 left brace, negative 210 less than "x" less than negative 170 , right bracey=2200x+1902+80−210<x<−170
105
Espressione 106: "y" equals StartFraction, 2 Over 200 , EndFraction left parenthesis, "x" plus 190 , right parenthesis squared positive 50 left brace, negative 210 less than "x" less than negative 170 , right bracey=2200x+1902+50−210<x<−170
106
Espressione 107: "y" equals StartFraction, 2 Over 200 , EndFraction left parenthesis, "x" plus 190 , right parenthesis squared positive 20 left brace, negative 210 less than "x" less than negative 170 , right bracey=2200x+1902+20−210<x<−170
107
Espressione 108: "y" equals StartFraction, 2 Over 200 , EndFraction left parenthesis, "x" plus 190 , right parenthesis squared positive 105 left brace, negative 214 less than "x" less than negative 166 , right bracey=2200x+1902+105−214<x<−166
108
Espressione 109: left parenthesis, "x" plus 190 , right parenthesis squared plus left parenthesis, "y" minus 110 , right parenthesis squared equals 25 Superscript, 2 left brace, "y" greater than 110 , right brace , Baselinex+1902+y−1102=252y>110
109
Espressione 110: "x" equals StartFraction, 1 Over 1000 , EndFraction left parenthesis, "y" minus 40 , right parenthesis squared minus 210 left brace, 108 less than "y" less than 132 , right bracex=11000y−402−210108<y<132
110
Espressione 111: "x" equals negative 190 left brace, 105 less than "y" less than 135 , right bracex=−190105<y<135
111
Espressione 112: "x" equals negative StartFraction, 1 Over 1000 , EndFraction left parenthesis, "y" minus 40 , right parenthesis squared minus 170 left brace, 107 less than "y" less than 132 , right bracex=−11000y−402−170107<y<132
112
Espressione 113: "y" equals 3 left brace, negative 53.9 less than "x" less than negative 46.1 , right bracey=3−53.9<x<−46.1
113
Espressione 114: "y" equals 3.2 5 left brace, negative 53.9 less than "x" less than negative 46.1 , right bracey=3.25−53.9<x<−46.1
114
115
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"y"y
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"a" Superscript, "b" , Baselineab
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greater than>
44
55
66
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greater than or equal to≥
11
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33
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Esempi
Rette: forma esplicita
esempio
Rette: equazione per un punto
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Rette: equazione per due punti
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Parabole: equazione standard
esempio
Parabole: equazione al vertice
esempio
Parabole: equazione standard + tangente
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Trigonometria: periodo e ampiezza
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Trigonometria: fase
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Trigonometria: interferenza
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Trigonometria: circonferenza unitaria
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Sezioni coniche: circonferenza
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Sezioni coniche: parabola e fuoco
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Sezioni coniche: ellisse e fuochi
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Sezioni coniche: iperbole
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Coordinate polari: rodonea
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Coordinate polari: spirale logaritmica
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Coordinate polari: chiocciola di Pascal
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Coordinate polari: sezioni coniche
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Equazione parametrica: introduzione
esempio
Equazione parametrica: cicloide
esempio
Trasformazioni: traslare una funzione
esempio
Trasformazioni: omotetia di una funzione
esempio
Trasformazioni: funzione Inversa
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Statistica: regressione lineare
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Statistica: il quartetto di Anscombe
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Statistica: polinomio di quarto grado
esempio
Elenchi: famiglia delle onde sinusoidali
esempio
Elenchi: curve stitching
esempio
Elenchi: grafico di un elenco di punti
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Calcolo infinitesimale: derivate
esempio
Calcolo infinitesimale: retta secante
esempio
Calcolo infinitesimale: retta tangente
esempio
Calcolo infinitesimale: sviluppo di Taylor di sin (x)
esempio
Calcolo infinitesimale: integrali
esempio
Calcolo infinitesimale: integrale con estremi regolabili
esempio
Calcolo infinitesimale: teorema fondamentale del calcolo integrale