Espressione 46: left parenthesis, "x" minus 66.8 , right parenthesis squared plus left parenthesis, "y" minus 49 , right parenthesis squared equals 1500 left brace, 64 less than or equal to "x" less than or equal to 69.9 5 6 , right brace left brace, "y" less than or equal to 50 , right bracex−66.82+y−492=150064≤x≤69.956y≤50
46
Espressione 47: left parenthesis, "x" minus 48 , right parenthesis squared plus left parenthesis, "y" minus 33.2 , right parenthesis squared equals 1200 left brace, "y" less than or equal to 5.0 0 9 , right brace left brace, "x" greater than or equal to 27.8 7 6 , right bracex−482+y−33.22=1200y≤5.009x≥27.876
47
Espressione 48: StartFraction, left parenthesis, "x" minus 48 , right parenthesis to the 6th power Over 6000 , EndFraction plus 13.6 left brace, 41.9 1 4 less than or equal to "x" less than or equal to 54.0 8 6 , right bracex−4866000+13.641.914≤x≤54.086
48
Espressione 49: StartFraction, left parenthesis, "x" minus 48 , right parenthesis squared Over 100 , EndFraction plus 21.7 left brace, 54.0 8 6 greater than or equal to "x" greater than or equal to 41.9 1 4 , right bracex−482100+21.754.086≥x≥41.914
49
Espressione 50: StartFraction, left parenthesis, "x" minus 70.9 , right parenthesis squared Over 12 , EndFraction plus 3.7 left brace, 68.6 6 9 less than or equal to "x" less than or equal to 73.1 7 5 , right bracex−70.9212+3.768.669≤x≤73.175
50
Espressione 51: StartFraction, left parenthesis, "x" minus 25.2 , right parenthesis squared Over 10 , EndFraction plus 3.5 left brace, 22.8 5 less than or equal to "x" less than or equal to 27.5 0 6 , right bracex−25.2210+3.522.85≤x≤27.506
51
Espressione 52: negative left parenthesis, "x" minus 34.5 , right parenthesis squared plus 1.2 left brace, 34.5 less than or equal to "x" less than or equal to 37 , right brace−x−34.52+1.234.5≤x≤37
52
Espressione 53: "y" equals negative 5.0 5 left brace, 37 less than or equal to "x" less than or equal to 46 , right bracey=−5.0537≤x≤46
53
Espressione 54: "x" equals 46 left brace, negative 5.0 5 less than or equal to "y" less than or equal to negative 1.3 8 3 2 , right bracex=46−5.05≤y≤−1.3832
54
Espressione 55: "x" equals 50 left brace, negative 5.0 5 less than or equal to "y" less than or equal to negative 1.3 8 3 , right bracex=50−5.05≤y≤−1.383
55
Espressione 56: "y" equals negative 5.0 5 left brace, 50 less than or equal to "x" less than or equal to 59 , right bracey=−5.0550≤x≤59
56
Espressione 57: negative left parenthesis, "x" minus 61.5 , right parenthesis squared plus 1.2 left brace, 59 less than or equal to "x" less than or equal to 61.5 , right brace−x−61.52+1.259≤x≤61.5
57
Espressione 58: "x" minus 27 left brace, 44.7 5 less than or equal to "x" less than or equal to 48.1 2 5 , right bracex−2744.75≤x≤48.125
58
Espressione 59: negative "x" plus 69.2 5 left brace, 48.1 2 5 less than or equal to "x" less than or equal to 50.9 5 6 , right brace−x+69.2548.125≤x≤50.956
59
Espressione 60: "x" minus 34 left brace, 48.2 5 less than or equal to "x" less than or equal to 51.6 , right bracex−3448.25≤x≤51.6
60
Espressione 61: negative "x" plus 62.5 left brace, 44.7 5 less than or equal to "x" less than or equal to 48.2 5 , right brace−x+62.544.75≤x≤48.25
61
Espressione 62: "y" equals 17.6 left brace, 48.3 less than or equal to "x" less than or equal to 51.6 , right bracey=17.648.3≤x≤51.6
62
Espressione 63: left parenthesis, "x" minus 48.1 2 5 , right parenthesis squared plus left parenthesis, "y" minus 17.8 , right parenthesis squared equals 2 left brace, "x" less than or equal to 49.4 5 0 1 , right bracex−48.1252+y−17.82=2x≤49.4501
63
Espressione 64: "y" equals 18.2 9 4 left brace, 49.4 5 less than or equal to "x" less than or equal to 50.9 5 6 , right bracey=18.29449.45≤x≤50.956
64
Espressione 65: "y" equals 17.3 0 6 left brace, 48.3 less than or equal to "x" less than or equal to 49.4 5 , right bracey=17.30648.3≤x≤49.45
65
Espressione 66: "x" equals 48.3 left brace, 17.3 0 6 less than or equal to "y" less than or equal to 17.6 , right bracex=48.317.306≤y≤17.6
66
Espressione 67: StartFraction, tan left parenthesis, "x" minus 2.7 , right parenthesis Over 2 , EndFraction minus 7 left brace, 35.9 8 8 less than or equal to "x" less than or equal to 38.5 7 7 , right bracetanx−2.72−735.988≤x≤38.577
67
Espressione 68: left parenthesis, "x" minus 39.4 3 , right parenthesis squared plus left parenthesis, "y" plus 9 , right parenthesis squared equals 12 left brace, "x" less than or equal to 37.0 7 9 1 1 4 , right brace left brace, negative 11.9 less than or equal to "y" less than or equal to negative 8.6 0 8 , right bracex−39.432+y+92=12x≤37.079114−11.9≤y≤−8.608
68
Espressione 69: sine left parenthesis, StartFraction, 50 "x" Over 100 , EndFraction minus 5.5 , right parenthesis minus 12 left brace, 37.0 7 9 1 1 4 4 less than or equal to "x" less than or equal to 41.7 4 6 , right bracesin50x100−5.5−1237.0791144≤x≤41.746
69
Espressione 70: sine left parenthesis, StartFraction, 4 "x" Over 5 , EndFraction minus 10.6 , right parenthesis minus 10.9 5 left brace, 41.7 4 6 less than or equal to "x" less than or equal to 44.3 7 2 , right bracesin4x5−10.6−10.9541.746≤x≤44.372
70
Espressione 71: left parenthesis, "x" minus 39.4 5 , right parenthesis squared plus left parenthesis, "y" plus 9 , right parenthesis squared equals 10 left brace, "y" less than or equal to negative 11.4 0 8 , right brace left brace, "x" less than or equal to 41.3 8 , right bracex−39.452+y+92=10y≤−11.408x≤41.38
71
Espressione 72: negative 10 "x" plus 440 left brace, 44.5 0 5 less than or equal to "x" less than or equal to 44.9 4 6 , right brace−10x+44044.505≤x≤44.946
72
Espressione 73: 10 "x" minus 520 left brace, 50.9 7 7 less than or equal to "x" less than or equal to 51.4 9 5 , right brace10x−52050.977≤x≤51.495
73
Espressione 74: StartFraction, negative left parenthesis, "x" minus 40 , right parenthesis squared Over 12 , EndFraction plus 85 left brace, 29 less than or equal to "x" less than or equal to 43.3 5 1 , right brace−x−40212+8529≤x≤43.351
74
Espressione 75: StartFraction, negative left parenthesis, "x" minus 56 , right parenthesis squared Over 12 , EndFraction plus 85 left brace, 52.4 6 9 less than or equal to "x" less than or equal to 67 , right brace−x−56212+8552.469≤x≤67
75
Espressione 76: negative StartFraction, tan left parenthesis, "x" minus 2.2 , right parenthesis Over 2 , EndFraction minus 7 left brace, 57.4 2 9 less than or equal to "x" less than or equal to 59.9 9 8 , right brace−tanx−2.22−757.429≤x≤59.998
76
Espressione 77: left parenthesis, "x" minus 56.5 7 , right parenthesis squared plus left parenthesis, "y" plus 9 , right parenthesis squared equals 12 left brace, negative 11.8 6 7 less than or equal to "y" less than or equal to negative 8.5 0 1 , right brace left brace, "x" greater than or equal to 55 , right bracex−56.572+y+92=12−11.867≤y≤−8.501x≥55
77
Espressione 78: sine left parenthesis, StartFraction, 50 "x" Over 100 , EndFraction minus 7.4 , right parenthesis minus 12 left brace, 53.8 8 9 less than or equal to "x" less than or equal to 58.5 1 5 , right bracesin50x100−7.4−1253.889≤x≤58.515
78
Espressione 79: sine left parenthesis, StartFraction, 4 "x" Over 5 , EndFraction minus 5.7 8 , right parenthesis minus 11 left brace, 51.4 8 4 less than or equal to "x" less than or equal to 53.8 8 9 , right bracesin4x5−5.78−1151.484≤x≤53.889
79
Espressione 80: StartFraction, negative left parenthesis, "x" minus 41.5 , right parenthesis squared Over 10 , EndFraction plus 86 left brace, 31.6 7 less than or equal to "x" less than or equal to 45.5 3 2 , right brace−x−41.5210+8631.67≤x≤45.532
80
Espressione 81: StartFraction, negative left parenthesis, "x" minus 54.5 , right parenthesis squared Over 10 , EndFraction plus 86 left brace, 50.4 6 8 less than or equal to "x" less than or equal to 64.4 7 , right brace−x−54.5210+8650.468≤x≤64.47
81
Espressione 82: StartFraction, negative left parenthesis, "x" minus 52.5 , right parenthesis squared Over 12 , EndFraction plus 85.5 left brace, 48.9 9 4 less than or equal to "x" less than or equal to 62.0 4 , right brace−x−52.5212+85.548.994≤x≤62.04
82
Espressione 83: StartFraction, negative left parenthesis, "x" minus 43.5 , right parenthesis squared Over 12 , EndFraction plus 85.5 left brace, 33.8 6 less than or equal to "x" less than or equal to 47.0 0 6 , right brace−x−43.5212+85.533.86≤x≤47.006
83
Espressione 84: 3 "x" minus 144.3 left brace, 44.3 7 2 less than or equal to "x" less than or equal to 44.9 4 6 , right brace3x−144.344.372≤x≤44.946
84
Espressione 85: negative 3 "x" plus 142.7 left brace, 50.9 7 7 less than or equal to "x" less than or equal to 51.4 8 4 , right brace−3x+142.750.977≤x≤51.484
85
Espressione 86: left parenthesis, "x" minus 56.5 , right parenthesis squared plus left parenthesis, "y" plus 9 , right parenthesis squared equals 10 left brace, "y" less than or equal to negative 11.2 3 , right brace left brace, 58.1 5 8 greater than or equal to "x" , right bracex−56.52+y+92=10y≤−11.2358.158≥x
86
Espressione 87: left parenthesis, "x" minus 71 , right parenthesis squared plus left parenthesis, "y" plus .5 , right parenthesis squared equals 6 left brace, "x" greater than or equal to 70.7 6 3 , right brace left brace, "y" less than or equal to 1.5 6 2 5 , right bracex−712+y+.52=6x≥70.763y≤1.5625
87
Espressione 88: left parenthesis, "x" minus 69.3 5 , right parenthesis squared plus left parenthesis, "y" plus 3 , right parenthesis squared equals 2 left brace, "y" less than or equal to negative 2.9 3 8 , right bracex−69.352+y+32=2y≤−2.938
88
Espressione 89: left parenthesis, "x" minus 24 , right parenthesis squared plus left parenthesis, "y" plus .5 , right parenthesis squared equals 6 left brace, "x" less than or equal to 24.3 8 8 , right brace left brace, "y" less than or equal to 1.9 0 8 , right bracex−242+y+.52=6x≤24.388y≤1.908
89
Espressione 90: left parenthesis, "x" minus 25.8 , right parenthesis squared plus left parenthesis, "y" plus 3 , right parenthesis squared equals 2 left brace, "y" less than or equal to negative 2.9 1 9 , right bracex−25.82+y+32=2y≤−2.919
90
Espressione 91: left parenthesis, "x" minus 27.6 , right parenthesis squared plus left parenthesis, "y" plus .5 , right parenthesis squared equals 6 left brace, "y" less than or equal to 1.8 7 2 , right brace left brace, "x" greater than or equal to 27.2 1 2 , right bracex−27.62+y+.52=6y≤1.872x≥27.212
91
Espressione 92: left parenthesis, "x" minus 67.7 , right parenthesis squared plus left parenthesis, "y" plus .5 , right parenthesis squared equals 6 left brace, "x" less than or equal to 67.9 3 7 , right bracex−67.72+y+.52=6x≤67.937
92
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Esempi
Rette: forma esplicita
esempio
Rette: equazione per un punto
esempio
Rette: equazione per due punti
esempio
Parabole: equazione standard
esempio
Parabole: equazione al vertice
esempio
Parabole: equazione standard + tangente
esempio
Trigonometria: periodo e ampiezza
esempio
Trigonometria: fase
esempio
Trigonometria: interferenza
esempio
Trigonometria: circonferenza unitaria
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Sezioni coniche: circonferenza
esempio
Sezioni coniche: parabola e fuoco
esempio
Sezioni coniche: ellisse e fuochi
esempio
Sezioni coniche: iperbole
esempio
Coordinate polari: rodonea
esempio
Coordinate polari: spirale logaritmica
esempio
Coordinate polari: chiocciola di Pascal
esempio
Coordinate polari: sezioni coniche
esempio
Equazione parametrica: introduzione
esempio
Equazione parametrica: cicloide
esempio
Trasformazioni: traslare una funzione
esempio
Trasformazioni: omotetia di una funzione
esempio
Trasformazioni: funzione Inversa
esempio
Statistica: regressione lineare
esempio
Statistica: il quartetto di Anscombe
esempio
Statistica: polinomio di quarto grado
esempio
Elenchi: famiglia delle onde sinusoidali
esempio
Elenchi: curve stitching
esempio
Elenchi: grafico di un elenco di punti
esempio
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
