Espressione 25: "x" equals negative 8 left brace, 9.5 greater than or equal to "y" greater than or equal to 8.5 , right bracex=−89.5≥y≥8.5
25
Espressione 26: "y" equals 9.5 left brace, negative 8 less than "x" less than 8 , right bracey=9.5−8<x<8
26
Espressione 27: left parenthesis, "x" minus 0 , right parenthesis squared plus left parenthesis, "y" minus 0 , right parenthesis squared equals 10 squared left brace, "y" less than or equal to 8.5 , right bracex−02+y−02=102y≤8.5
27
Espressione 28: "y" equals 8.5 left brace, negative 8 less than "x" less than 8 , right bracey=8.5−8<x<8
28
Espressione 29: StartFraction, left parenthesis, "x" minus 3 , right parenthesis squared Over 1 squared , EndFraction plus StartFraction, left parenthesis, "y" minus 5 , right parenthesis squared Over 3 squared , EndFraction equals 1x−3212+y−5232=1
29
Espressione 30: StartFraction, left parenthesis, "x" minus negative 3 , right parenthesis squared Over 1 squared , EndFraction plus StartFraction, left parenthesis, "y" minus 5 , right parenthesis squared Over 3 squared , EndFraction equals 1x−−3212+y−5232=1
30
Espressione 31: StartFraction, left parenthesis, "x" minus 3 , right parenthesis squared Over 0.6 squared , EndFraction plus StartFraction, left parenthesis, "y" minus 6 , right parenthesis squared Over 1 squared , EndFraction equals 1x−320.62+y−6212=1
31
Espressione 32: StartFraction, left parenthesis, "x" minus negative 3 , right parenthesis squared Over 0.6 squared , EndFraction plus StartFraction, left parenthesis, "y" minus 6 , right parenthesis squared Over 1 squared , EndFraction equals 1x−−320.62+y−6212=1
32
Espressione 33: StartFraction, left parenthesis, "x" minus 3 , right parenthesis squared Over 0.5 squared , EndFraction plus StartFraction, left parenthesis, "y" minus 4.5 , right parenthesis squared Over 2 squared , EndFraction less than or equal to 1 left brace, "y" less than or equal to 4.5 , right bracex−320.52+y−4.5222≤1y≤4.5
33
Espressione 34: StartFraction, left parenthesis, "x" minus negative 3 , right parenthesis squared Over 0.5 squared , EndFraction plus StartFraction, left parenthesis, "y" minus 4.5 , right parenthesis squared Over 2 squared , EndFraction less than or equal to 1 left brace, "y" less than or equal to 4.5 , right bracex−−320.52+y−4.5222≤1y≤4.5
34
Espressione 35: "y" equals left parenthesis, "x" minus 3 , right parenthesis squared plus 4.3 left brace, "y" less than or equal to 4.5 , right bracey=x−32+4.3y≤4.5
35
Espressione 36: "y" equals left parenthesis, "x" minus negative 3 , right parenthesis squared plus 4.3 left brace, "y" less than or equal to 4.5 , right bracey=x−−32+4.3y≤4.5
36
Espressione 37: StartFraction, left parenthesis, "x" minus negative 6 , right parenthesis squared Over 2 squared , EndFraction plus StartFraction, left parenthesis, "y" minus 0 , right parenthesis squared Over 0.7 squared , EndFraction less than or equal to 1x−−6222+y−020.72≤1
37
Espressione 38: StartFraction, left parenthesis, "x" minus 6 , right parenthesis squared Over 2 squared , EndFraction plus StartFraction, left parenthesis, "y" minus 0 , right parenthesis squared Over 0.7 squared , EndFraction less than or equal to 1x−6222+y−020.72≤1
38
Espressione 39: "y" equals 0.7 "x" squared minus 1.5 left brace, "y" less than or equal to 0.5 , right bracey=0.7x2−1.5y≤0.5
39
Espressione 40: StartFraction, left parenthesis, "x" minus 0 , right parenthesis squared Over 2.9 squared , EndFraction plus StartFraction, left parenthesis, "y" minus negative 2 , right parenthesis squared Over 3 squared , EndFraction equals 1 left brace, "y" greater than or equal to 0.5 , right bracex−022.92+y−−2232=1y≥0.5
40
Espressione 41: StartFraction, left parenthesis, "x" minus 0 , right parenthesis squared Over 1.7 squared , EndFraction plus StartFraction, left parenthesis, "y" minus negative 1 , right parenthesis squared Over 1 squared , EndFraction equals 1 left brace, "y" greater than or equal to negative 0.3 , right bracex−021.72+y−−1212=1y≥−0.3
41
Espressione 42: StartFraction, left parenthesis, "x" times cos left parenthesis, negative 1.1 , right parenthesis plus "y" times sin left parenthesis, 0.7 , right parenthesis plus 4 , right parenthesis squared Over 2.3 squared , EndFraction plus StartFraction, left parenthesis, negative "x" times sin left parenthesis, 0.7 , right parenthesis plus "y" times cos left parenthesis, 0.7 , right parenthesis plus 11 , right parenthesis squared Over 3.7 squared , EndFraction equals 1 left brace, "y" less than or equal to negative 10 , right bracex·cos−1.1+y·sin0.7+422.32+−x·sin0.7+y·cos0.7+1123.72=1y≤−10
42
Espressione 43: StartFraction, left parenthesis, "x" times cos left parenthesis, negative 1.1 , right parenthesis plus "y" times sin left parenthesis, 0.7 , right parenthesis plus 4 , right parenthesis squared Over 2.3 squared , EndFraction plus StartFraction, left parenthesis, negative "x" times sin left parenthesis, 0.7 , right parenthesis plus "y" times cos left parenthesis, 0.7 , right parenthesis plus 11 , right parenthesis squared Over 3.7 squared , EndFraction equals 1 left brace, "x" greater than or equal to 6.7 , right bracex·cos−1.1+y·sin0.7+422.32+−x·sin0.7+y·cos0.7+1123.72=1x≥6.7
43
Espressione 44: left parenthesis, StartFraction, left parenthesis, "x" times cos left parenthesis, 1.7 , right parenthesis plus "y" times sin left parenthesis, 0.8 , right parenthesis plus 6.5 , right parenthesis squared Over 2.3 squared , EndFraction plus StartFraction, left parenthesis, negative "x" sin left parenthesis, 1.7 , right parenthesis plus "y" cos left parenthesis, 1.6 , right parenthesis plus negative 5 , right parenthesis squared Over 3.7 squared , EndFraction , right parenthesis equals 1 left brace, "y" less than or equal to negative 10 , right bracex·cos1.7+y·sin0.8+6.522.32+−xsin1.7+ycos1.6+−523.72=1y≤−10
44
Espressione 45: left parenthesis, StartFraction, left parenthesis, "x" times cos left parenthesis, 1.7 , right parenthesis plus "y" times sin left parenthesis, 0.8 , right parenthesis plus 6.5 , right parenthesis squared Over 2.3 squared , EndFraction plus StartFraction, left parenthesis, negative "x" sin left parenthesis, 1.7 , right parenthesis plus "y" cos left parenthesis, 1.6 , right parenthesis plus negative 5 , right parenthesis squared Over 3.7 squared , EndFraction , right parenthesis equals 1 left brace, "x" less than or equal to negative 6.7 , right bracex·cos1.7+y·sin0.8+6.522.32+−xsin1.7+ycos1.6+−523.72=1x≤−6.7
45
Espressione 46: left parenthesis, StartFraction, left parenthesis, "x" times cos left parenthesis, 1 , right parenthesis plus "y" times sin left parenthesis, "e" , right parenthesis minus 3 , right parenthesis squared Over 2.2 squared , EndFraction plus StartFraction, left parenthesis, negative "x" times sin left parenthesis, 3.1 , right parenthesis plus "y" times cos left parenthesis, 1 , right parenthesis plus 3 , right parenthesis squared Over 1.6 squared , EndFraction , right parenthesis equals 1 left brace, "x" greater than or equal to 9.8 , right bracex·cos1+y·sine−322.22+−x·sin3.1+y·cos1+321.62=1x≥9.8
46
Espressione 47: left parenthesis, StartFraction, left parenthesis, negative "x" times negative cos left parenthesis, 1 , right parenthesis minus "y" times sin left parenthesis, "e" , right parenthesis plus 3 , right parenthesis squared Over 2.2 squared , EndFraction plus StartFraction, left parenthesis, negative "x" times sin left parenthesis, 3.1 , right parenthesis minus "y" times cos left parenthesis, 1 , right parenthesis minus 3 , right parenthesis squared Over 1.6 squared , EndFraction , right parenthesis equals 1 left brace, "x" less than or equal to negative 9.8 , right brace−x·−cos1−y·sine+322.22+−x·sin3.1−y·cos1−321.62=1x≤−9.8
47
Espressione 48: left parenthesis, StartFraction, left parenthesis, "x" times cos left parenthesis, 1 , right parenthesis plus "y" times sin left parenthesis, "e" , right parenthesis minus 3 , right parenthesis squared Over 2.2 squared , EndFraction plus StartFraction, left parenthesis, negative "x" times sin left parenthesis, 3.1 , right parenthesis plus "y" times cos left parenthesis, 1 , right parenthesis plus 3 , right parenthesis squared Over 1.6 squared , EndFraction , right parenthesis equals 1 left brace, "y" less than or equal to negative 6.7 , right bracex·cos1+y·sine−322.22+−x·sin3.1+y·cos1+321.62=1y≤−6.7
48
Espressione 49: left parenthesis, StartFraction, left parenthesis, negative "x" times negative cos left parenthesis, 1 , right parenthesis minus "y" times sin left parenthesis, "e" , right parenthesis plus 3 , right parenthesis squared Over 2.2 squared , EndFraction plus StartFraction, left parenthesis, negative "x" times sin left parenthesis, 3.1 , right parenthesis minus "y" times cos left parenthesis, 1 , right parenthesis minus 3 , right parenthesis squared Over 1.6 squared , EndFraction , right parenthesis equals 1 left brace, "y" less than or equal to negative 6.7 , right brace−x·−cos1−y·sine+322.22+−x·sin3.1−y·cos1−321.62=1y≤−6.7
49
50
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Esempi
Rette: forma esplicita
esempio
Rette: equazione per un punto
esempio
Rette: equazione per due punti
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Parabole: equazione standard
esempio
Parabole: equazione al vertice
esempio
Parabole: equazione standard + tangente
esempio
Trigonometria: periodo e ampiezza
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Trigonometria: fase
esempio
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
esempio
Sezioni coniche: ellisse e fuochi
esempio
Sezioni coniche: iperbole
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Coordinate polari: rodonea
esempio
Coordinate polari: spirale logaritmica
esempio
Coordinate polari: chiocciola di Pascal
esempio
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
esempio
Statistica: regressione lineare
esempio
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
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