Uttryck 16: "s" equals 0.5 times StartRoot, left parenthesis, "x" Subscript, 0 , Baseline minus "x" Subscript, 3 , Baseline , right parenthesis squared plus left parenthesis, "y" Subscript, 0 , Baseline minus "y" Subscript, 3 , Baseline , right parenthesis squared , EndRoots=0.5·x0−x32+y0−y32
equals=
4.7 0 5 8 8 1 6 6 5 5 34.70588166553
16
Draw Circles around Start/End
17
Uttryck 18: left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis squared plus left parenthesis, "y" minus "y" Subscript, 0 , Baseline , right parenthesis squared equals "s" squaredx−x02+y−y02=s2
18
Uttryck 19: left parenthesis, "x" minus "x" Subscript, 3 , Baseline , right parenthesis squared plus left parenthesis, "y" minus "y" Subscript, 3 , Baseline , right parenthesis squared equals "s" squaredx−x32+y−y32=s2
19
Draw Lines Connecting the Bezier Points
20
Uttryck 21: left parenthesis, left parenthesis, 1 minus "t" , right parenthesis "x" Subscript, 0 , Baseline plus "t" "x" Subscript, 1 , Baseline , left parenthesis, 1 minus "t" , right parenthesis "y" Subscript, 0 , Baseline plus "t" "y" Subscript, 1 , Baseline , right parenthesis1−tx0+tx1,1−ty0+ty1
domän t minimum: 00
less than or equal to "t" less than or equal to≤t≤
domän t maximum: 11
21
Uttryck 22: left parenthesis, left parenthesis, 1 minus "t" , right parenthesis "x" Subscript, 1 , Baseline plus "t" "x" Subscript, 2 , Baseline , left parenthesis, 1 minus "t" , right parenthesis "y" Subscript, 1 , Baseline plus "t" "y" Subscript, 2 , Baseline , right parenthesis1−tx1+tx2,1−ty1+ty2
domän t minimum: 00
less than or equal to "t" less than or equal to≤t≤
domän t maximum: 11
22
Uttryck 23: left parenthesis, left parenthesis, 1 minus "t" , right parenthesis "x" Subscript, 2 , Baseline plus "t" "x" Subscript, 3 , Baseline , left parenthesis, 1 minus "t" , right parenthesis "y" Subscript, 2 , Baseline plus "t" "y" Subscript, 3 , Baseline , right parenthesis1−tx2+tx3,1−ty2+ty3
domän t minimum: 00
less than or equal to "t" less than or equal to≤t≤
domän t maximum: 11
23
Uttryck 24: left parenthesis, left parenthesis, 1 minus "t" , right parenthesis left parenthesis, left parenthesis, 1 minus "t" , right parenthesis "x" Subscript, 0 , Baseline plus "t" "x" Subscript, 1 , Baseline , right parenthesis plus "t" left parenthesis, left parenthesis, 1 minus "t" , right parenthesis "x" Subscript, 1 , Baseline plus "t" "x" Subscript, 2 , Baseline , right parenthesis , left parenthesis, 1 minus "t" , right parenthesis left parenthesis, left parenthesis, 1 minus "t" , right parenthesis "y" Subscript, 0 , Baseline plus "t" "y" Subscript, 1 , Baseline , right parenthesis plus "t" left parenthesis, left parenthesis, 1 minus "t" , right parenthesis "y" Subscript, 1 , Baseline plus "t" "y" Subscript, 2 , Baseline , right parenthesis , right parenthesis1−t1−tx0+tx1+t1−tx1+tx2,1−t1−ty0+ty1+t1−ty1+ty2
domän t minimum: 00
less than or equal to "t" less than or equal to≤t≤
domän t maximum: 11
24
Uttryck 25: left parenthesis, left parenthesis, 1 minus "t" , right parenthesis left parenthesis, left parenthesis, 1 minus "t" , right parenthesis "x" Subscript, 1 , Baseline plus "t" "x" Subscript, 2 , Baseline , right parenthesis plus "t" left parenthesis, left parenthesis, 1 minus "t" , right parenthesis "x" Subscript, 2 , Baseline plus "t" "x" Subscript, 3 , Baseline , right parenthesis , left parenthesis, 1 minus "t" , right parenthesis left parenthesis, left parenthesis, 1 minus "t" , right parenthesis "y" Subscript, 1 , Baseline plus "t" "y" Subscript, 2 , Baseline , right parenthesis plus "t" left parenthesis, left parenthesis, 1 minus "t" , right parenthesis "y" Subscript, 2 , Baseline plus "t" "y" Subscript, 3 , Baseline , right parenthesis , right parenthesis1−t1−tx1+tx2+t1−tx2+tx3,1−t1−ty1+ty2+t1−ty2+ty3
domän t minimum: 00
less than or equal to "t" less than or equal to≤t≤
domän t maximum: 11
25
Draw the Curve itself
26
Uttryck 27: left parenthesis, left parenthesis, 1 minus "t" , right parenthesis left parenthesis, left parenthesis, 1 minus "t" , right parenthesis left parenthesis, left parenthesis, 1 minus "t" , right parenthesis "x" Subscript, 0 , Baseline plus "t" "x" Subscript, 1 , Baseline , right parenthesis plus "t" left parenthesis, left parenthesis, 1 minus "t" , right parenthesis "x" Subscript, 1 , Baseline plus "t" "x" Subscript, 2 , Baseline , right parenthesis , right parenthesis plus "t" left parenthesis, left parenthesis, 1 minus "t" , right parenthesis left parenthesis, left parenthesis, 1 minus "t" , right parenthesis "x" Subscript, 1 , Baseline plus "t" "x" Subscript, 2 , Baseline , right parenthesis plus "t" left parenthesis, left parenthesis, 1 minus "t" , right parenthesis "x" Subscript, 2 , Baseline plus "t" "x" Subscript, 3 , Baseline , right parenthesis , right parenthesis , left parenthesis, 1 minus "t" , right parenthesis left parenthesis, left parenthesis, 1 minus "t" , right parenthesis left parenthesis, left parenthesis, 1 minus "t" , right parenthesis "y" Subscript, 0 , Baseline plus "t" "y" Subscript, 1 , Baseline , right parenthesis plus "t" left parenthesis, left parenthesis, 1 minus "t" , right parenthesis "y" Subscript, 1 , Baseline plus "t" "y" Subscript, 2 , Baseline , right parenthesis , right parenthesis plus "t" left parenthesis, left parenthesis, 1 minus "t" , right parenthesis left parenthesis, left parenthesis, 1 minus "t" , right parenthesis "y" Subscript, 1 , Baseline plus "t" "y" Subscript, 2 , Baseline , right parenthesis plus "t" left parenthesis, left parenthesis, 1 minus "t" , right parenthesis "y" Subscript, 2 , Baseline plus "t" "y" Subscript, 3 , Baseline , right parenthesis , right parenthesis , right parenthesis1−t1−t1−tx0+tx1+t1−tx1+tx2+t1−t1−tx1+tx2+t1−tx2+tx3,1−t1−t1−ty0+ty1+t1−ty1+ty2+t1−t1−ty1+ty2+t1−ty2+ty3
domän t minimum: 00
less than or equal to "t" less than or equal to≤t≤
domän t maximum: 11
27
28
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
