Uttryck 30: "n" Subscript, "x" , Baseline left parenthesis, "x" , right parenthesis equals floor left parenthesis, StartFraction, "x" minus "a" Over "d" Subscript, "x" , Baseline , EndFraction , right parenthesisnxx=floorx−adx
30
Uttryck 31: 0 less than or equal to "y" less than or equal to "f" left parenthesis, "s" Subscript, "x" , Baseline left parenthesis, "x" , right parenthesis , right parenthesis0≤y≤fsxx
31
Uttryck 32: "f" left parenthesis, "s" Subscript, "x" , Baseline left parenthesis, "x" , right parenthesis , right parenthesis less than or equal to "y" less than or equal to 0fsxx≤y≤0
32
Uttryck 33: "s" Subscript, "x" , Baseline left parenthesis, "x" , right parenthesis equals left brace, "a" less than or equal to "x" less than or equal to "b" : "s" left parenthesis, "n" Subscript, "x" , Baseline left parenthesis, "x" , right parenthesis , right parenthesis , right bracesxx=a≤x≤b:snxx
33
Rektanglernes højder etc.
Göm denna mapp från elever.
34
Hvis for eksempel:
35
Uttryck 36: "n" Subscript, 1 , Baseline equals 475n1=475
00
599599
36
så er:
37
Uttryck 38: "f" left parenthesis, "s" left parenthesis, "n" Subscript, 1 , Baseline , right parenthesis left brace, "b" greater than "a" , right brace , right parenthesisfsn1b>a
equals=
1.7 2 7 6 4 5 4 4 8 7 81.72764544878
38
= højden af rektangel nummer:
39
Uttryck 40: "n" Subscript, 1 , Baseline left brace, "b" greater than "a" , right bracen1b>a
equals=
475475
40
da 1. rektangels nummer er 0.
41
Stiplet vandret linje:
42
Uttryck 43: "y" equals "f" left parenthesis, "s" left parenthesis, "n" Subscript, 1 , Baseline , right parenthesis left brace, "b" greater than "a" , right brace , right parenthesisy=fsn1b>a
equals=
1.7 2 7 6 4 5 4 4 8 7 81.72764544878
43
Rektangelnummerets x-værdi:
44
Uttryck 45: "s" left parenthesis, "n" Subscript, 1 , Baseline left brace, "b" greater than "a" , right brace , right parenthesissn1b>a
equals=
negative 0.4 1 5−0.415
45
Stiplet lodret linje:
46
Uttryck 47: "x" equals "s" left parenthesis, "n" Subscript, 1 , Baseline left brace, "b" greater than "a" , right brace , right parenthesisx=sn1b>a
equals=
negative 0.4 1 5−0.415
47
Uttryck 48: left parenthesis, "s" left parenthesis, "n" Subscript, 1 , Baseline , right parenthesis , "f" left parenthesis, "s" left parenthesis, "n" Subscript, 1 , Baseline , right parenthesis , right parenthesis minus "f" left parenthesis, "s" left parenthesis, "n" Subscript, 1 , Baseline , right parenthesis , right parenthesis "t" , right parenthesissn1,fsn1−fsn1t
00
domän t minimum:
less than or equal to "t" less than or equal to≤t≤
11
domän t maximum:
48
Punkter
Göm denna mapp från elever.
49
`A_{rea}=\int_a^bf\ \left(\ x\ \right)\ dx\ =\ ${A_{rea}}` left parenthesis, negative 2.8 , 7 , right parenthesis−2.8,7
Etikett:
50
Gömd Etikett: left parenthesis, "s" left parenthesis, "n" Subscript, 1 , Baseline , right parenthesis , "f" left parenthesis, "s" left parenthesis, "n" Subscript, 1 , Baseline , right parenthesis , right parenthesis , right parenthesissn1,fsn1
Etikett
equals=
left parenthesis, negative 0.4 1 5 , 1.7 2 7 6 4 5 4 5 , right parenthesis−0.415,1.72764545
51
`\textcolor{black}{REKTANGEL\ ${R_n}= ${F_sn1}}` left parenthesis, "s" left parenthesis, "n" Subscript, 1 , Baseline , right parenthesis , "f" left parenthesis, "s" left parenthesis, "n" Subscript, 1 , Baseline , right parenthesis , right parenthesis , right parenthesissn1,fsn1
Etikett:
equals=
left parenthesis, negative 0.4 1 5 , 1.7 2 7 6 4 5 4 5 , right parenthesis−0.415,1.72764545
52
Uttryck 53: "R" Subscript, "n" , Baseline equals "n" Subscript, 1 , Baseline left brace, "b" greater than "a" , right braceRn=n1b>a
equals=
475475
53
Uttryck 54: "F" Subscript, "s" "n" 1 , Baseline equals "f" left parenthesis, "s" left parenthesis, "n" Subscript, 1 , Baseline , right parenthesis left brace, "b" greater than "a" , right brace , right parenthesisFsn1=fsn1b>a
equals=
1.7 2 7 6 4 5 4 4 8 7 81.72764544878
54
Gömd Etikett: left parenthesis, "a" , negative 1 , right parenthesisa,−1
Etikett
equals=
left parenthesis, negative 2 , negative 1 , right parenthesis−2,−1
55
`\textcolor{black}{a = ${a}}` left parenthesis, "a" , negative 1 , right parenthesisa,−1
Etikett:
equals=
left parenthesis, negative 2 , negative 1 , right parenthesis−2,−1
56
Uttryck 57: left parenthesis, "a" plus left bracket, negative 1 , 1 , right bracket StartFraction, "t" Over 10 , EndFraction , negative 1 , right parenthesisa+−1,1t10,−1
00
domän t minimum:
less than or equal to "t" less than or equal to≤t≤
11
domän t maximum:
57
Gömd Etikett: left parenthesis, "b" , negative 1 , right parenthesisb,−1
Etikett
equals=
left parenthesis, 0 , negative 1 , right parenthesis0,−1
58
`\textcolor{black}{b = ${b}}` left parenthesis, "b" , negative 1 , right parenthesisb,−1
Etikett:
equals=
left parenthesis, 0 , negative 1 , right parenthesis0,−1
59
Uttryck 60: left parenthesis, "b" plus left bracket, negative 1 , 1 , right bracket StartFraction, "t" Over 10 , EndFraction , negative 1 , right parenthesisb+−1,1t10,−1
00
domän t minimum:
less than or equal to "t" less than or equal to≤t≤
11
domän t maximum:
60
61
driven av
driven av
"A" Subscript, "r" "e" "a" , Baseline equals Start integral from "a" to "b" , end integral, "f" left parenthesis, "x" , right parenthesis "d" "x" equals 1.9 9 5 0 4 2 5Area=∫bafxdx=1.9950425
Start black, "R" "E" "K" "T" "A" "N" "G" "E" "L" 475 equals 1.7 2 7 6 4 5 4 End blackREKTANGEL475=1.7276454
Start black, "a" equals negative 2 End blacka=−2
Start black, "b" equals 0 End blackb=0
"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