Expression 27: StartFraction, "f" prime left parenthesis, "x" Subscript, 1 , Baseline , right parenthesis Over "f" left parenthesis, "x" Subscript, 1 , Baseline , right parenthesis , EndFractionf′x1fx1
equals=
0.1 8 2 0 1 6 1 9 3 1 1 20.182016193112
27
Acceleration
28
Expression 29: "f" prime prime left parenthesis, "x" Subscript, 1 , Baseline , right parenthesisf′′x1
equals=
negative 0.5 4 1 3 4 5 7 5 9 6 8 9−0.541345759689
29
Acceleration for f ( x₂ ) = M / 2
30
Expression 31: "f" prime prime left parenthesis, "x" Subscript, 2 , Baseline , right parenthesisf′′x2
equals=
00
31
idet x₂ fås sådan:
32
Expression 33: StartFraction, "M" Over 2 , EndFraction equals StartFraction, "M" Over 1 plus "c" "e" Superscript, negative "a" "M" "x" Subscript, 2 , Baseline , Baseline , EndFractionM2=M1+ce−aMx2
33
Expression 34: 2 equals 1 plus "c" "e" Superscript, negative "a" "M" "x" Subscript, 2 , Baseline , Baseline2=1+ce−aMx2
34
Expression 35: natural log StartFraction, 1 Over "c" , EndFraction equals negative "a" "M" "x" Subscript, 2 , Baselineln1c=−aMx2
35
Expression 36: "x" Subscript, 2 , Baseline equals StartFraction, negative ln StartNestedFraction, 1 NestedOver "c" , EndNestedFraction Over "a" "M" , EndFractionx2=−ln1caM
equals=
0.5 4 9 3 0 6 1 4 4 3 3 40.549306144334
36
Expression 37: "f" left parenthesis, "x" Subscript, 2 , Baseline , right parenthesisfx2
equals=
11
37
Punkter
Hide this folder from students.
38
`\textcolor{black}{(\ ${x_{et}}\ ;\ ${f_{x1}}\ )}` left parenthesis, "x" Subscript, 1 , Baseline , "f" left parenthesis, "x" Subscript, 1 , Baseline , right parenthesis , right parenthesisx1,fx1
Label:
equals=
left parenthesis, 1.7 , 1.8 1 7 9 8 3 8 1 , right parenthesis1.7,1.81798381
39
`\textcolor{black}{{y_0} = ${d}}` left parenthesis, 0 , "y" Subscript, 0 , Baseline , right parenthesis0,y0
Label:
equals=
left parenthesis, 0 , 0.5 , right parenthesis0,0.5
f ' ( x₁ ) er voksende, da f ' ' ( x₁ ) = ${j} left parenthesis, left brace, 0 less than "y" Subscript, 0 , Baseline less than "M" , right brace left brace, "f" prime prime left parenthesis, "x" Subscript, 1 , Baseline , right parenthesis greater than 0 , right brace StartAbsoluteValue, 2.2 5 , EndAbsoluteValue , negative 0.2 7 , right parenthesis0<y0<Mf′′x1>02.25,−0.27
Label:
undefined
42
f ' ( x₁ ) er aftagende, da f ' ' ( x₁ ) = ${j} left parenthesis, left brace, 0 less than "y" Subscript, 0 , Baseline less than "M" , right brace left brace, "f" prime prime left parenthesis, "x" Subscript, 1 , Baseline , right parenthesis less than 0 , right brace StartAbsoluteValue, 2.2 5 , EndAbsoluteValue , negative 0.2 7 , right parenthesis0<y0<Mf′′x1<02.25,−0.27
Label:
equals=
left parenthesis, 2.2 5 , negative 0.2 7 , right parenthesis2.25,−0.27
43
Expression 44: "j" equals "f" prime prime left parenthesis, "x" Subscript, 1 , Baseline , right parenthesisj=f′′x1
equals=
negative 0.5 4 1 3 4 5 7 5 9 6 8 9−0.541345759689
44
`\textcolor{black}{M = ${M}}` left parenthesis, 0 , "M" , right parenthesis0,M
Label:
equals=
left parenthesis, 0 , 2 , right parenthesis0,2
45
`\textcolor{black}{(\ ${x_{to}}\ ;\ ${f_{x2}}\ )}` left parenthesis, "x" Subscript, 2 , Baseline , "f" left parenthesis, "x" Subscript, 2 , Baseline , right parenthesis , right parenthesisx2,fx2
Label:
equals=
left parenthesis, 0.5 4 9 3 0 6 1 4 , 1 , right parenthesis0.54930614,1
46
Expression 47: "x" Subscript, "e" "t" , Baseline equals StartFraction, round left parenthesis, 10 squared "x" Subscript, 1 , Baseline , right parenthesis Over 10 squared , EndFractionxet=round102x1102
equals=
1.71.7
47
Expression 48: "x" Subscript, "t" "o" , Baseline equals StartFraction, round left parenthesis, 10 squared "x" Subscript, 2 , Baseline , right parenthesis Over 10 squared , EndFractionxto=round102x2102
equals=
0.5 50.55
48
Expression 49: "f" Subscript, "x" 1 , Baseline equals StartFraction, round left parenthesis, 10 squared "f" left parenthesis, "x" Subscript, 1 , Baseline , right parenthesis , right parenthesis Over 10 squared , EndFractionfx1=round102fx1102
equals=
1.8 21.82
49
Expression 50: "f" Subscript, "x" 2 , Baseline equals "f" left parenthesis, "x" Subscript, 2 , Baseline , right parenthesisfx2=fx2
