Avaldis 21: "x" less than or equal to 1 minus left parenthesis, .4 , right parenthesis StartFraction, left parenthesis, "y" , right parenthesis squared Over left parenthesis, "c" Subscript, "i" "r" "c" , Baseline left parenthesis, 1.2 7 0 6 3 , right parenthesis . "y" , right parenthesis squared , EndFraction left brace, "x" greater than or equal to "c" Subscript, "i" "r" "c" , Baseline left parenthesis, 1.2 7 0 6 3 , right parenthesis . "x" , right bracex≤1−.4y2circ1.27063.y2x≥circ1.27063.x
21
Avaldis 22: "p" left parenthesis, "x" , "y" , "z" , right parenthesis equals Start sum from "n" equals 1 to length left parenthesis, "z" , right parenthesis , end sum, "z" left bracket, "n" , right bracket "l" Subscript, 1 , Baseline left parenthesis, "x" , "y" , "n" , right parenthesispx,y,z=lengthz∑n=1znl1x,y,n
22
Avaldis 23: "l" Subscript, 1 , Baseline left parenthesis, "x" , "y" , "z" , right parenthesis equals left parenthesis, Start product from "i" equals 1 to "z" minus 1, end product, StartFraction, left parenthesis, "x" minus "y" left bracket, "i" , right bracket , right parenthesis Over left parenthesis, "y" left bracket, "z" , right bracket minus "y" left bracket, "i" , right bracket , right parenthesis , EndFraction , right parenthesis times left parenthesis, Start product from "i" equals "z" plus 1 to length left parenthesis, "y" , right parenthesis , end product, StartFraction, left parenthesis, "x" minus "y" left bracket, "i" , right bracket , right parenthesis Over "y" left bracket, "z" , right bracket minus "y" left bracket, "i" , right bracket , EndFraction , right parenthesisl1x,y,z=z−1∏i=1x−yiyz−yi·lengthy∏i=z+1x−yiyz−yi
23
Avaldis 24:
24
Avaldis 25: cosine to the negative 1st power left parenthesis, negative .4 9 2 8 times .6 , right parenthesiscos−1−.4928·.6
equals=
1.8 7 0 9 6 3 5 9 5 0 61.87096359506
25
Avaldis 26: negative co tangent left parenthesis, 1.8 7 1 , right parenthesis−cot1.871
equals=
0.3 0 9 5 5 9 4 2 6 1 4 70.309559426147
26
Avaldis 27:
27
Avaldis 28:
28
Avaldis 29: "f" Subscript, "x" , Baseline left parenthesis, "x" , "y" , right parenthesis equals StartFraction, negative StartNestedFraction, "d" NestedOver "d" "x" , EndNestedFraction left parenthesis, "f" left parenthesis, "x" , "y" , right parenthesis , right parenthesis Over StartNestedFraction, "d" NestedOver "d" "y" , EndNestedFraction left parenthesis, "f" left parenthesis, "x" , "y" , right parenthesis , right parenthesis , EndFractionfxx,y=−ddxfx,yddyfx,y
29
Avaldis 30: "f" Subscript, "x" "x" , Baseline left parenthesis, "x" , "y" , right parenthesis equals negative 1 times StartFraction, "d" Subscript, "o" "t" , Baseline left parenthesis, left parenthesis, 1 , "f" Subscript, "x" , Baseline left parenthesis, "x" , "y" , right parenthesis , right parenthesis , left parenthesis, StartNestedFraction, "d" NestedOver "d" "x" , EndNestedFraction left parenthesis, StartNestedFraction, "d" NestedOver "d" "x" , EndNestedFraction left parenthesis, "f" left parenthesis, "x" , "y" , right parenthesis , right parenthesis , right parenthesis , StartNestedFraction, "d" NestedOver "d" "y" , EndNestedFraction left parenthesis, StartNestedFraction, "d" NestedOver "d" "x" , EndNestedFraction left parenthesis, "f" left parenthesis, "x" , "y" , right parenthesis , right parenthesis , right parenthesis , right parenthesis , right parenthesis times StartNestedFraction, "d" NestedOver "d" "y" , EndNestedFraction left parenthesis, "f" left parenthesis, "x" , "y" , right parenthesis , right parenthesis minus left parenthesis, "d" Subscript, "o" "t" , Baseline left parenthesis, left parenthesis, 1 , "f" Subscript, "x" , Baseline left parenthesis, "x" , "y" , right parenthesis , right parenthesis , left parenthesis, StartNestedFraction, "d" NestedOver "d" "x" , EndNestedFraction left parenthesis, StartNestedFraction, "d" NestedOver "d" "y" , EndNestedFraction left parenthesis, "f" left parenthesis, "x" , "y" , right parenthesis , right parenthesis , right parenthesis , StartNestedFraction, "d" NestedOver "d" "y" , EndNestedFraction left parenthesis, StartNestedFraction, "d" NestedOver "d" "y" , EndNestedFraction left parenthesis, "f" left parenthesis, "x" , "y" , right parenthesis , right parenthesis , right parenthesis , right parenthesis , right parenthesis , right parenthesis times StartNestedFraction, "d" NestedOver "d" "x" , EndNestedFraction left parenthesis, "f" left parenthesis, "x" , "y" , right parenthesis , right parenthesis Over left parenthesis, StartNestedFraction, "d" NestedOver "d" "y" , EndNestedFraction left parenthesis, "f" left parenthesis, "x" , "y" , right parenthesis , right parenthesis , right parenthesis squared , EndFractionfxxx,y=−1·dot1,fxx,y,ddxddxfx,y,ddyddxfx,y·ddyfx,y−dot1,fxx,y,ddxddyfx,y,ddyddyfx,y·ddxfx,yddyfx,y2
30
Avaldis 31:
31
Avaldis 32:
32
Avaldis 33: "d" Subscript, "o" "t" , Baseline left parenthesis, phi , "q" , right parenthesis equals left parenthesis, phi . "x" times "q" . "x" plus "q" . "y" times phi . "y" , right parenthesisdotϕ,q=ϕ.x·q.x+q.y·ϕ.y
33
Avaldis 34: "b" equals 46.5 plus 0b=46.5+0
equals=
46.546.5
34
Avaldis 35: "c" equals 3.5 plus 0c=3.5+0
equals=
3.53.5
35
Avaldis 36: "d" equals 1.5 plus 0d=1.5+0
equals=
1.51.5
36
Avaldis 37: "l" left parenthesis, "x" , right parenthesis equals left brace, 2 less than or equal to "x" : "x" minus StartFraction, 1 Over "x" , EndFraction , right bracelx=2≤x:x−1x
37
Avaldis 38: "l" left parenthesis, "e" , right parenthesisle
equals=
2.3 5 0 4 0 2 3 8 7 2 92.35040238729
38
Avaldis 39: "l" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis equals 1.5 plus StartFraction, StartNestedFraction, left parenthesis, 1 plus StartRoot, 5 , EndRoot , right parenthesis NestedOver 2 , EndNestedFraction minus 1.5 Over negative 1 , EndFraction left parenthesis, "x" minus 2 , right parenthesisl2x=1.5+1+52−1.5−1x−2
39
Avaldis 40:
40
Avaldis 41: StartRoot, 2 , EndRoot left parenthesis, sinh left parenthesis, 1 , right parenthesis , right parenthesis Superscript, .5 , Baseline2sinh1.5
