Tick Action: "r" Subscript, "e" "a" "l" "T" "i" "m" "e" , Baseline to "r" Subscript, "e" "a" "l" "T" "i" "m" "e" , Baseline plus StartFraction, Over 1000 , EndFractionrealTime→realTime+dt1000
every
00
Min Step Time:
ms
Expression 114: "g" left parenthesis, "t" , right parenthesis equals "f" Subscript, "i" "n" "a" "l" , Baseline left parenthesis, StartFraction, negative 0.7 8 8 Over StartRoot, 1 plus left parenthesis, StartNestedFraction, 1 NestedOver "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, "x" Subscript, "z" , Baseline cos left parenthesis, "t" , right parenthesis plus "y" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis squared , EndRoot , EndFraction cos left parenthesis, "t" , right parenthesis , StartFraction, negative 0.7 8 8 Over StartRoot, 1 plus left parenthesis, StartNestedFraction, 1 NestedOver "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, "x" Subscript, "z" , Baseline cos left parenthesis, "t" , right parenthesis plus "y" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis squared , EndRoot , EndFraction sin left parenthesis, "t" , right parenthesis , StartFraction, 0.7 8 8 StartNestedFraction, 1 NestedOver "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, "x" Subscript, "z" , Baseline cos left parenthesis, "t" , right parenthesis plus "y" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis Over StartRoot, 1 plus left parenthesis, StartNestedFraction, 1 NestedOver "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, "x" Subscript, "z" , Baseline cos left parenthesis, "t" , right parenthesis plus "y" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis squared , EndRoot , EndFraction plus 0.2 9 8 , right parenthesisgt=final−0.7881+1zzxzcost+yzsint2cost,−0.7881+1zzxzcost+yzsint2sint,0.7881zzxzcost+yzsint1+1zzxzcost+yzsint2+0.298
114
a0 through f0 represent the piecewise parts that make up the flippers.
115
The flippers are also Moss's Eggs with different parameters.
116
Expression 117: "a" Subscript, 0 , Baseline left parenthesis, "t" , "s" , right parenthesis equals "f" Subscript, "i" "n" "a" "l" , Baseline left parenthesis, negative 0.2 times negative 0.4 StartFraction, 1 Over StartRoot, 1 plus left parenthesis, StartNestedFraction, 1 NestedOver 0.4 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, "y" Subscript, "z" , Baseline 0.4cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis squared , EndRoot , EndFraction sin left parenthesis, "t" , right parenthesis plus "s" , negative 0.2 times negative StartFraction, 1 Over StartRoot, 1 plus left parenthesis, StartNestedFraction, 1 NestedOver 0.4 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, "y" Subscript, "z" , Baseline 0.4cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis squared , EndRoot , EndFraction cos left parenthesis, "t" , right parenthesis , negative 0.2 times left parenthesis, StartFraction, StartNestedFraction, 1 NestedOver 0.4 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, "y" Subscript, "z" , Baseline 0.4cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis Over StartRoot, 1 plus left parenthesis, StartNestedFraction, 1 NestedOver 0.4 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, "y" Subscript, "z" , Baseline 0.4cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis squared , EndRoot , EndFraction minus 0.3 5 3 , right parenthesis minus 0.3 , right parenthesisa0t,s=final−0.2·−0.411+10.4zzyz0.4cost+xzsint2sint+s,−0.2·−11+10.4zzyz0.4cost+xzsint2cost,−0.2·10.4zzyz0.4cost+xzsint1+10.4zzyz0.4cost+xzsint2−0.353−0.3
117
Expression 118: "b" Subscript, 0 , Baseline left parenthesis, "t" , "s" , right parenthesis equals "f" Subscript, "i" "n" "a" "l" , Baseline left parenthesis, negative 0.2 times left parenthesis, negative StartFraction, 0.8 Over StartRoot, 1 plus left parenthesis, StartNestedFraction, 1 NestedOver 0.4 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, "y" Subscript, "z" , Baseline 0.4cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis squared , EndRoot , EndFraction plus 0.4 , right parenthesis sin left parenthesis, "t" , right parenthesis plus "s" , negative 0.2 times left parenthesis, negative StartFraction, 2 Over StartRoot, 1 plus left parenthesis, StartNestedFraction, 1 NestedOver 0.4 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, "y" Subscript, "z" , Baseline 0.4cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis squared , EndRoot , EndFraction plus 1 , right parenthesis cos left parenthesis, "t" , right parenthesis , negative 0.2 times left parenthesis, StartFraction, 2 left parenthesis, StartNestedFraction, 1 NestedOver 0.4 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, "y" Subscript, "z" , Baseline 0.4cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis Over StartRoot, 1 plus left parenthesis, StartNestedFraction, 1 NestedOver 0.4 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, "y" Subscript, "z" , Baseline 0.4cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis squared , EndRoot , EndFraction minus 0.3 5 3 , right parenthesis minus 0.3 , right parenthesisb0t,s=final−0.2·−0.81+10.4zzyz0.4cost+xzsint2+0.4sint+s,−0.2·−21+10.4zzyz0.4cost+xzsint2+1cost,−0.2·210.4zzyz0.4cost+xzsint1+10.4zzyz0.4cost+xzsint2−0.353−0.3
118
Expression 119: "c" Subscript, 0 , Baseline left parenthesis, "t" , "s" , right parenthesis equals "f" Subscript, "i" "n" "a" "l" , Baseline left parenthesis, negative 0.2 times StartFraction, negative 0.0 8 9 4 Over StartRoot, 1 plus left parenthesis, StartNestedFraction, 1 NestedOver 0.4 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, 0.4 "y" Subscript, "z" , Baseline cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis squared , EndRoot , EndFraction sin left parenthesis, "t" , right parenthesis plus "s" , negative 0.2 times StartFraction, negative 0.1 4 9 Over StartRoot, 1 plus left parenthesis, StartNestedFraction, 1 NestedOver 0.4 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, 0.4 "y" Subscript, "z" , Baseline cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis squared , EndRoot , EndFraction cos left parenthesis, "t" , right parenthesis , negative 0.2 times left parenthesis, StartFraction, 0.1 4 9 StartNestedFraction, 1 NestedOver 0.4 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, 0.4 "y" Subscript, "z" , Baseline cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis Over StartRoot, 1 plus left parenthesis, StartNestedFraction, 1 NestedOver 0.4 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, 0.4 "y" Subscript, "z" , Baseline cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis squared , EndRoot , EndFraction plus 1.2 0 4 , right parenthesis minus 0.3 , right parenthesisc0t,s=final−0.2·−0.08941+10.4zz0.4yzcost+xzsint2sint+s,−0.2·−0.1491+10.4zz0.4yzcost+xzsint2cost,−0.2·0.14910.4zz0.4yzcost+xzsint1+10.4zz0.4yzcost+xzsint2+1.204−0.3
119
Expression 120: "d" Subscript, 0 , Baseline left parenthesis, "t" , "s" , right parenthesis equals "f" Subscript, "i" "n" "a" "l" , Baseline left parenthesis, negative 0.2 times negative 0.6 StartFraction, 1 Over StartRoot, 1 plus left parenthesis, StartNestedFraction, 1 NestedOver 0.6 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, "y" Subscript, "z" , Baseline 0.6cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis squared , EndRoot , EndFraction sin left parenthesis, "t" , right parenthesis plus "s" , negative 0.2 times negative StartFraction, 1 Over StartRoot, 1 plus left parenthesis, StartNestedFraction, 1 NestedOver 0.6 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, "y" Subscript, "z" , Baseline 0.6cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis squared , EndRoot , EndFraction cos left parenthesis, "t" , right parenthesis , negative 0.2 times left parenthesis, StartFraction, StartNestedFraction, 1 NestedOver 0.6 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, "y" Subscript, "z" , Baseline 0.6cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis Over StartRoot, 1 plus left parenthesis, StartNestedFraction, 1 NestedOver 0.6 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, "y" Subscript, "z" , Baseline 0.6cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis squared , EndRoot , EndFraction minus 0.3 5 3 , right parenthesis minus 0.3 , right parenthesisd0t,s=final−0.2·−0.611+10.6zzyz0.6cost+xzsint2sint+s,−0.2·−11+10.6zzyz0.6cost+xzsint2cost,−0.2·10.6zzyz0.6cost+xzsint1+10.6zzyz0.6cost+xzsint2−0.353−0.3
120
Expression 121: "f" Subscript, 0 , Baseline left parenthesis, "t" , "s" , right parenthesis equals "f" Subscript, "i" "n" "a" "l" , Baseline left parenthesis, negative 0.2 times left parenthesis, negative StartFraction, 1.2 Over StartRoot, 1 plus left parenthesis, StartNestedFraction, 1 NestedOver 0.6 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, "y" Subscript, "z" , Baseline 0.6cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis squared , EndRoot , EndFraction plus 0.6 , right parenthesis sin left parenthesis, "t" , right parenthesis plus "s" , negative 0.2 times left parenthesis, negative StartFraction, 2 Over StartRoot, 1 plus left parenthesis, StartNestedFraction, 1 NestedOver 0.6 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, "y" Subscript, "z" , Baseline 0.6cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis squared , EndRoot , EndFraction plus 1 , right parenthesis cos left parenthesis, "t" , right parenthesis , negative 0.2 times left parenthesis, StartFraction, 2 left parenthesis, StartNestedFraction, 1 NestedOver 0.6 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, "y" Subscript, "z" , Baseline 0.6cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis Over StartRoot, 1 plus left parenthesis, StartNestedFraction, 1 NestedOver 0.6 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, "y" Subscript, "z" , Baseline 0.6cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis squared , EndRoot , EndFraction minus 0.3 5 3 , right parenthesis minus 0.3 , right parenthesisf0t,s=final−0.2·−1.21+10.6zzyz0.6cost+xzsint2+0.6sint+s,−0.2·−21+10.6zzyz0.6cost+xzsint2+1cost,−0.2·210.6zzyz0.6cost+xzsint1+10.6zzyz0.6cost+xzsint2−0.353−0.3
121
Expression 122: "g" Subscript, 0 , Baseline left parenthesis, "t" , "s" , right parenthesis equals "f" Subscript, "i" "n" "a" "l" , Baseline left parenthesis, negative 0.2 times StartFraction, negative 0.0 8 9 4 Over StartRoot, 1 plus left parenthesis, StartNestedFraction, 1 NestedOver 0.6 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, 0.6 "y" Subscript, "z" , Baseline cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis squared , EndRoot , EndFraction sin left parenthesis, "t" , right parenthesis plus "s" , negative 0.2 times StartFraction, negative 0.1 4 9 Over StartRoot, 1 plus left parenthesis, StartNestedFraction, 1 NestedOver 0.6 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, 0.6 "y" Subscript, "z" , Baseline cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis squared , EndRoot , EndFraction cos left parenthesis, "t" , right parenthesis , negative 0.2 times left parenthesis, StartFraction, 0.1 4 9 StartNestedFraction, 1 NestedOver 0.6 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, 0.6 "y" Subscript, "z" , Baseline cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis Over StartRoot, 1 plus left parenthesis, StartNestedFraction, 1 NestedOver 0.6 "z" Subscript, "z" , Baseline , EndNestedFraction left parenthesis, 0.6 "y" Subscript, "z" , Baseline cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis squared , EndRoot , EndFraction plus 1.2 0 4 , right parenthesis minus 0.3 , right parenthesisg0t,s=final−0.2·−0.08941+10.6zz0.6yzcost+xzsint2sint+s,−0.2·−0.1491+10.6zz0.6yzcost+xzsint2cost,−0.2·0.14910.6zz0.6yzcost+xzsint1+10.6zz0.6yzcost+xzsint2+1.204−0.3
122
Body
123
Expression 124: left brace, "t" less than or equal to pi : left brace, StartFraction, 1 Over "z" Subscript, "z" , Baseline , EndFraction left parenthesis, "x" Subscript, "z" , Baseline 0.6cos left parenthesis, "t" , right parenthesis plus "y" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis less than or equal to 0 : "a" left parenthesis, "t" , right parenthesis , StartFraction, 1 Over 0.6 "z" Subscript, "z" , Baseline , EndFraction left parenthesis, "x" Subscript, "z" , Baseline 0.6cos left parenthesis, "t" , right parenthesis plus "y" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis less than or equal to negative tan left parenthesis, negative 0.6 , right parenthesis : "b" left parenthesis, "t" , right parenthesis , "c" left parenthesis, "t" , right parenthesis , right brace , StartFraction, 1 Over "z" Subscript, "z" , Baseline , EndFraction left parenthesis, "x" Subscript, "z" , Baseline cos left parenthesis, "t" , right parenthesis plus "y" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis less than or equal to 0 : "d" left parenthesis, "t" , right parenthesis , StartFraction, 1 Over "z" Subscript, "z" , Baseline , EndFraction left parenthesis, "x" Subscript, "z" , Baseline cos left parenthesis, "t" , right parenthesis plus "y" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis less than or equal to negative tan left parenthesis, negative 0.6 , right parenthesis : "f" left parenthesis, "t" , right parenthesis , "g" left parenthesis, "t" , right parenthesis , right bracet≤π:1zzxz0.6cost+yzsint≤0:at,10.6zzxz0.6cost+yzsint≤−tan−0.6:bt,ct,1zzxzcost+yzsint≤0:dt,1zzxzcost+yzsint≤−tan−0.6:ft,gt
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 2 pi2π
124
Face
125
Hidden Label: left brace, "z" Subscript, "z" , Baseline greater than or equal to 0 , right brace left brace, "t" less than or equal to pi : left brace, negative tan left parenthesis, negative 0.6 , right parenthesis greater than or equal to StartFraction, 1 Over 0.6 "z" Subscript, "z" , Baseline , EndFraction left parenthesis, 0.6 "x" Subscript, "z" , Baseline cos left parenthesis, "t" , right parenthesis plus "y" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis : "f" Subscript, "i" "n" "a" "l" , Baseline left parenthesis, negative 0.6 5cos left parenthesis, "t" , right parenthesis , negative 0.3 9sin left parenthesis, "t" , right parenthesis , 0.7 4 3 , right parenthesis , "c" left parenthesis, "t" , right parenthesis , right brace , left brace, negative tan left parenthesis, negative 0.6 , right parenthesis greater than or equal to StartFraction, 1 Over "z" Subscript, "z" , Baseline , EndFraction left parenthesis, "x" Subscript, "z" , Baseline cos left parenthesis, "t" , right parenthesis plus "y" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis : "f" Subscript, "i" "n" "a" "l" , Baseline left parenthesis, negative 0.6 5cos left parenthesis, "t" , right parenthesis , negative 0.6 5sin left parenthesis, "t" , right parenthesis , 0.7 4 3 , right parenthesis , "g" left parenthesis, "t" , right parenthesis , right brace , right bracezz≥0t≤π:−tan−0.6≥10.6zz0.6xzcost+yzsint:final−0.65cost,−0.39sint,0.743,ct,−tan−0.6≥1zzxzcost+yzsint:final−0.65cost,−0.65sint,0.743,gt
Label
undefined
126
Hidden Label: left brace, "z" Subscript, "z" , Baseline less than or equal to 0 , right brace left brace, negative tan left parenthesis, negative 0.6 , right parenthesis greater than or equal to StartFraction, "x" Subscript, "z" , Baseline Over "z" Subscript, "z" , Baseline , EndFraction , right brace left brace, "t" less than or equal to pi : "c" left parenthesis, "t" , right parenthesis left brace, negative tan left parenthesis, negative 0.6 , right parenthesis less than or equal to StartFraction, 1 Over 0.6 "z" Subscript, "z" , Baseline , EndFraction left parenthesis, 0.6 "x" Subscript, "z" , Baseline cos left parenthesis, "t" , right parenthesis plus "y" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right brace , "t" less than or equal to 2 pi : "g" left parenthesis, "t" , right parenthesis left brace, negative tan left parenthesis, negative 0.6 , right parenthesis less than or equal to StartFraction, 1 Over "z" Subscript, "z" , Baseline , EndFraction left parenthesis, "x" Subscript, "z" , Baseline cos left parenthesis, "t" , right parenthesis plus "y" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis , right brace , "t" less than or equal to 3 pi : "f" Subscript, "i" "n" "a" "l" , Baseline left parenthesis, negative 0.6 5cos left parenthesis, 4 pi minus "t" , right parenthesis , negative 0.6 5sin left parenthesis, 4 pi minus "t" , right parenthesis , 0.7 4 3 , right parenthesis left brace, negative tan left parenthesis, negative 0.6 , right parenthesis less than or equal to StartFraction, 1 Over "z" Subscript, "z" , Baseline , EndFraction left parenthesis, "x" Subscript, "z" , Baseline cos left parenthesis, 4 pi minus "t" , right parenthesis plus "y" Subscript, "z" , Baseline sin left parenthesis, 4 pi minus "t" , right parenthesis , right parenthesis , right brace , "f" Subscript, "i" "n" "a" "l" , Baseline left parenthesis, negative 0.6 5cos left parenthesis, 4 pi minus "t" , right parenthesis , negative 0.3 9sin left parenthesis, 4 pi minus "t" , right parenthesis , 0.7 4 3 , right parenthesis left brace, negative tan left parenthesis, negative 0.6 , right parenthesis less than or equal to StartFraction, 1 Over 0.6 "z" Subscript, "z" , Baseline , EndFraction left parenthesis, 0.6 "x" Subscript, "z" , Baseline cos left parenthesis, 4 pi minus "t" , right parenthesis plus "y" Subscript, "z" , Baseline sin left parenthesis, 4 pi minus "t" , right parenthesis , right parenthesis , right brace , right bracezz≤0−tan−0.6≥xzzzt≤π:ct−tan−0.6≤10.6zz0.6xzcost+yzsint,t≤2π:gt−tan−0.6≤1zzxzcost+yzsint,t≤3π:final−0.65cos4π−t,−0.65sin4π−t,0.743−tan−0.6≤1zzxzcos4π−t+yzsin4π−t,final−0.65cos4π−t,−0.39sin4π−t,0.743−tan−0.6≤10.6zz0.6xzcos4π−t+yzsin4π−t
Label
undefined
127
Expression 128: left brace, "z" Subscript, "z" , Baseline less than or equal to 0 , right brace left brace, negative tan left parenthesis, negative 0.6 , right parenthesis less than or equal to StartFraction, "x" Subscript, "z" , Baseline Over "z" Subscript, "z" , Baseline , EndFraction , right brace left brace, "t" less than or equal to pi : "c" left parenthesis, pi minus "t" , right parenthesis left brace, negative tan left parenthesis, negative 0.6 , right parenthesis less than or equal to StartFraction, 1 Over 0.6 "z" Subscript, "z" , Baseline , EndFraction left parenthesis, 0.6 "x" Subscript, "z" , Baseline cos left parenthesis, pi minus "t" , right parenthesis plus "y" Subscript, "z" , Baseline sin left parenthesis, pi minus "t" , right parenthesis , right parenthesis , right brace , "t" less than or equal to 2 pi : "g" left parenthesis, pi minus "t" , right parenthesis left brace, negative tan left parenthesis, negative 0.6 , right parenthesis less than or equal to StartFraction, 1 Over "z" Subscript, "z" , Baseline , EndFraction left parenthesis, "x" Subscript, "z" , Baseline cos left parenthesis, pi minus "t" , right parenthesis plus "y" Subscript, "z" , Baseline sin left parenthesis, pi minus "t" , right parenthesis , right parenthesis , right brace , "t" less than or equal to 3 pi : "f" Subscript, "i" "n" "a" "l" , Baseline left parenthesis, negative 0.6 5cos left parenthesis, "t" minus 3 pi , right parenthesis , negative 0.6 5sin left parenthesis, "t" minus 3 pi , right parenthesis , 0.7 4 3 , right parenthesis left brace, negative tan left parenthesis, negative 0.6 , right parenthesis less than or equal to StartFraction, 1 Over "z" Subscript, "z" , Baseline , EndFraction left parenthesis, "x" Subscript, "z" , Baseline cos left parenthesis, "t" minus 3 pi , right parenthesis plus "y" Subscript, "z" , Baseline sin left parenthesis, "t" minus 3 pi , right parenthesis , right parenthesis , right brace , "f" Subscript, "i" "n" "a" "l" , Baseline left parenthesis, negative 0.6 5cos left parenthesis, "t" minus 3 pi , right parenthesis , negative 0.3 9sin left parenthesis, "t" minus 3 pi , right parenthesis , 0.7 4 3 , right parenthesis left brace, negative tan left parenthesis, negative 0.6 , right parenthesis less than or equal to StartFraction, 1 Over 0.6 "z" Subscript, "z" , Baseline , EndFraction left parenthesis, 0.6 "x" Subscript, "z" , Baseline cos left parenthesis, "t" minus 3 pi , right parenthesis plus "y" Subscript, "z" , Baseline sin left parenthesis, "t" minus 3 pi , right parenthesis , right parenthesis , right brace , right bracezz≤0−tan−0.6≤xzzzt≤π:cπ−t−tan−0.6≤10.6zz0.6xzcosπ−t+yzsinπ−t,t≤2π:gπ−t−tan−0.6≤1zzxzcosπ−t+yzsinπ−t,t≤3π:final−0.65cost−3π,−0.65sint−3π,0.743−tan−0.6≤1zzxzcost−3π+yzsint−3π,final−0.65cost−3π,−0.39sint−3π,0.743−tan−0.6≤10.6zz0.6xzcost−3π+yzsint−3π
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 4 pi4π
128
Eyes
129
Hidden Label: "f" Subscript, "i" "n" "a" "l" , Baseline left parenthesis, negative 0.4 6 4cos left parenthesis, StartFraction, 3 pi Over 2 , EndFraction minus 0.9 , right parenthesis , negative 0.4 6 4sin left parenthesis, StartFraction, 3 pi Over 2 , EndFraction minus 0.9 , right parenthesis , 1.0 5 , right parenthesis left brace, left brace, "t" Subscript, "i" "m" "e" , Baseline less than or equal to 0.7 4 : 1 , 0 , right brace plus left brace, 2.3 1 less than or equal to "t" Subscript, "i" "m" "e" , Baseline less than or equal to 4.0 6 : 1 , 0 , right brace plus left brace, 5.7 3 less than or equal to "t" Subscript, "i" "m" "e" , Baseline : 1 , 0 , right brace less than 1 , right bracefinal−0.464cos3π2−0.9,−0.464sin3π2−0.9,1.05time≤0.74:1,0+2.31≤time≤4.06:1,0+5.73≤time:1,0<1
Label
undefined
130
Hidden Label: "f" Subscript, "i" "n" "a" "l" , Baseline left parenthesis, negative 0.4 6 4cos left parenthesis, StartFraction, 3 pi Over 2 , EndFraction plus 0.9 , right parenthesis , negative 0.4 6 4sin left parenthesis, StartFraction, 3 pi Over 2 , EndFraction plus 0.9 , right parenthesis , 1.0 5 , right parenthesis left brace, left brace, "t" Subscript, "i" "m" "e" , Baseline less than or equal to 0.9 2 : 1 , 0 , right brace plus left brace, 2.6 less than or equal to "t" Subscript, "i" "m" "e" , Baseline less than or equal to 3.8 7 : 1 , 0 , right brace plus left brace, 5.4 4 less than or equal to "t" Subscript, "i" "m" "e" , Baseline : 1 , 0 , right brace less than 1 , right bracefinal−0.464cos3π2+0.9,−0.464sin3π2+0.9,1.05time≤0.92:1,0+2.6≤time≤3.87:1,0+5.44≤time:1,0<1
Label
undefined
131
Flippers
132
Hidden Label: left brace, "t" less than or equal to pi : left brace, StartFraction, 1 Over "z" Subscript, "z" , Baseline , EndFraction left parenthesis, "y" Subscript, "z" , Baseline 0.6cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis less than or equal to 0 : "d" Subscript, 0 , Baseline left parenthesis, "t" , 1.0 5 , right parenthesis , StartFraction, 1 Over 0.6 "z" Subscript, "z" , Baseline , EndFraction left parenthesis, "y" Subscript, "z" , Baseline 0.6cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis less than or equal to negative tan left parenthesis, negative 1 , right parenthesis : "f" Subscript, 0 , Baseline left parenthesis, "t" , 1.0 5 , right parenthesis , "g" Subscript, 0 , Baseline left parenthesis, "t" , 1.0 5 , right parenthesis , right brace , StartFraction, 1 Over "z" Subscript, "z" , Baseline , EndFraction left parenthesis, 0.4 "y" Subscript, "z" , Baseline cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis less than or equal to 0 : "a" Subscript, 0 , Baseline left parenthesis, "t" , 1.0 5 , right parenthesis , StartFraction, 1 Over 0.4 "z" Subscript, "z" , Baseline , EndFraction left parenthesis, 0.4 "y" Subscript, "z" , Baseline cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis less than or equal to negative tan left parenthesis, negative 1 , right parenthesis : "b" Subscript, 0 , Baseline left parenthesis, "t" , 1.0 5 , right parenthesis , "c" Subscript, 0 , Baseline left parenthesis, "t" , 1.0 5 , right parenthesis , right brace left brace, left brace, "t" Subscript, "i" "m" "e" , Baseline less than or equal to 1.5 9 : 1 , 0 , right brace plus left brace, 4.6 2 less than or equal to "t" Subscript, "i" "m" "e" , Baseline : 1 , 0 , right brace greater than or equal to 1 , right bracet≤π:1zzyz0.6cost+xzsint≤0:d0t,1.05,10.6zzyz0.6cost+xzsint≤−tan−1:f0t,1.05,g0t,1.05,1zz0.4yzcost+xzsint≤0:a0t,1.05,10.4zz0.4yzcost+xzsint≤−tan−1:b0t,1.05,c0t,1.05time≤1.59:1,0+4.62≤time:1,0≥1
Label
undefined
133
Expression 134: left brace, "t" less than or equal to pi : left brace, StartFraction, 1 Over "z" Subscript, "z" , Baseline , EndFraction left parenthesis, "y" Subscript, "z" , Baseline 0.4cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis less than or equal to 0 : "a" Subscript, 0 , Baseline left parenthesis, "t" , negative 1.0 5 , right parenthesis , StartFraction, 1 Over 0.4 "z" Subscript, "z" , Baseline , EndFraction left parenthesis, "y" Subscript, "z" , Baseline 0.4cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis less than or equal to negative tan left parenthesis, negative 1 , right parenthesis : "b" Subscript, 0 , Baseline left parenthesis, "t" , negative 1.0 5 , right parenthesis , "c" Subscript, 0 , Baseline left parenthesis, "t" , negative 1.0 5 , right parenthesis , right brace , StartFraction, 1 Over "z" Subscript, "z" , Baseline , EndFraction left parenthesis, 0.6 "y" Subscript, "z" , Baseline cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis less than or equal to 0 : "d" Subscript, 0 , Baseline left parenthesis, "t" , negative 1.0 5 , right parenthesis , StartFraction, 1 Over 0.6 "z" Subscript, "z" , Baseline , EndFraction left parenthesis, 0.6 "y" Subscript, "z" , Baseline cos left parenthesis, "t" , right parenthesis plus "x" Subscript, "z" , Baseline sin left parenthesis, "t" , right parenthesis , right parenthesis less than or equal to negative tan left parenthesis, negative 1 , right parenthesis : "f" Subscript, 0 , Baseline left parenthesis, "t" , negative 1.0 5 , right parenthesis , "g" Subscript, 0 , Baseline left parenthesis, "t" , negative 1.0 5 , right parenthesis , right brace left brace, left brace, "t" Subscript, "i" "m" "e" , Baseline less than or equal to 1.4 9 : 1 , 0 , right brace plus left brace, 4.8 1 less than or equal to "t" Subscript, "i" "m" "e" , Baseline : 1 , 0 , right brace less than 1 , right bracet≤π:1zzyz0.4cost+xzsint≤0:a0t,−1.05,10.4zzyz0.4cost+xzsint≤−tan−1:b0t,−1.05,c0t,−1.05,1zz0.6yzcost+xzsint≤0:d0t,−1.05,10.6zz0.6yzcost+xzsint≤−tan−1:f0t,−1.05,g0t,−1.05time≤1.49:1,0+4.81≤time:1,0<1
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 2 pi2π
134
Feet
135
Expression 136: left brace, "t" less than or equal to 2 pi : "f" Subscript, "i" "n" "a" "l" , Baseline left parenthesis, 0.2cos left parenthesis, "t" , right parenthesis StartFraction, negative StartNestedFraction, 0.2 times 0.1 5 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.1 5cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.2sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction Over StartRoot, left parenthesis, negative StartNestedFraction, 0.2 times 0.1 5 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.1 5cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.2sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis squared plus 1 , EndRoot , EndFraction minus 0.4 , 0.1 5sin left parenthesis, "t" , right parenthesis StartFraction, negative StartNestedFraction, 0.2 times 0.1 5 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.1 5cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.2sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction Over StartRoot, left parenthesis, negative StartNestedFraction, 0.2 times 0.1 5 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.1 5cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.2sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis squared plus 1 , EndRoot , EndFraction , 0.1 StartFraction, 1 Over StartRoot, left parenthesis, negative StartNestedFraction, 0.2 times 0.1 5 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.1 5cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.2sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis squared plus 1 , EndRoot , EndFraction minus 1.1 3 , right parenthesis , "f" Subscript, "i" "n" "a" "l" , Baseline left parenthesis, negative 0.2cos left parenthesis, "t" minus 2 pi , right parenthesis StartFraction, negative StartNestedFraction, 0.2 times 0.1 5 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.1 5cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.2sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction Over StartRoot, left parenthesis, negative StartNestedFraction, 0.2 times 0.1 5 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.1 5cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.2sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis squared plus 1 , EndRoot , EndFraction minus 0.4 , negative 0.1 5sin left parenthesis, "t" minus 2 pi , right parenthesis StartFraction, negative StartNestedFraction, 0.2 times 0.1 5 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.1 5cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.2sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction Over StartRoot, left parenthesis, negative StartNestedFraction, 0.2 times 0.1 5 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.1 5cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.2sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis squared plus 1 , EndRoot , EndFraction , negative 0.1 StartFraction, 1 Over StartRoot, left parenthesis, negative StartNestedFraction, 0.2 times 0.1 5 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.1 5cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.2sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis squared plus 1 , EndRoot , EndFraction minus 1.1 3 , right parenthesis , right brace left brace, left brace, "t" Subscript, "i" "m" "e" , Baseline less than or equal to 0.7 : 1 , 0 , right brace plus left brace, 2.3 less than or equal to "t" Subscript, "i" "m" "e" , Baseline less than or equal to 4 : 1 , 0 , right brace plus left brace, 5.5 6 less than or equal to "t" Subscript, "i" "m" "e" , Baseline : 1 , 0 , right brace greater than or equal to 1 , right bracet≤2π:final0.2cost−0.2·0.15zz0.1xz0.15cost+yz0.2sint−0.2·0.15zz0.1xz0.15cost+yz0.2sint2+1−0.4,0.15sint−0.2·0.15zz0.1xz0.15cost+yz0.2sint−0.2·0.15zz0.1xz0.15cost+yz0.2sint2+1,0.11−0.2·0.15zz0.1xz0.15cost+yz0.2sint2+1−1.13,final−0.2cost−2π−0.2·0.15zz0.1xz0.15cost+yz0.2sint−0.2·0.15zz0.1xz0.15cost+yz0.2sint2+1−0.4,−0.15sint−2π−0.2·0.15zz0.1xz0.15cost+yz0.2sint−0.2·0.15zz0.1xz0.15cost+yz0.2sint2+1,−0.11−0.2·0.15zz0.1xz0.15cost+yz0.2sint2+1−1.13time≤0.7:1,0+2.3≤time≤4:1,0+5.56≤time:1,0≥1
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 4 pi4π
136
Expression 137: left brace, "t" less than or equal to 2 pi : "f" Subscript, "i" "n" "a" "l" , Baseline left parenthesis, 0.2cos left parenthesis, "t" , right parenthesis StartFraction, negative StartNestedFraction, 0.2 times 0.1 5 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.1 5cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.2sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction Over StartRoot, left parenthesis, negative StartNestedFraction, 0.2 times 0.1 5 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.1 5cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.2sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis squared plus 1 , EndRoot , EndFraction plus 0.4 , 0.1 5sin left parenthesis, "t" , right parenthesis StartFraction, negative StartNestedFraction, 0.2 times 0.1 5 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.1 5cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.2sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction Over StartRoot, left parenthesis, negative StartNestedFraction, 0.2 times 0.1 5 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.1 5cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.2sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis squared plus 1 , EndRoot , EndFraction , 0.1 StartFraction, 1 Over StartRoot, left parenthesis, negative StartNestedFraction, 0.2 times 0.1 5 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.1 5cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.2sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis squared plus 1 , EndRoot , EndFraction minus 1.1 3 , right parenthesis , "f" Subscript, "i" "n" "a" "l" , Baseline left parenthesis, negative 0.2cos left parenthesis, "t" , right parenthesis StartFraction, negative StartNestedFraction, 0.2 times 0.1 5 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.1 5cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.2sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction Over StartRoot, left parenthesis, negative StartNestedFraction, 0.2 times 0.1 5 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.1 5cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.2sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis squared plus 1 , EndRoot , EndFraction plus 0.4 , negative 0.1 5sin left parenthesis, "t" , right parenthesis StartFraction, negative StartNestedFraction, 0.2 times 0.1 5 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.1 5cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.2sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction Over StartRoot, left parenthesis, negative StartNestedFraction, 0.2 times 0.1 5 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.1 5cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.2sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis squared plus 1 , EndRoot , EndFraction , negative 0.1 StartFraction, 1 Over StartRoot, left parenthesis, negative StartNestedFraction, 0.2 times 0.1 5 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.1 5cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.2sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis squared plus 1 , EndRoot , EndFraction minus 1.1 3 , right parenthesis , right brace left brace, left brace, "t" Subscript, "i" "m" "e" , Baseline less than or equal to 0.8 5 : 1 , 0 , right brace plus left brace, 2.4 4 less than or equal to "t" Subscript, "i" "m" "e" , Baseline less than or equal to 3.8 2 : 1 , 0 , right brace plus left brace, 5.4 3 less than or equal to "t" Subscript, "i" "m" "e" , Baseline : 1 , 0 , right brace greater than or equal to 1 , right bracet≤2π:final0.2cost−0.2·0.15zz0.1xz0.15cost+yz0.2sint−0.2·0.15zz0.1xz0.15cost+yz0.2sint2+1+0.4,0.15sint−0.2·0.15zz0.1xz0.15cost+yz0.2sint−0.2·0.15zz0.1xz0.15cost+yz0.2sint2+1,0.11−0.2·0.15zz0.1xz0.15cost+yz0.2sint2+1−1.13,final−0.2cost−0.2·0.15zz0.1xz0.15cost+yz0.2sint−0.2·0.15zz0.1xz0.15cost+yz0.2sint2+1+0.4,−0.15sint−0.2·0.15zz0.1xz0.15cost+yz0.2sint−0.2·0.15zz0.1xz0.15cost+yz0.2sint2+1,−0.11−0.2·0.15zz0.1xz0.15cost+yz0.2sint2+1−1.13time≤0.85:1,0+2.44≤time≤3.82:1,0+5.43≤time:1,0≥1
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 4 pi4π
137
Beak
138
Hidden Label: left brace, "t" less than or equal to 2 pi : "f" Subscript, "i" "n" "a" "l" , Baseline left parenthesis, 0.1 7cos left parenthesis, "t" , right parenthesis StartFraction, negative StartNestedFraction, 0.1 7 times 0.0 8 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.0 8cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.1 7sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction Over StartRoot, left parenthesis, negative StartNestedFraction, 0.1 7 times 0.0 8 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.0 8cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.1 7sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis squared plus 1 , EndRoot , EndFraction , 0.0 8sin left parenthesis, "t" , right parenthesis StartFraction, negative StartNestedFraction, 0.1 7 times 0.0 8 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.0 8cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.1 7sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction Over StartRoot, left parenthesis, negative StartNestedFraction, 0.1 7 times 0.0 8 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.0 8cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.1 7sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis squared plus 1 , EndRoot , EndFraction , 0.1 StartFraction, 1 Over StartRoot, left parenthesis, negative StartNestedFraction, 0.1 7 times 0.0 8 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.0 8cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.1 7sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis squared plus 1 , EndRoot , EndFraction plus 1.1 8 , right parenthesis , "f" Subscript, "i" "n" "a" "l" , Baseline left parenthesis, negative 0.1 7cos left parenthesis, "t" , right parenthesis StartFraction, negative StartNestedFraction, 0.1 7 times 0.0 8 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.0 8cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.1 7sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction Over StartRoot, left parenthesis, negative StartNestedFraction, 0.1 7 times 0.0 8 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.0 8cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.1 7sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis squared plus 1 , EndRoot , EndFraction , negative 0.0 8sin left parenthesis, "t" , right parenthesis StartFraction, negative StartNestedFraction, 0.1 7 times 0.0 8 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.0 8cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.1 7sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction Over StartRoot, left parenthesis, negative StartNestedFraction, 0.1 7 times 0.0 8 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.0 8cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.1 7sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis squared plus 1 , EndRoot , EndFraction , negative 0.1 StartFraction, 1 Over StartRoot, left parenthesis, negative StartNestedFraction, 0.1 7 times 0.0 8 "z" Subscript, "z" , Baseline NestedOver 0.1 left parenthesis, "x" Subscript, "z" , Baseline left parenthesis, 0.0 8cos left parenthesis, "t" , right parenthesis , right parenthesis plus "y" Subscript, "z" , Baseline left parenthesis, 0.1 7sin left parenthesis, "t" , right parenthesis , right parenthesis , right parenthesis , EndNestedFraction , right parenthesis squared plus 1 , EndRoot , EndFraction plus 1.1 8 , right parenthesis , right brace left brace, left brace, "t" Subscript, "i" "m" "e" , Baseline less than or equal to 0.8 : 1 , 0 , right brace plus left brace, 2.3 2 less than or equal to "t" Subscript, "i" "m" "e" , Baseline less than or equal to 3.9 2 : 1 , 0 , right brace plus left brace, 5.4 4 less than or equal to "t" Subscript, "i" "m" "e" , Baseline : 1 , 0 , right brace less than 1 , right bracet≤2π:final0.17cost−0.17·0.08zz0.1xz0.08cost+yz0.17sint−0.17·0.08zz0.1xz0.08cost+yz0.17sint2+1,0.08sint−0.17·0.08zz0.1xz0.08cost+yz0.17sint−0.17·0.08zz0.1xz0.08cost+yz0.17sint2+1,0.11−0.17·0.08zz0.1xz0.08cost+yz0.17sint2+1+1.18,final−0.17cost−0.17·0.08zz0.1xz0.08cost+yz0.17sint−0.17·0.08zz0.1xz0.08cost+yz0.17sint2+1,−0.08sint−0.17·0.08zz0.1xz0.08cost+yz0.17sint−0.17·0.08zz0.1xz0.08cost+yz0.17sint2+1,−0.11−0.17·0.08zz0.1xz0.08cost+yz0.17sint2+1+1.18time≤0.8:1,0+2.32≤time≤3.92:1,0+5.44≤time:1,0<1