Expression 23: left parenthesis, "l" Subscript, 1 , Baseline cos "t" , "l" Subscript, 1 , Baseline sin "t" , right parenthesisl1cost,l1sint
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 1010
23
Expression 24: left parenthesis, "l" Subscript, 1 , Baseline cos left parenthesis, "a" , right parenthesis plus "l" Subscript, 2 , Baseline cos "t" , "l" Subscript, 1 , Baseline sin left parenthesis, "a" , right parenthesis plus "l" Subscript, 2 , Baseline sin "t" , right parenthesisl1cosa+l2cost,l1sina+l2sint
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 1010
24
Expression 25: left parenthesis, "t" "l" Subscript, 1 , Baseline cos left parenthesis, "a" , right parenthesis , "t" "l" Subscript, 1 , Baseline sin left parenthesis, "a" , right parenthesis plus 1 , right parenthesistl1cosa,tl1sina+1
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 11
25
Expression 26: left parenthesis, "l" Subscript, 1 , Baseline cos left parenthesis, "a" , right parenthesis plus "t" times "l" Subscript, 2 , Baseline cos left parenthesis, "b" , right parenthesis , "l" Subscript, 1 , Baseline sin left parenthesis, "a" , right parenthesis plus "t" times "l" Subscript, 2 , Baseline sin left parenthesis, "b" , right parenthesis plus 1 , right parenthesisl1cosa+t·l2cosb,l1sina+t·l2sinb+1
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 11
26
Expression 27: left parenthesis, "s" Subscript, 1 , Baseline cos left parenthesis, StartFraction, pi Over 2 , EndFraction "t" plus "a" plus pi , right parenthesis , "s" Subscript, 1 , Baseline sin left parenthesis, StartFraction, pi Over 2 , EndFraction "t" plus "a" plus pi , right parenthesis , right parenthesiss1cosπ2t+a+π,s1sinπ2t+a+π
domain t Minimum: negative 1−1
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 11
27
Expression 28: left parenthesis, left brace, 0 less than "t" less than 1 : "f" Subscript, 11 , Baseline left parenthesis, "t" , 1 , right parenthesis , left brace, 1 less than or equal to "t" less than 2 : "f" Subscript, 12 , Baseline left parenthesis, "t" minus 1 , 1 , right parenthesis , left brace, 2 less than or equal to "t" less than 3 : "f" Subscript, 11 , Baseline left parenthesis, "t" plus 1 , 1 , right parenthesis plus "l" Subscript, 1 , Baseline cos "a" , "f" Subscript, 13 , Baseline left parenthesis, "t" minus 3 , 1 , right parenthesis , right brace , right brace , right brace , left brace, negative 1 less than "t" less than 1 : "g" Subscript, 11 , Baseline left parenthesis, "t" , 1 , right parenthesis , left brace, 1 less than or equal to "t" less than 2 : "g" Subscript, 12 , Baseline left parenthesis, "t" minus 1 , 1 , right parenthesis , left brace, 2 less than or equal to "t" less than 3 : "g" Subscript, 11 , Baseline left parenthesis, "t" plus 1 , 1 , right parenthesis plus "l" Subscript, 1 , Baseline sin "a" , "g" Subscript, 13 , Baseline left parenthesis, "t" minus 3 , 1 , right parenthesis , right brace , right brace , right brace , right parenthesis0<t<1:f11t,1,1≤t<2:f12t−1,1,2≤t<3:f11t+1,1+l1cosa,f13t−3,1,−1<t<1:g11t,1,1≤t<2:g12t−1,1,2≤t<3:g11t+1,1+l1sina,g13t−3,1
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 44
28
Expression 29: "f" Subscript, 11 , Baseline left parenthesis, "t" , "o" , right parenthesis equals left parenthesis, "o" "s" Subscript, 1 , Baseline plus left parenthesis, 1 minus "o" , right parenthesis "s" Subscript, 2 , Baseline , right parenthesis times cosine left parenthesis, pi "t" plus "o" "a" plus left parenthesis, 1 minus "o" , right parenthesis "b" plus StartFraction, pi Over 2 , EndFraction , right parenthesisf11t,o=os1+1−os2·cosπt+oa+1−ob+π2
29
Expression 30: "f" Subscript, 12 , Baseline left parenthesis, "t" , "o" , right parenthesis equals "t" times left parenthesis, "o" "l" Subscript, 1 , Baseline plus left parenthesis, 1 minus "o" , right parenthesis "l" Subscript, 2 , Baseline , right parenthesis times cosine left parenthesis, "o" "a" plus left parenthesis, 1 minus "o" , right parenthesis "b" , right parenthesis plus left parenthesis, "o" "s" Subscript, 1 , Baseline plus left parenthesis, 1 minus "o" , right parenthesis "s" Subscript, 2 , Baseline , right parenthesis times sine left parenthesis, "o" "a" plus left parenthesis, 1 minus "o" , right parenthesis "b" , right parenthesisf12t,o=t·ol1+1−ol2·cosoa+1−ob+os1+1−os2·sinoa+1−ob
30
Expression 31: "f" Subscript, 13 , Baseline left parenthesis, "t" , "o" , right parenthesis equals "t" times left parenthesis, "o" "l" Subscript, 1 , Baseline plus left parenthesis, 1 minus "o" , right parenthesis "l" Subscript, 2 , Baseline , right parenthesis times cosine left parenthesis, "o" "a" plus left parenthesis, 1 minus "o" , right parenthesis "b" , right parenthesis minus left parenthesis, "o" "s" Subscript, 1 , Baseline plus left parenthesis, 1 minus "o" , right parenthesis "s" Subscript, 2 , Baseline , right parenthesis times sine left parenthesis, "o" "a" plus left parenthesis, 1 minus "o" , right parenthesis "b" , right parenthesisf13t,o=t·ol1+1−ol2·cosoa+1−ob−os1+1−os2·sinoa+1−ob
31
Expression 32: "g" Subscript, 11 , Baseline left parenthesis, "t" , "o" , right parenthesis equals left parenthesis, "o" "s" Subscript, 1 , Baseline plus left parenthesis, 1 minus "o" , right parenthesis "s" Subscript, 2 , Baseline , right parenthesis times sine left parenthesis, pi "t" plus "o" "a" plus left parenthesis, 1 minus "o" , right parenthesis "b" plus StartFraction, pi Over 2 , EndFraction , right parenthesisg11t,o=os1+1−os2·sinπt+oa+1−ob+π2
32
Expression 33: "g" Subscript, 12 , Baseline left parenthesis, "t" , "o" , right parenthesis equals "t" times left parenthesis, "o" "l" Subscript, 1 , Baseline plus left parenthesis, 1 minus "o" , right parenthesis "l" Subscript, 2 , Baseline , right parenthesis times sine left parenthesis, "o" "a" plus left parenthesis, 1 minus "o" , right parenthesis "b" , right parenthesis minus left parenthesis, "o" "s" Subscript, 1 , Baseline plus left parenthesis, 1 minus "o" , right parenthesis "s" Subscript, 2 , Baseline , right parenthesis times cosine left parenthesis, "o" "a" plus left parenthesis, 1 minus "o" , right parenthesis "b" , right parenthesisg12t,o=t·ol1+1−ol2·sinoa+1−ob−os1+1−os2·cosoa+1−ob
33
Expression 34: "g" Subscript, 13 , Baseline left parenthesis, "t" , "o" , right parenthesis equals "t" times left parenthesis, "o" "l" Subscript, 1 , Baseline plus left parenthesis, 1 minus "o" , right parenthesis "l" Subscript, 2 , Baseline , right parenthesis times sine left parenthesis, "o" "a" plus left parenthesis, 1 minus "o" , right parenthesis "b" , right parenthesis plus left parenthesis, "o" "s" Subscript, 1 , Baseline plus left parenthesis, 1 minus "o" , right parenthesis "s" Subscript, 2 , Baseline , right parenthesis times cosine left parenthesis, "o" "a" plus left parenthesis, 1 minus "o" , right parenthesis "b" , right parenthesisg13t,o=t·ol1+1−ol2·sinoa+1−ob+os1+1−os2·cosoa+1−ob
34
Expression 35: left parenthesis, "l" Subscript, 1 , Baseline cos "a" plus left brace, 0 less than "t" less than 1 : "f" Subscript, 11 , Baseline left parenthesis, "t" , 0 , right parenthesis , left brace, 1 less than or equal to "t" less than 2 : "f" Subscript, 12 , Baseline left parenthesis, "t" minus 1 , 0 , right parenthesis , left brace, 2 less than or equal to "t" less than 3 : "f" Subscript, 11 , Baseline left parenthesis, "t" plus 1 , 0 , right parenthesis plus "l" Subscript, 2 , Baseline cos "b" , "f" Subscript, 13 , Baseline left parenthesis, "t" minus 3 , 0 , right parenthesis , right brace , right brace , right brace , "l" Subscript, 1 , Baseline sin "a" plus left brace, negative 1 less than "t" less than 1 : "g" Subscript, 11 , Baseline left parenthesis, "t" , 0 , right parenthesis , left brace, 1 less than or equal to "t" less than 2 : "g" Subscript, 12 , Baseline left parenthesis, "t" minus 1 , 0 , right parenthesis , left brace, 2 less than or equal to "t" less than 3 : "g" Subscript, 11 , Baseline left parenthesis, "t" plus 1 , 0 , right parenthesis plus "l" Subscript, 2 , Baseline sin "b" , "g" Subscript, 13 , Baseline left parenthesis, "t" minus 3 , 0 , right parenthesis , right brace , right brace , right brace , right parenthesisl1cosa+0<t<1:f11t,0,1≤t<2:f12t−1,0,2≤t<3:f11t+1,0+l2cosb,f13t−3,0,l1sina+−1<t<1:g11t,0,1≤t<2:g12t−1,0,2≤t<3:g11t+1,0+l2sinb,g13t−3,0
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 44
35
Expression 36: left parenthesis, "l" Subscript, 1 , Baseline times cos left parenthesis, "a" , right parenthesis plus "l" Subscript, 2 , Baseline cos left parenthesis, "b" , right parenthesis plus "s" Subscript, 3 , Baseline cos "t" , "s" Subscript, 3 , Baseline sin "t" , right parenthesisl1·cosa+l2cosb+s3cost,s3sint
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 1010
36
Expression 37: "h" left parenthesis, "x" , right parenthesis equals "l" Subscript, 1 , Baseline times cosine left parenthesis, "x" , right parenthesis plus "l" Subscript, 2 , Baseline cosine left parenthesis, sin to the negative 1st power left parenthesis, negative StartFraction, "l" Subscript, 1 , Baseline sin "x" Over "l" Subscript, 2 , Baseline , EndFraction , right parenthesis , right parenthesishx=l1·cosx+l2cossin−1−l1sinxl2
37
Expression 38: 1 half "h" left parenthesis, 4 left parenthesis, "x" minus 5 , right parenthesis plus "a" , right parenthesis plus 2 left brace, 5 minus left brace, StartFraction, "a" Over 4 , EndFraction less than 5 : StartFraction, "a" Over 4 , EndFraction , 5 , right brace less than "x" less than or equal to 6 , right brace12h4x−5+a+25−a4<5:a4,5<x≤6
38
Expression 39: 5 less than or equal to "x" less than 6 left brace, 2 less than "y" less than 3 , right brace5≤x<62<y<3
39
Expression 40: "y" equals 2 left brace, 0 less than "x" less than 6 , right bracey=20<x<6
40
Expression 41: "x" equals 5 minus StartFraction, "a" Over 4 , EndFraction left brace, 1.9 less than "y" less than 3.1 , right bracex=5−a41.9<y<3.1
41
Hidden Label: left parenthesis, 5 , 1 half "h" left parenthesis, "a" , right parenthesis plus 2 , right parenthesis5,12ha+2
Label
equals=
left parenthesis, 5 , 2.6 5 4 3 9 9 8 7 , right parenthesis5,2.65439987
42
Expression 43: "s" Subscript, 3 , Baseline less than or equal to "y" less than 1.5 "s" Subscript, 3 , Baseline left brace, 0 less than "x" less than 3 , right braces3≤y<1.5s30<x<3
43
Expression 44: negative 1.5 "s" Subscript, 3 , Baseline less than "y" less than or equal to negative "s" Subscript, 3 , Baseline left brace, 0 less than "x" less than 3 , right brace−1.5s3<y≤−s30<x<3
44
Expression 45: "y" equals 1 left brace, negative 0.1 less than "x" less than 3 , right bracey=1−0.1<x<3
45
Expression 46: left parenthesis, "l" Subscript, 1 , Baseline times cos left parenthesis, "a" , right parenthesis plus "l" Subscript, 2 , Baseline cos left parenthesis, "b" , right parenthesis plus "s" Subscript, 4 , Baseline left parenthesis, tanh left parenthesis, 10 left parenthesis, "t" minus 1 , right parenthesis , right parenthesis times tanh left parenthesis, 10 left parenthesis, "t" minus 3 , right parenthesis , right parenthesis , right parenthesis , 1 plus "s" Subscript, 4 , Baseline left parenthesis, tanh left parenthesis, 10 left parenthesis, "t" minus 2 , right parenthesis , right parenthesis times tanh left parenthesis, 10 left parenthesis, "t" minus 4 , right parenthesis , right parenthesis , right parenthesis , right parenthesisl1·cosa+l2cosb+s4tanh10t−1·tanh10t−3,1+s4tanh10t−2·tanh10t−4
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤