Expression 7: left parenthesis, left brace, "T" Subscript, "w" "o" , Baseline equals 0 , right brace phi "h" plus cos left parenthesis, phi minus "a" sin phi "t" , right parenthesis "t" , "v" plus sin left parenthesis, "b" minus "a" cos phi "t" , right parenthesis "t" , right parenthesisTwo=0ϕh+cosϕ−asinϕtt,v+sinb−acosϕtt
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 3 tau3τ
7
Expression 8: left parenthesis, left brace, "T" Subscript, "w" "o" , Baseline equals 1 , right brace phi "h" plus 15 plus cos left parenthesis, phi minus "a" sin phi "t" , right parenthesis "t" , "v" plus sin left parenthesis, "b" minus "a" cos phi "t" , right parenthesis "t" , right parenthesisTwo=1ϕh+15+cosϕ−asinϕtt,v+sinb−acosϕtt
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 3 tau3τ
8
Expression 9: "h" equals 0h=0
negative 10−10
1010
9
Expression 10: "v" equals 0v=0
negative 10−10
1010
10
Expression 11: left parenthesis, phi plus "a" cos "t" , 1 plus "a" sin "t" , right parenthesisϕ+acost,1+asint
domain t Minimum: negative tau−τ
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: tauτ
11
Hidden Label: left parenthesis, phi minus "a" sin phi , 1 minus "a" cos phi , right parenthesisϕ−asinϕ,1−acosϕ