Expression 13: left parenthesis, alpha "t" , 0 left brace, alpha less than or equal to 2 , right brace , right parenthesisαt,0α≤2
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
13
Expression 14: left parenthesis, 2 "t" , 0 left brace, alpha greater than or equal to 2 , right brace , right parenthesis2t,0α≥2
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
14
Expression 15: left parenthesis, "t" cos StartFraction, pi Over 2 , EndFraction left parenthesis, alpha minus 2 , right parenthesis , "t" sin StartFraction, pi Over 2 , EndFraction left parenthesis, alpha minus 2 , right parenthesis left brace, 2 less than or equal to alpha less than or equal to 3 , right brace , right parenthesistcosπ2α−2,tsinπ2α−22≤α≤3
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
15
Hidden Label: left parenthesis, 0 , 0 plus "t" left brace, alpha greater than or equal to 3 , right brace , right parenthesis0,0+tα≥3
Label
16
Expression 17: left parenthesis, 1 half left parenthesis, alpha minus 3 , right parenthesis "t" , 1 minus left parenthesis, alpha minus 3 , right parenthesis "t" left brace, 3 less than or equal to alpha less than or equal to 4 , right brace , right parenthesis12α−3t,1−α−3t3≤α≤4
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
17
Expression 18: left parenthesis, 1 half "t" , 1 minus "t" left brace, 4 less than alpha , right brace , right parenthesis12t,1−t4<α
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
18
Expression 19: beta equals 2.0 3 4 4 minus alpha plus 4β=2.0344−α+4
equals=
3.7 5 1 43.7514
19
Expression 20: left parenthesis, 1 half plus "R" cos "t" , "R" sin "t" left brace, 4 less than or equal to alpha , right brace left brace, "t" greater than or equal to beta , right brace , right parenthesis12+Rcost,Rsint4≤αt≥β
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 2.0 3 4 42.0344
20
Expression 21: left parenthesis, 1 half plus "t" "R" cos left parenthesis, beta , right parenthesis , "t" "R" sin left parenthesis, beta , right parenthesis left brace, 4 less than or equal to alpha less than or equal to 6.0 3 4 , right brace , right parenthesis12+tRcosβ,tRsinβ4≤α≤6.034
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
21
Expression 22: left parenthesis, 1 half plus "t" "R" cos 0 , "t" "R" sin 0 left brace, alpha greater than or equal to 6.0 3 4 , right brace , right parenthesis12+tRcos0,tRsin0α≥6.034
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
22
Hidden Label: left parenthesis, 1 , left parenthesis, alpha minus 6.0 3 4 , right parenthesis "t" left brace, 6.0 3 4 less than or equal to alpha less than 7.0 3 4 , right brace , right parenthesis1,α−6.034t6.034≤α<7.034
Label
23
Hidden Label: left parenthesis, 1 , "t" left brace, alpha greater than or equal to 7.0 3 4 , right brace , right parenthesis1,tα≥7.034