Expression 8: StartFraction, left parenthesis, "C" Subscript, 1 , Baseline plus "C" Subscript, 2 , Baseline plus "C" Subscript, 3 , Baseline , right parenthesis Over 3 , EndFraction "t" Subscript, 1 , Baseline plus left parenthesis, 1 minus "t" Subscript, 1 , Baseline , right parenthesis "C" Subscript, 1 , Baseline left brace, "t" Subscript, 2 , Baseline equals 0 , right braceC1+C2+C33t1+1−t1C1t2=0
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
8
Expression 9: "C" Subscript, 3 , Baseline "t" Subscript, 2 , Baseline plus StartFraction, left parenthesis, 1 minus "t" Subscript, 2 , Baseline , right parenthesis left parenthesis, "C" Subscript, 1 , Baseline plus "C" Subscript, 2 , Baseline plus "C" Subscript, 3 , Baseline , right parenthesis Over 3 , EndFraction left brace, "t" Subscript, 2 , Baseline greater than 0 , right braceC3t2+1−t2C1+C2+C33t2>0
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
9
Expression 10: "C" Subscript, 1 , Baseline equals left parenthesis, StartRoot, 5 , EndRoot cos left parenthesis, StartFraction, pi Over 2 , EndFraction plus 2 pi "t" , right parenthesis , 5 plus StartRoot, 5 , EndRoot sin left parenthesis, StartFraction, pi Over 2 , EndFraction plus 2 pi "t" , right parenthesis , right parenthesisC1=5cosπ2+2πt,5+5sinπ2+2πt
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
10
Expression 11: "C" Subscript, 2 , Baseline equals left parenthesis, negative 4 plus 8 "t" , "g" left parenthesis, negative 4 plus 8 "t" , right parenthesis , right parenthesisC2=−4+8t,g−4+8t
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
11
Expression 12: "C" Subscript, 3 , Baseline equals left parenthesis, negative 5 plus 10 "t" , sin left parenthesis, negative 5 plus 10 "t" , right parenthesis , right parenthesisC3=−5+10t,sin−5+10t
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
12
Expression 13: "g" left parenthesis, "x" , right parenthesis equals 1 fifth "x" squared plus left parenthesis, StartFraction, 5 minus StartRoot, 5 , EndRoot Over 2 , EndFraction , right parenthesisgx=15x2+5−52