Expression 7: left parenthesis, negative "k" "t" sin left parenthesis, "u" , right parenthesis , "k" "t" cos left parenthesis, "u" , right parenthesis , right parenthesis Has graph.−ktsinu,ktcosu
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
7
Expression 8: left parenthesis, left parenthesis, 1 minus "t" , right parenthesis cos left parenthesis, "u" , right parenthesis minus "k" "t" sin left parenthesis, "u" , right parenthesis , positive left parenthesis, 1 minus "t" , right parenthesis sin left parenthesis, "u" , right parenthesis plus "k" "t" cos left parenthesis, "u" , right parenthesis , right parenthesis Has graph.1−tcosu−ktsinu,+1−tsinu+ktcosu
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
8
Expression 9: "k" equals 1.2 2 4k=1.224
00
33
9
Expression 10: left parenthesis, "x" minus StartFraction, cos left parenthesis, "u" , right parenthesis minus "k" sin left parenthesis, "u" , right parenthesis Over 2 , EndFraction , right parenthesis squared plus left parenthesis, "y" minus StartFraction, sin left parenthesis, "u" , right parenthesis plus "k" cos left parenthesis, "u" , right parenthesis Over 2 , EndFraction , right parenthesis squared equals StartFraction, 1 plus "k" squared Over 4 , EndFraction Has graph. To audio trace, press ALT+T.x−cosu−ksinu22+y−sinu+kcosu22=1+k24
10
C(γ) left parenthesis, negative StartFraction, "k" squared minus 1 Over 2 "k" , EndFraction sin left parenthesis, "u" , right parenthesis , StartFraction, "k" squared minus 1 Over 2 "k" , EndFraction cos left parenthesis, "u" , right parenthesis , right parenthesis−k2−12ksinu,k2−12kcosu
Expression 12: left parenthesis, negative "t" StartFraction, "k" squared minus 1 Over 2 "k" , EndFraction sin left parenthesis, "u" , right parenthesis , "t" StartFraction, "k" squared minus 1 Over 2 "k" , EndFraction cos left parenthesis, "u" , right parenthesis , right parenthesis Has graph.−tk2−12ksinu,tk2−12kcosu
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
12
P(z) left parenthesis, 0 , "k" cos left parenthesis, "u" , right parenthesis plus sin left parenthesis, "u" , right parenthesis , right parenthesis0,kcosu+sinu
Label:
equals=
left parenthesis, 0 , 1.6 2 2 4 1 9 6 4 , right parenthesis0,1.62241964