Expression 5: left parenthesis, 0.9 "v" minus 3.1 plus 0.7 "r" Subscript, 2 , Baseline left parenthesis, "u" , "v" , right parenthesis sin left parenthesis, "u" , right parenthesis , "r" Subscript, 2 , Baseline left parenthesis, "u" , "v" , right parenthesis cos left parenthesis, "u" , right parenthesis , "r" Subscript, 2 , Baseline left parenthesis, "u" , "v" , right parenthesis sin left parenthesis, "u" , right parenthesis minus 0.8 "v" plus 1.9 , right parenthesis0.9v−3.1+0.7r2u,vsinu,r2u,vcosu,r2u,vsinu−0.8v+1.9
domain u Minimum: 00
less than or equal to "u" less than or equal to≤u≤
domain u Maximum: 2 pi2π
domain v Minimum: negative 1−1
less than or equal to "v" less than or equal to≤v≤
domain v Maximum: 11
5
Expression 6: "c" Subscript, 2 , Baseline equals hsv left parenthesis, 65 , 1 , 0.8 , right parenthesisc2=hsv65,1,0.8
6
Expression 7: "r" Subscript, 3 , Baseline left parenthesis, "u" , right parenthesis equals 0.3 5 plus 0.0 5arc sine left parenthesis, sin left parenthesis, 3.5 "u" , right parenthesis , right parenthesisr3u=0.35+0.05arcsinsin3.5u
7
Expression 8: left parenthesis, 4.5 minus 0.1sin left parenthesis, "u" , right parenthesis minus 0.2 "r" Subscript, 3 , Baseline left parenthesis, "u" , right parenthesis plus 0.1 "v" left parenthesis, 1 minus "v" squared , right parenthesis , "r" Subscript, 3 , Baseline left parenthesis, "u" , right parenthesis "v" cos left parenthesis, "u" , right parenthesis , "r" Subscript, 3 , Baseline left parenthesis, "u" , right parenthesis "v" sin left parenthesis, "u" , right parenthesis plus 1.6 , right parenthesis4.5−0.1sinu−0.2r3u+0.1v1−v2,r3uvcosu,r3uvsinu+1.6
00
domain u Minimum:
less than or equal to "u" less than or equal to≤u≤
domain u Maximum: 2 pi2π
00
domain v Minimum:
less than or equal to "v" less than or equal to≤v≤
11
domain v Maximum:
8
Expression 9: "c" Subscript, 3 , Baseline equals hsv left parenthesis, 45 , 1 , 0.5 , right parenthesisc3=hsv45,1,0.5
