Expressão 7: left parenthesis, "y" plus 0.2 5 1 2 minus 0.3 0 9 4 "a" , right parenthesis cosine left parenthesis, 2.6 2 9 minus 1.0 3 "a" , right parenthesis minus left parenthesis, "x" minus 0.1 7 5 3 plus 0.2 4 "a" , right parenthesis sine left parenthesis, 2.6 2 9 minus 1.0 3 "a" , right parenthesis equals left parenthesis, 0.3 9 minus 0.7 4 3 "a" , right parenthesis left parenthesis, left parenthesis, "y" plus 0.2 5 1 2 minus 0.3 0 9 4 "a" , right parenthesis sin left parenthesis, 2.6 2 9 minus 1.0 3 "a" , right parenthesis plus left parenthesis, "x" minus 0.1 7 5 3 plus 0.2 4 "a" , right parenthesis cos left parenthesis, 2.6 2 9 minus 1.0 3 "a" , right parenthesis , right parenthesis squared left brace, negative 0.1 6 plus 0.1 0 8 7 "a" less than or equal to "x" less than or equal to 0.2 7 2 7 minus 0.2 8 5 9 "a" , right brace left brace, negative 0.3 1 1 9 plus 0.0 2 7 9 "a" less than or equal to "y" less than or equal to negative 0.1 1 9 6 plus 0.0 1 9 6 "a" , right bracey+0.2512−0.3094acos2.629−1.03a−x−0.1753+0.24asin2.629−1.03a=0.39−0.743ay+0.2512−0.3094asin2.629−1.03a+x−0.1753+0.24acos2.629−1.03a2−0.16+0.1087a≤x≤0.2727−0.2859a−0.3119+0.0279a≤y≤−0.1196+0.0196a
7
Expressão 8: left parenthesis, "y" plus 0.1 8 8 2 minus 0.1 5 9 2 "a" , right parenthesis cosine left parenthesis, 0.7 4 plus 0.2 6 "a" , right parenthesis minus left parenthesis, "x" minus 0.0 2 8 3 minus 0.0 7 2 1 "a" , right parenthesis sine left parenthesis, 0.7 4 plus 0.2 6 "a" , right parenthesis equals left parenthesis, 1.3 minus 0.7 "a" , right parenthesis left parenthesis, left parenthesis, "y" plus 0.1 8 8 2 minus 0.1 5 9 2 "a" , right parenthesis sin left parenthesis, 0.7 4 plus 0.2 6 "a" , right parenthesis plus left parenthesis, "x" minus 0.0 2 8 3 minus 0.0 7 2 1 "a" , right parenthesis cos left parenthesis, 0.7 4 plus 0.2 6 "a" , right parenthesis , right parenthesis squared left brace, left parenthesis, negative 0.0 2 6 9 minus 0.0 0 7 8 "a" , right parenthesis less than or equal to "x" less than or equal to left parenthesis, 0.1 5 4 7 plus 0.0 4 0 5 "a" , right parenthesis , right brace left brace, left parenthesis, 0.0 2 7 8 9 9 plus 0.1 4 5 4 0 1 "a" , right parenthesis greater than or equal to "y" , right bracey+0.1882−0.1592acos0.74+0.26a−x−0.0283−0.0721asin0.74+0.26a=1.3−0.7ay+0.1882−0.1592asin0.74+0.26a+x−0.0283−0.0721acos0.74+0.26a2−0.0269−0.0078a≤x≤0.1547+0.0405a0.027899+0.145401a≥y
8
Expressão 9: StartFraction, left parenthesis, "y" sin left parenthesis, 0.7 4 plus 1.6 2 "a" , right parenthesis plus "x" cos left parenthesis, 0.7 4 plus 1.6 2 "a" , right parenthesis plus 0.1 0 6 minus 0.1 0 9 "a" , right parenthesis squared Over StartNestedFraction, 1 NestedOver 1.3 , EndNestedFraction minus left parenthesis, StartNestedFraction, 1 NestedOver 1.3 , EndNestedFraction minus 0.0 1 2 7 , right parenthesis "a" , EndFraction plus left parenthesis, 1 minus "a" , right parenthesis left parenthesis, negative "y" cos left parenthesis, 0.7 4 plus 1.6 2 "a" , right parenthesis plus "x" sin left parenthesis, 0.7 4 plus 1.6 2 "a" , right parenthesis , right parenthesis plus "a" StartFraction, left parenthesis, "y" cos 2.3 6 minus "x" sin 2.3 6 minus 0.1 7 1 3 , right parenthesis squared Over 0.0 5 2 , EndFraction minus 0.1 5 8 minus 0.8 4 2 "a" equals 0 left brace, negative 0.2 8 6 plus 0.0 5 3 2 "a" less than or equal to "x" less than or equal to negative 0.0 2 6 9 minus 0.0 0 8 "a" , right brace left brace, "y" less than or equal to 0.2 minus 0.3 9 0 6 9 "a" , right braceysin0.74+1.62a+xcos0.74+1.62a+0.106−0.109a211.3−11.3−0.0127a+1−a−ycos0.74+1.62a+xsin0.74+1.62a+aycos2.36−xsin2.36−0.171320.052−0.158−0.842a=0−0.286+0.0532a≤x≤−0.0269−0.008ay≤0.2−0.39069a
9
Expressão 10: StartFraction, left parenthesis, "x" cos 2.3 6 plus "y" sin 2.3 6 minus 0.0 0 3 , right parenthesis squared Over 0.0 1 2 7 , EndFraction plus StartFraction, left parenthesis, "y" cos 2.3 6 minus "x" sin 2.3 6 minus 0.1 7 1 3 , right parenthesis squared Over 0.0 5 2 , EndFraction equals 1 left brace, negative 0.3 0 2 2 4 less than or equal to "x" less than or equal to negative 0.2 3 1 8 , right brace left brace, negative 0.2 9 9 8 less than or equal to "y" less than or equal to negative 0.2 9 9 8 plus 0.2 2 7 6min left parenthesis, 0.9 , "a" , right parenthesis times 10 ninths , right bracexcos2.36+ysin2.36−0.00320.0127+ycos2.36−xsin2.36−0.171320.052=1−0.30224≤x≤−0.2318−0.2998≤y≤−0.2998+0.2276min0.9,a·109
10
Expressão 11: StartFraction, left parenthesis, "x" cos 2.3 6 plus "y" sin 2.3 6 minus 0.0 0 3 , right parenthesis squared Over 0.0 1 2 7 , EndFraction plus StartFraction, left parenthesis, "y" cos 2.3 6 minus "x" sin 2.3 6 minus 0.1 7 1 3 , right parenthesis squared Over 0.0 5 2 , EndFraction equals 1 left brace, negative 0.2 3 1 8 less than or equal to "x" less than or equal to negative 0.2 0 7 2 , right brace left brace, negative 0.0 7 2 2 less than or equal to "y" less than or equal to negative 0.0 7 2 2 plus 0.2 7 2 left parenthesis, max left parenthesis, 0.9 , "a" , right parenthesis minus 0.9 , right parenthesis , right bracexcos2.36+ysin2.36−0.00320.0127+ycos2.36−xsin2.36−0.171320.052=1−0.2318≤x≤−0.2072−0.0722≤y≤−0.0722+0.272max0.9,a−0.9
11
Expressão 12: StartFraction, left parenthesis, "x" cos left parenthesis, StartNestedFraction, pi NestedOver 2 , EndNestedFraction minus left parenthesis, StartNestedFraction, pi NestedOver 2 , EndNestedFraction minus 1.2 , right parenthesis "a" , right parenthesis minus "y" sin left parenthesis, StartNestedFraction, pi NestedOver 2 , EndNestedFraction minus left parenthesis, StartNestedFraction, pi NestedOver 2 , EndNestedFraction minus 1.2 , right parenthesis "a" , right parenthesis minus 0.3 1 4 0 5 plus 0.0 3 4 0 5 "a" , right parenthesis squared Over 0.1 1 7 , EndFraction plus StartFraction, left parenthesis, "y" cos left parenthesis, StartNestedFraction, pi NestedOver 2 , EndNestedFraction minus left parenthesis, StartNestedFraction, pi NestedOver 2 , EndNestedFraction minus 1.2 , right parenthesis "a" , right parenthesis plus "x" sin left parenthesis, StartNestedFraction, pi NestedOver 2 , EndNestedFraction minus left parenthesis, StartNestedFraction, pi NestedOver 2 , EndNestedFraction minus 1.2 , right parenthesis "a" , right parenthesis plus 0.0 3 , right parenthesis squared Over StartNestedFraction, 1 NestedOver 5 "a" plus StartNestedFraction, 1 NestedOver 10 Superscript, 10 squared , Baseline , EndNestedFraction , EndNestedFraction , EndFraction equals 1 left brace, negative 0.2 9 6 3 plus 0.0 8 9 7 "a" less than or equal to "x" less than or equal to 0.1 3 3 7 plus 0.1 0 7 7 "a" , right brace left brace, "y" greater than or equal to 0.0 2 8 minus 0.4 2 8 "a" , right bracexcosπ2−π2−1.2a−ysinπ2−π2−1.2a−0.31405+0.03405a20.117+ycosπ2−π2−1.2a+xsinπ2−π2−1.2a+0.03215a+110102=1−0.2963+0.0897a≤x≤0.1337+0.1077ay≥0.028−0.428a
12
Expressão 13: StartFraction, left parenthesis, "x" cos left parenthesis, 3 halves pi minus left parenthesis, 3 halves pi minus 4.6 , right parenthesis "a" , right parenthesis minus "y" sin left parenthesis, 3 halves pi minus left parenthesis, 3 halves pi minus 4.6 , right parenthesis "a" , right parenthesis plus 0.2 1 6 9 4 6 minus 0.0 7 7 9 4 6 "a" , right parenthesis squared Over 0.0 6 , EndFraction plus StartFraction, left parenthesis, "y" cos left parenthesis, 3 halves pi minus left parenthesis, 3 halves pi minus 4.6 , right parenthesis "a" , right parenthesis plus "x" sin left parenthesis, 3 halves pi minus left parenthesis, 3 halves pi minus 4.6 , right parenthesis "a" , right parenthesis , right parenthesis squared Over 0.1 4 9 "a" plus StartNestedFraction, 1 NestedOver "a" plus StartNestedFraction, 1 NestedOver 10 Superscript, 10 squared , Baseline , EndNestedFraction , EndNestedFraction minus "a" , EndFraction equals 1 left brace, 0.1 3 3 7 minus 0.0 2 6 4 "a" less than or equal to "x" less than or equal to 0.3 3 3 plus 0.2 6 7 "a" , right brace left brace, 0.0 2 8 minus 0.3 9 8 8 "a" less than or equal to "y" less than or equal to negative 0.0 3 4ceil left parenthesis, "a" minus 0.9 7 , right parenthesis plus 0.1 1 , right bracexcos32π−32π−4.6a−ysin32π−32π−4.6a+0.216946−0.077946a20.06+ycos32π−32π−4.6a+xsin32π−32π−4.6a20.149a+1a+110102−a=10.1337−0.0264a≤x≤0.333+0.267a0.028−0.3988a≤y≤−0.034ceila−0.97+0.11
13
Expressão 14: "a" Subscript, 1 , Baseline equals 0.9a1=0.9
