Expression 21: "y" equals negative 0.2 "x" plus 2.4 left brace, 3.2 less than "x" less than or equal to 4.5 , right brace left brace, "y" less than 100 left parenthesis, "t" Subscript, 2 , Baseline minus 4.5 , right parenthesis , right bracey=−0.2x+2.43.2<x≤4.5y<100t2−4.5
21
Expression 22: "y" equals 5 left parenthesis, "x" minus 3.2 , right parenthesis plus 1.8 left brace, 3 less than or equal to "x" less than or equal to 3.2 , right brace left brace, "y" less than 100 left parenthesis, "t" Subscript, 2 , Baseline minus 4.5 , right parenthesis , right bracey=5x−3.2+1.83≤x≤3.2y<100t2−4.5
22
Expression 23: "y" equals negative StartFraction, 8 Over 27 , EndFraction left parenthesis, "x" minus 2.5 , right parenthesis plus 1 left brace, 1.3 1 greater than "y" greater than 5 left parenthesis, "x" minus 3.2 , right parenthesis plus 1.8 , right brace left brace, "y" less than 100 left parenthesis, "t" Subscript, 2 , Baseline minus 4.5 , right parenthesis , right bracey=−827x−2.5+11.31>y>5x−3.2+1.8y<100t2−4.5
23
Expression 24: min left parenthesis, negative left parenthesis, left parenthesis, "x" minus 1.1 5 , right parenthesis left parenthesis, "x" minus 2.5 , right parenthesis plus left parenthesis, "y" minus 1.4 , right parenthesis left parenthesis, "y" minus 1 , right parenthesis , right parenthesis , left parenthesis, "x" minus 1.1 5 , right parenthesis squared plus left parenthesis, "y" minus 1.4 , right parenthesis squared minus 0.1 , left parenthesis, "x" minus 2.5 , right parenthesis squared plus left parenthesis, "y" minus 1 , right parenthesis squared minus 0.1 , right parenthesis greater than or equal to 0 left brace, "y" less than 100 left parenthesis, "t" Subscript, 2 , Baseline minus 4.5 , right parenthesis , right bracemin−x−1.15x−2.5+y−1.4y−1,x−1.152+y−1.42−0.1,x−2.52+y−12−0.1≥0y<100t2−4.5
24
Expression 25: StartFraction, 1 Over "t" Subscript, 2 , Baseline minus 4.5 , EndFraction minus StartFraction, 1 Over "t" Subscript, 2 , Baseline minus 4.6 , EndFraction1t2−4.5−1t2−4.6
Expression 26: "t" Subscript, 0 , Baseline equals min left parenthesis, 4 , "t" Subscript, 2 , Baseline , right parenthesist0=min4,t2
equals=
00
26
Expression 27: "P" Subscript, "i" "n" , Baseline left parenthesis, "x" , right parenthesis equals min left parenthesis, max left parenthesis, negative left parenthesis, "x" . "x" squared plus "x" . "y" squared minus 1 , right parenthesis , min left parenthesis, 0.1 minus StartAbsoluteValue, "x" . "y" , EndAbsoluteValue , "x" . "x" , 10 minus "x" . "x" , right parenthesis , right parenthesis , "x" . "x" squared plus "x" . "y" squared minus 0.6 , right parenthesisPinx=minmax−x.x2+x.y2−1,min0.1−x.y,x.x,10−x.x,x.x2+x.y2−0.6
27
Expression 28: "P" Subscript, "i" "n" , Baseline left parenthesis, 4 left parenthesis, "x" plus 0.5 plus "t" Subscript, 1 , Baseline , "y" minus 3 , right parenthesis , right parenthesis greater than or equal to 0Pin4x+0.5+t1,y−3≥0
28
Expression 29: "b" equals 16 thirds left parenthesis, max left parenthesis, 0 , "t" Subscript, 1 , Baseline minus 1.2 5 , right parenthesis , right parenthesis squaredb=163max0,t1−1.252
equals=
00
29
Expression 30: "b" Subscript, 2 , Baseline equals max left parenthesis, 0 , min left parenthesis, 0.8 8 , "t" Subscript, 2 , Baseline minus 5.5 , right parenthesis , right parenthesis squaredb2=max0,min0.88,t2−5.52
equals=
00
30
Expression 31: "P" Subscript, "i" "n" , Baseline left parenthesis, 4 left parenthesis, negative "x" plus 7.5 , "y" minus 4 , right parenthesis , right parenthesis greater than or equal to 0Pin4−x+7.5,y−4≥0
31
Expression 32: "P" Subscript, "i" "n" , Baseline left parenthesis, 4 left parenthesis, 5 plus 0.5min left parenthesis, 10 , "c" , right parenthesis minus "x" , "y" minus 6 , right parenthesis , right parenthesis greater than or equal to 0Pin45+0.5min10,c−x,y−6≥0
32
Expression 33: "P" Subscript, "i" "n" , Baseline left parenthesis, 4 left parenthesis, 2.5 plus 0.5 "t" Subscript, 0 , Baseline minus "y" , "x" minus 2.2 , right parenthesis , right parenthesis greater than or equal to 0Pin42.5+0.5t0−y,x−2.2≥0
33
Expression 34: "G" Subscript, "o" "l" "d" , Baseline left parenthesis, "x" , "y" , right parenthesis equals min left parenthesis, 2 minus StartAbsoluteValue, "x" minus 2 , EndAbsoluteValue , 1 minus StartAbsoluteValue, "y" minus max left parenthesis, negative 12 , min left parenthesis, 0 , 1.6 "x" minus 0.2 "x" squared minus "c" , right parenthesis , right parenthesis minus 1 , EndAbsoluteValue , right parenthesisGoldx,y=min2−x−2,1−y−max−12,min0,1.6x−0.2x2−c−1
34
Expression 35: "W" Subscript, "a" "t" "e" "r" 2 , Baseline left parenthesis, "x" , "y" , right parenthesis equals min left parenthesis, "f" left parenthesis, "x" , right parenthesis minus "y" , "y" , right parenthesisWater2x,y=minfx−y,y
35
Expression 36: "f" left parenthesis, "x" , right parenthesis equals left brace, "x" greater than 0 : min left parenthesis, 4 minus min left parenthesis, 2.2 5 , "t" Subscript, 0 , Baseline , right parenthesis , 0.5 "e" Superscript, negative "x" , Baseline plus min left parenthesis, 2.2 5 , "t" Subscript, 0 , Baseline , right parenthesis minus 0.5 , right parenthesis , 4 minus min left parenthesis, 2.2 5 , "t" Subscript, 0 , Baseline , right parenthesis , right bracefx=x>0:min4−min2.25,t0,0.5e−x+min2.25,t0−0.5,4−min2.25,t0
36
Expression 37: polygon left parenthesis, left parenthesis, 0 , 0 , right parenthesis , left parenthesis, 7 , 0 , right parenthesis , left parenthesis, 7 , 7 , right parenthesis , left parenthesis, 5 , 7 , right parenthesis , left parenthesis, 5 , 2 , right parenthesis , left parenthesis, 4.5 , 2 , right parenthesis , left parenthesis, 4.5 , 8 , right parenthesis , left parenthesis, 2.5 , 8 , right parenthesis , left parenthesis, 2.5 , 2 , right parenthesis , left parenthesis, 2 , 2 , right parenthesis , left parenthesis, 2 , 7 , right parenthesis , left parenthesis, 0 , 7 , right parenthesis , right parenthesispolygon0,0,7,0,7,7,5,7,5,2,4.5,2,4.5,8,2.5,8,2.5,2,2,2,2,7,0,7
37
Expression 38: polygon left parenthesis, left parenthesis, 5 , 4 , right parenthesis , left parenthesis, 7 , 4 , right parenthesis , left parenthesis, 7 , 5 , right parenthesis , left parenthesis, 5 , 5 , right parenthesis , right parenthesispolygon5,4,7,4,7,5,5,5
38
Expression 39: 0 "x" less than 10x<1
39
Expression 40: min left parenthesis, negative left parenthesis, left parenthesis, "x" minus 2.4 5 , right parenthesis squared plus left parenthesis, "y" minus 1.6 , right parenthesis squared minus 4 , right parenthesis , left parenthesis, "x" minus 2.7 8 , right parenthesis squared plus left parenthesis, "y" minus 1.3 1 , right parenthesis squared minus 4 , 1 minus StartAbsoluteValue, "y" plus "x" plus 10 left parenthesis, "t" Subscript, 2 , Baseline minus 4.5 , right parenthesis minus 6 , EndAbsoluteValue , right parenthesis less than or equal to 0min−x−2.452+y−1.62−4,x−2.782+y−1.312−4,1−y+x+10t2−4.5−6≤0
