Expression 11: left parenthesis, "c" Subscript, "x" , Baseline , "c" Subscript, "y" , Baseline , right parenthesiscx,cy
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Expression 12: left parenthesis, "x" negative "c" Subscript, "x" , Baseline , right parenthesis squared plus left parenthesis, "y" negative "c" Subscript, "y" , Baseline , right parenthesis squared equals "r" squared left brace, 1 greater than "x" greater than 0 , right brace left brace, 1 greater than "y" greater than 0 , right bracex−cx2+y−cy2=r2c1>x>01>y>0
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Expression 13: "b" Subscript, 0 , Baseline equals left brace, StartRoot, left parenthesis, "x" Subscript, 1 , Baseline negative "c" Subscript, "x" , Baseline left bracket, 0 , right bracket , right parenthesis squared , EndRoot less than "r" Subscript, "c" , Baseline left bracket, 0 , right bracket : 0 , 1 , right braceb0=x1−cx02<rc0:0,1
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Expression 14: "b" Subscript, 1 , Baseline equals left brace, StartRoot, left parenthesis, "x" Subscript, 1 , Baseline negative "c" Subscript, "x" , Baseline left bracket, 1 , right bracket , right parenthesis squared , EndRoot less than "r" Subscript, "c" , Baseline left bracket, 1 , right bracket : 0 , 1 , right braceb1=x1−cx12<rc1:0,1
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Expression 15: "b" Subscript, 2 , Baseline equals left brace, StartRoot, left parenthesis, "x" Subscript, 1 , Baseline negative "c" Subscript, "x" , Baseline left bracket, 2 , right bracket , right parenthesis squared , EndRoot less than "r" Subscript, "c" , Baseline left bracket, 2 , right bracket : 0 , 1 , right braceb2=x1−cx22<rc2:0,1
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Expression 16: "b" Subscript, 3 , Baseline equals left brace, StartRoot, left parenthesis, "x" Subscript, 1 , Baseline negative "c" Subscript, "x" , Baseline left bracket, 3 , right bracket , right parenthesis squared , EndRoot less than "r" Subscript, "c" , Baseline left bracket, 3 , right bracket : 0 , 1 , right braceb3=x1−cx32<rc3:0,1
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Expression 17: "b" left parenthesis, "n" , right parenthesis equals left brace, StartRoot, left parenthesis, "x" Subscript, 1 , Baseline negative "c" Subscript, "x" , Baseline left bracket, "n" , right bracket , right parenthesis squared plus left parenthesis, "y" Subscript, 1 , Baseline negative "c" Subscript, "y" , Baseline left bracket, "n" , right bracket , right parenthesis squared , EndRoot less than "r" Subscript, "c" , Baseline left bracket, "n" , right bracket : 0 , 1 , right bracebn=x1−cxn2+y1−cyn2<rcn:0,1
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Expression 18: "b" Subscript, "t" , Baseline left parenthesis, "n" , right parenthesis equals left brace, StartRoot, left parenthesis, "x" Subscript, 2 , Baseline negative "c" Subscript, "x" , Baseline left bracket, "n" , right bracket , right parenthesis squared plus left parenthesis, "y" Subscript, 2 , Baseline negative "c" Subscript, "y" , Baseline left bracket, "n" , right bracket , right parenthesis squared , EndRoot less than "r" Subscript, "c" , Baseline left bracket, "n" , right bracket : 0 , 1 , right bracebtn=x2−cxn2+y2−cyn2<rcn:0,1
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Expression 19: "n" equals left bracket, 1 , ...1 0 , right bracketn=1,...10
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Expression 20: "c" Subscript, "t" , Baseline equals Start sum from "n" equals 1 to 10, end sum, "b" left parenthesis, "n" , right parenthesisct=10∑n=1bn
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Expression 21: "c" Subscript, "t" , Baseline left bracket, 10 , right bracketct10
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Expression 22: "c" Subscript, "t" 2 , Baseline equals Start sum from "n" equals 1 to 10, end sum, "b" Subscript, "t" , Baseline left parenthesis, "n" , right parenthesisct2=10∑n=1btn
