Expression 36: "m" Subscript, 2 , Baseline equals tangent left parenthesis, left parenthesis, tan to the negative 1st power "m" Subscript, 1 , Baseline , right parenthesis minus "A" Subscript, "K" "O" , Baseline , right parenthesism2=tantan−1m1−AKO
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Expression 37: "f" left parenthesis, "x" , right parenthesis equals "m" Subscript, 2 , Baseline left parenthesis, "x" minus "K" Subscript, 1 , Baseline , right parenthesis plus "K" Subscript, 2 , Baselinefx=m2x−K1+K2
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Expression 38: "g" left parenthesis, "x" , right parenthesis equals negative StartRoot, "R" squared minus "x" squared , EndRootgx=−R2−x2
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Expression 39: "f" left parenthesis, "L" Subscript, 1 , Baseline , right parenthesis tilde "g" left parenthesis, "L" Subscript, 1 , Baseline , right parenthesis left brace, "L" Subscript, 1 , Baseline less than "O" Subscript, 1 , Baseline , right bracefL1~gL1L1<O1
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Expression 40: "L" Subscript, 2 , Baseline equals "g" left parenthesis, "L" Subscript, 1 , Baseline , right parenthesisL2=gL1
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Expression 41: "M" Subscript, 1 , Baseline equals "L" Subscript, 1 , Baseline plus StartFraction, "X" plus 5 Over "X" , EndFraction left parenthesis, "K" Subscript, 1 , Baseline minus "L" Subscript, 1 , Baseline , right parenthesisM1=L1+X+5XK1−L1
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Expression 42: "M" Subscript, 2 , Baseline equals "L" Subscript, 2 , Baseline plus StartFraction, "X" plus 5 Over "X" , EndFraction left parenthesis, "K" Subscript, 2 , Baseline minus "L" Subscript, 2 , Baseline , right parenthesisM2=L2+X+5XK2−L2
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Expression 43: "h" left parenthesis, "x" , right parenthesis equals StartRoot, "R" squared minus "x" squared , EndRoothx=R2−x2
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Expression 44: "j" left parenthesis, "x" , right parenthesis equals "m" Subscript, 1 , Baseline "x"jx=m1x
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Expression 45: "h" left parenthesis, "D" Subscript, 1 , Baseline , right parenthesis tilde "j" left parenthesis, "D" Subscript, 1 , Baseline , right parenthesishD1~jD1
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Expression 46: "D" Subscript, 2 , Baseline equals "j" left parenthesis, "D" Subscript, 1 , Baseline , right parenthesisD2=jD1
Expression 48: "y" equals "m" Subscript, 3 , Baseline left parenthesis, "x" minus "M" Subscript, 1 , Baseline , right parenthesis plus "M" Subscript, 2 , Baseliney=m3x−M1+M2
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Expression 49: "y" equals negative StartRoot, "R" squared minus "x" squared , EndRooty=−R2−x2
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Expression 50: "m" Subscript, 3 , Baseline left parenthesis, "x" minus "M" Subscript, 1 , Baseline , right parenthesis plus "M" Subscript, 2 , Baseline equals negative StartRoot, "R" squared minus "x" squared , EndRootm3x−M1+M2=−R2−x2
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Expression 51: "a" "x" squared plus "b" "x" plus "c" equals 0ax2+bx+c=0
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Expression 52: "a" equals 1 plus "m" squareda=1+m23