Expression 11: "x" squared plus "y" squared equals 110 "e" Superscript, StartFraction, "p" minus "t" Over 2 , EndFraction , Baseline plus 5 left brace, "z" equals "p" minus "t" , right bracex2+y2=110ep−t2+5z=p−t
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Expression 12: "x" squared plus "y" squared equals 110 "e" Superscript, StartFraction, "z" Over 2 , EndFraction , Baseline plus 5 left brace, "x" equals 0 , right bracex2+y2=110ez2+5x=0
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Expression 13: "x" squared plus "y" squared equals 110 "e" Superscript, StartFraction, "z" Over 2 , EndFraction , Baseline plus 5 left brace, "y" equals 0 , right bracex2+y2=110ez2+5y=0
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Expression 14: "x" squared plus "y" squared equals 110 "e" Superscript, StartFraction, "z" Over 2 , EndFraction , Baseline plus 5 left brace, "x" plus "y" equals 0 , right bracex2+y2=110ez2+5x+y=0
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Expression 15: "x" squared plus "y" squared equals 110 "e" Superscript, StartFraction, "z" Over 2 , EndFraction , Baseline plus 5 left brace, "x" minus "y" equals 0 , right bracex2+y2=110ez2+5x−y=0
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Expression 16: "x" squared plus "y" squared plus "z" squared equals 6x2+y2+z2=6
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Expression 17: left parenthesis, "x" plus 8 times cos left parenthesis, "t" Subscript, 2 , Baseline , right parenthesis , right parenthesis squared plus left parenthesis, "y" plus 8 times sin left parenthesis, "t" Subscript, 2 , Baseline , right parenthesis , right parenthesis squared plus left parenthesis, "z" minus 1 half , right parenthesis squared equals 3x+8·cost22+y+8·sint22+z−122=3
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Expression 18: "A" equals negative 8 times cosine left parenthesis, "t" Subscript, 2 , Baseline , right parenthesis plus 3 times cosine left parenthesis, "t" Subscript, 3 , Baseline , right parenthesisA=−8·cost2+3·cost3
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Expression 19: "B" equals negative 8 times sine left parenthesis, "t" Subscript, 2 , Baseline , right parenthesis plus 3 times sine left parenthesis, "t" Subscript, 3 , Baseline , right parenthesisB=−8·sint2+3·sint3
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Expression 20: "C" equals 1 half plus 2 times natural log left parenthesis, StartFraction, left parenthesis, "A" squared plus "B" squared minus 5 , right parenthesis Over 110 , EndFraction , right parenthesisC=12+2·lnA2+B2−5110
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Expression 21: left parenthesis, "x" minus "A" , right parenthesis squared plus left parenthesis, "y" minus "B" , right parenthesis squared plus left parenthesis, "z" minus "C" minus 1 half , right parenthesis squared equals 3 quartersx−A2+y−B2+z−C−122=34
