Expression 14: theta Subscript, 1 , Baseline equals StartRoot, "R" squared minus "x" squared , EndRootθ1=R2−x2
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Expression 15: theta Subscript, 2 , Baseline equals StartRoot, "R" squared minus left parenthesis, "x" minus "M" Subscript, 1 , Baseline , right parenthesis squared , EndRoot plus "M" Subscript, 2 , Baselineθ2=R2−x−M12+M2
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Graphs
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Expression 17: theta Subscript, 1 , Baseline less than or equal to "y" less than or equal to theta Subscript, 2 , Baseline left brace, "L" Subscript, 1 , Baseline less than or equal to "x" less than or equal to "M" Subscript, 1 , Baseline , right braceθ1≤y≤θ2L1≤x≤M1
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Expression 18: negative theta Subscript, 1 , Baseline greater than or equal to "y" greater than or equal to negative theta Subscript, 2 , Baseline left brace, "L" Subscript, 1 , Baseline less than or equal to "x" less than or equal to "M" Subscript, 1 , Baseline , right brace−θ1≥y≥−θ2L1≤x≤M1
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Expression 19: left parenthesis, "M" Subscript, 1 , Baseline plus "R" cos "t" , "M" Subscript, 2 , Baseline plus "R" sin "t" , right parenthesisM1+Rcost,M2+Rsint
domain t Minimum: 9090
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 270270
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Expression 20: left parenthesis, "R" cos "t" , "R" sin "t" , right parenthesisRcost,Rsint
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 360360
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Expression 21: left parenthesis, "M" Subscript, 1 , Baseline , "M" Subscript, 2 , Baseline plus "t" "R" , right parenthesisM1,M2+tR
domain t Minimum: negative 1−1
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 11
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Expression 22: left parenthesis, "O" Subscript, 1 , Baseline plus "R" "t" , "O" Subscript, 2 , Baseline , right parenthesisO1+Rt,O2
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤