Expression 11: "w" Subscript, "m" , Baseline equals 2 times pi times "f" Subscript, "m" , Baselinewm=2·π·fm
equals=
29.5 3 0 9 7 0 9 4 3 729.5309709437
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Expression 12: "f" Subscript, 1 , Baseline left parenthesis, "t" , right parenthesis equals "J" left parenthesis, 0 , "k" Subscript, "f" , Baseline , right parenthesis plus 2 times "J" left parenthesis, 2 , "k" Subscript, "f" , Baseline , right parenthesis times cosine left parenthesis, 2 times "w" Subscript, "m" , Baseline times "t" , right parenthesis plus 2 times "J" left parenthesis, 4 , "k" Subscript, "f" , Baseline , right parenthesis times cosine left parenthesis, 4 times "w" Subscript, "m" , Baseline "t" , right parenthesis plus 2 times "J" left parenthesis, 6 , "k" Subscript, "f" , Baseline , right parenthesis times cosine left parenthesis, 6 times "w" Subscript, "m" , Baseline "t" , right parenthesis left brace, "t" greater than 0 , right bracef1t=J0,kf+2·J2,kf·cos2·wm·t+2·J4,kf·cos4·wmt+2·J6,kf·cos6·wmtt>0
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Expression 13: "f" Subscript, 2 , Baseline left parenthesis, "t" , right parenthesis equals 2 times "J" left parenthesis, 1 , "k" Subscript, "f" , Baseline , right parenthesis times sine left parenthesis, "w" Subscript, "m" , Baseline times "t" , right parenthesis plus 2 times "J" left parenthesis, 3 , "k" Subscript, "f" , Baseline , right parenthesis times sine left parenthesis, 3 times "w" Subscript, "m" , Baseline "t" , right parenthesis plus 2 times "J" left parenthesis, 5 , "k" Subscript, "f" , Baseline , right parenthesis times sine left parenthesis, 5 times "w" Subscript, "m" , Baseline "t" , right parenthesis plus 2 times "J" left parenthesis, 7 , "k" Subscript, "f" , Baseline , right parenthesis times sine left parenthesis, 7 times "w" Subscript, "m" , Baseline "t" , right parenthesis left brace, "t" greater than 0 , right bracef2t=2·J1,kf·sinwm·t+2·J3,kf·sin3·wmt+2·J5,kf·sin5·wmt+2·J7,kf·sin7·wmtt>0
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Expression 14: "f" Subscript, 3 , Baseline left parenthesis, "t" , right parenthesis equals "J" left parenthesis, 0 , 2 , right parenthesis plus 2 times "J" left parenthesis, 2 , 2 , right parenthesis times cosine left parenthesis, 2 times "w" Subscript, "m" , Baseline times "t" , right parenthesis plus 2 times "J" left parenthesis, 4 , 2 , right parenthesis times cosine left parenthesis, 4 times "w" Subscript, "m" , Baseline "t" , right parenthesis plus 2 times "J" left parenthesis, 6 , 2 , right parenthesis times cosine left parenthesis, 6 times "w" Subscript, "m" , Baseline "t" , right parenthesis left brace, "t" greater than 0 , right bracef3t=J0,2+2·J2,2·cos2·wm·t+2·J4,2·cos4·wmt+2·J6,2·cos6·wmtt>0
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Expression 15: "f" Subscript, 4 , Baseline left parenthesis, "t" , right parenthesis equals 2 times "J" left parenthesis, 1 , 2 , right parenthesis times sine left parenthesis, "w" Subscript, "m" , Baseline times "t" , right parenthesis plus 2 times "J" left parenthesis, 3 , 2 , right parenthesis times sine left parenthesis, 3 times "w" Subscript, "m" , Baseline "t" , right parenthesis plus 2 times "J" left parenthesis, 5 , 2 , right parenthesis times sine left parenthesis, 5 times "w" Subscript, "m" , Baseline "t" , right parenthesis plus 2 times "J" left parenthesis, 7 , 2 , right parenthesis times sine left parenthesis, 7 times "w" Subscript, "m" , Baseline "t" , right parenthesis left brace, "t" greater than 0 , right bracef4t=2·J1,2·sinwm·t+2·J3,2·sin3·wmt+2·J5,2·sin5·wmt+2·J7,2·sin7·wmtt>0
Expression 18: "w" Subscript, "c" , Baseline equals 2 times pi times "f" Subscript, "c" , Baseline equals 628.3 1 8 5 3 0 7 1 8wc=2·π·fc
equals=
628.3 1 8 5 3 0 7 1 8628.318530718
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Expression 19: "s" Subscript, 1 , Baseline left parenthesis, "t" , right parenthesis equals cosine left parenthesis, "w" Subscript, "c" , Baseline "t" , right parenthesis times "f" Subscript, 1 , Baseline left parenthesis, "t" , right parenthesis minus sine left parenthesis, "w" Subscript, "c" , Baseline "t" , right parenthesis times "f" Subscript, 2 , Baseline left parenthesis, "t" , right parenthesis left brace, "t" greater than 0 , right brace Has graph. To audio trace, press ALT+T.s1t=coswct·f1t−sinwct·f2tt>0
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Expression 20: "s" Subscript, 2 , Baseline left parenthesis, "t" , right parenthesis equals cosine left parenthesis, "w" Subscript, "c" , Baseline "t" , right parenthesis times "f" Subscript, 3 , Baseline left parenthesis, "t" , right parenthesis minus sine left parenthesis, "w" Subscript, "c" , Baseline "t" , right parenthesis times "f" Subscript, 4 , Baseline left parenthesis, "t" , right parenthesis left brace, "t" greater than 0 , right brace Has graph. To audio trace, press ALT+T.s2t=coswct·f3t−sinwct·f4tt>0