Expression 15: "s" Subscript, "t" "x" , Baseline left parenthesis, "t" , right parenthesis equals "L" plus .6cosine left parenthesis, 2 pi "t" , right parenthesisstxt=L+.6cos2πt
15
Expression 16: "s" Subscript, "t" "y" , Baseline left parenthesis, "t" , right parenthesis equals 2 plus .5sine left parenthesis, 2 pi "t" , right parenthesisstyt=2+.5sin2πt
16
Expression 17: "s" Subscript, "b" "x" , Baseline left parenthesis, "t" , right parenthesis equals .9 plus .9cosine left parenthesis, 2 pi "t" , right parenthesissbxt=.9+.9cos2πt
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Expression 18: "s" Subscript, "b" "y" , Baseline left parenthesis, "t" , right parenthesis equals .6 plus .6sine left parenthesis, 2 pi "t" , right parenthesissbyt=.6+.6sin2πt
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Expression 19: "s" Subscript, "m" "x" , Baseline left parenthesis, "t" , right parenthesis equals 11.4 minus 4 "L" plus 162 left parenthesis, 2.4 minus "L" , right parenthesis left parenthesis, negative StartFraction, "t" cubed Over 3 , EndFraction plus StartFraction, "t" squared Over 2 , EndFraction minus StartFraction, 2 "t" Over 9 , EndFraction , right parenthesissmxt=11.4−4L+1622.4−L−t33+t22−2t9
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Expression 20: "s" Subscript, "m" "y" , Baseline left parenthesis, "t" , right parenthesis equals 2 minus 4.2 left parenthesis, "t" minus 1 third , right parenthesissmyt=2−4.2t−13
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Expression 21: "x" Subscript, "s" , Baseline left parenthesis, "t" , right parenthesis equals left brace, 0 less than or equal to "t" less than 1 third : "s" Subscript, "t" "x" , Baseline left parenthesis, .1 plus 1.2 "t" , right parenthesis , 1 third less than or equal to "t" less than 2 thirds : "s" Subscript, "m" "x" , Baseline left parenthesis, "t" , right parenthesis , 2 thirds less than or equal to "t" less than or equal to 1 : "s" Subscript, "b" "x" , Baseline left parenthesis, negative 1.5 left parenthesis, "t" minus 2 thirds , right parenthesis , right parenthesis , right bracexst=0≤t<13:stx.1+1.2t,13≤t<23:smxt,23≤t≤1:sbx−1.5t−23
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Expression 22: "y" Subscript, "s" , Baseline left parenthesis, "t" , right parenthesis equals left brace, 0 less than or equal to "t" less than 1 third : "s" Subscript, "t" "y" , Baseline left parenthesis, .1 plus 1.2 "t" , right parenthesis , 1 third less than or equal to "t" less than 2 thirds : "s" Subscript, "m" "y" , Baseline left parenthesis, "t" , right parenthesis , 2 thirds less than or equal to "t" less than or equal to 1 : "s" Subscript, "b" "y" , Baseline left parenthesis, negative 1.5 left parenthesis, "t" minus 2 thirds , right parenthesis , right parenthesis , right braceyst=0≤t<13:sty.1+1.2t,13≤t<23:smyt,23≤t≤1:sby−1.5t−23
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Expression 23: "L" equals 1L=1
negative 10−10
1010
23
Expression 24: "x" Subscript, 0 , Baseline left parenthesis, "t" , right parenthesis equals 1.1 plus 1.1cosine left parenthesis, 2 pi left parenthesis, "t" plus .2 5 , right parenthesis , right parenthesisx0t=1.1+1.1cos2πt+.25
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Expression 25: "y" Subscript, 0 , Baseline left parenthesis, "t" , right parenthesis equals 1.2 5 plus 1.2 5sine left parenthesis, 2 pi left parenthesis, "t" plus .2 5 , right parenthesis , right parenthesisy0t=1.25+1.25sin2πt+.25
