Expression 12: "s" Subscript, "i" "n" , Baseline left parenthesis, "t" , right parenthesis equals "k" Subscript, 2 , Baseline left parenthesis, "b" "t" plus phi , right parenthesis plus "v" left brace, "t" greater than or equal to 0 , right brace Has graph. To audio trace, press ALT+T.sint=k2bt+ϕ+vt≥0
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Expression 13: "M" left parenthesis, "t" , right parenthesis equals secant left parenthesis, StartFraction, 2 Over "n" , EndFraction sin to the negative 1st power left parenthesis, sin StartFraction, "n" "t" Over 2 , EndFraction , right parenthesis , right parenthesisMt=sec2nsin−1sinnt2
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Expression 14: "g" left parenthesis, "t" , right parenthesis equals "a" cosine "t"gt=acost
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Expression 15: "f" left parenthesis, "t" , right parenthesis equals "a" sine "t"ft=asint
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Expression 16: "k" Subscript, 1 , Baseline left parenthesis, "t" , right parenthesis equals "M" left parenthesis, "t" , right parenthesis "g" left parenthesis, "t" , right parenthesisk1t=Mtgt
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Expression 17: "k" Subscript, 2 , Baseline left parenthesis, "t" , right parenthesis equals "M" left parenthesis, "t" , right parenthesis "f" left parenthesis, "t" , right parenthesisk2t=Mtft
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Expression 18: "P" Subscript, "x" , Baseline equals "k" Subscript, 1 , Baseline left parenthesis, phi , right parenthesisPx=k1ϕ
Expression 20: left parenthesis, "t" left parenthesis, "h" plus "a" cos phi , right parenthesis , "v" plus "a" sin phi , right parenthesis Has graph.th+acosϕ,v+asinϕ
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domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
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domain t Maximum:
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Hidden Label: left parenthesis, 0 , "v" plus "a" sin phi , right parenthesis0,v+asinϕ
Label
equals=
left parenthesis, 0 , 2.4 4 6 5 0 0 1 1 , right parenthesis0,2.44650011
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Expression 22: left parenthesis, "h" plus "t" "P" Subscript, "x" , Baseline , "v" plus "t" "P" Subscript, "y" , Baseline , right parenthesis Has graph.h+tPx,v+tPy
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domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
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domain t Maximum:
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Expression 23: left parenthesis, left parenthesis, "h" plus "P" Subscript, "x" , Baseline , right parenthesis "t" , "v" plus "P" Subscript, "y" , Baseline , right parenthesis Has graph.h+Pxt,v+Py
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domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
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domain t Maximum:
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"s" Subscript, "i" "n" , Baseline left parenthesis, "t" , right parenthesis equals "k" Subscript, 2 , Baseline left parenthesis, "b" "t" plus phi , right parenthesis plus "v" left brace, "t" greater than or equal to 0 , right bracesint=k2bt+ϕ+vt≥0