Expression 16: "Y" Subscript, 2 , Baseline equals StartFraction, "R" Over 2 , EndFraction plus StartFraction, "R" Over 2 , EndFraction sine left parenthesis, "t" plus phi plus StartFraction, pi Over 2 , EndFraction , right parenthesisY2=R2+R2sint+ϕ+π2
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Expression 17: left parenthesis, "X" Subscript, 3 , Baseline , "Y" Subscript, 3 , Baseline left brace, StartFraction, pi Over 4 , EndFraction less than "t" less than StartFraction, 3 pi Over 4 , EndFraction , right brace , right parenthesisX3,Y3π4<t<3π4
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: tauτ
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Expression 18: "X" Subscript, 3 , Baseline equals negative StartFraction, "R" Over 2 , EndFraction plus StartFraction, "R" Over 2 , EndFraction cosine left parenthesis, "t" plus phi plus pi , right parenthesisX3=−R2+R2cost+ϕ+π
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Expression 19: "Y" Subscript, 3 , Baseline equals StartFraction, "R" Over 2 , EndFraction sine left parenthesis, "t" plus phi plus pi , right parenthesisY3=R2sint+ϕ+π
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Expression 20: left parenthesis, "X" Subscript, 4 , Baseline , "Y" Subscript, 4 , Baseline left brace, StartFraction, pi Over 4 , EndFraction less than "t" less than StartFraction, 3 pi Over 4 , EndFraction , right brace , right parenthesisX4,Y4π4<t<3π4
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: tauτ
20
Expression 21: "X" Subscript, 4 , Baseline equals StartFraction, "R" Over 2 , EndFraction cosine left parenthesis, "t" plus phi plus StartFraction, 3 pi Over 2 , EndFraction , right parenthesisX4=R2cost+ϕ+3π2
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Expression 22: "Y" Subscript, 4 , Baseline equals negative StartFraction, "R" Over 2 , EndFraction plus StartFraction, "R" Over 2 , EndFraction sine left parenthesis, "t" plus phi plus StartFraction, 3 pi Over 2 , EndFraction , right parenthesisY4=−R2+R2sint+ϕ+3π2
22
Expression 23: left parenthesis, 0 plus left bracket, negative StartFraction, "R" Over 2 , EndFraction , StartFraction, "R" Over 2 , EndFraction , right bracket "t" , 0 plus StartFraction, "R" Over 2 , EndFraction "t" left brace, alpha greater than StartFraction, pi Over 4 , EndFraction , right brace , right parenthesis0+−R2,R2t,0+R2tα>π4
domain t Minimum: negative 1−1
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 11
23
Coloured Areas
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Expression 25: StartRoot, StartFraction, "R" squared Over 4 , EndFraction minus left parenthesis, "x" minus StartFraction, "R" Over 2 , EndFraction , right parenthesis squared , EndRoot less than or equal to "y" less than or equal to negative "x" plus "R" left brace, 0 less than or equal to "x" less than or equal to StartFraction, "R" Over 2 , EndFraction , right braceR24−x−R22≤y≤−x+R0≤x≤R2
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Expression 26: negative StartRoot, StartFraction, "R" squared Over 4 , EndFraction minus left parenthesis, "y" minus StartFraction, "R" Over 2 , EndFraction , right parenthesis squared , EndRoot greater than or equal to "x" greater than or equal to "y" minus "R" left brace, 0 less than or equal to "y" less than or equal to StartFraction, "R" Over 2 , EndFraction , right brace−R24−y−R22≥x≥y−R0≤y≤R2
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Expression 27: negative StartRoot, StartFraction, "R" squared Over 4 , EndFraction minus left parenthesis, "x" plus StartFraction, "R" Over 2 , EndFraction , right parenthesis squared , EndRoot greater than or equal to "y" greater than or equal to negative "x" minus "R" left brace, negative StartFraction, "R" Over 2 , EndFraction less than or equal to "x" less than or equal to 0 , right brace−R24−x+R22≥y≥−x−R−R2≤x≤0
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Expression 28: StartRoot, StartFraction, "R" squared Over 4 , EndFraction minus left parenthesis, "y" plus StartFraction, "R" Over 2 , EndFraction , right parenthesis squared , EndRoot less than or equal to "x" less than or equal to "y" plus "R" left brace, negative StartFraction, "R" Over 2 , EndFraction less than or equal to "y" less than or equal to 0 , right braceR24−y+R22≤x≤y+R−R2≤y≤0
28
Homemade Slider
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29
Hidden Label: left parenthesis, StartFraction, negative 10 minus StartAbsoluteValue, "R" , EndAbsoluteValue Over 2 , EndFraction , 0 plus StartFraction, StartAbsoluteValue, "R" , EndAbsoluteValue Over 2 , EndFraction alpha , right parenthesis−10−R2,0+R2α
Label
equals=
left parenthesis, negative 8.2 5 , 2.8 6 9 7 5 , right parenthesis−8.25,2.86975
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Expression 31: left parenthesis, StartFraction, negative 10 minus StartAbsoluteValue, "R" , EndAbsoluteValue Over 2 , EndFraction , 0 plus StartFraction, StartAbsoluteValue, "R" , EndAbsoluteValue Over 2 , EndFraction alpha plus StartFraction, "t" Over 2 , EndFraction , right parenthesis−10−R2,0+R2α+t2
domain t Minimum: negative 1−1
less than or equal to "t" less than or equal to≤t≤