Expression 30: left parenthesis, "Q" Subscript, 1 , Baseline left parenthesis, "t" , right parenthesis , "P" Subscript, 1 , Baseline left parenthesis, "t" , right parenthesis , right parenthesisQ1t,P1t
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 2020
30
Expression 31: left parenthesis, "Q" Subscript, 2 , Baseline left parenthesis, "t" , right parenthesis , "P" Subscript, 2 , Baseline left parenthesis, "t" , right parenthesis , right parenthesisQ2t,P2t
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 2020
31
Expression 32: left parenthesis, "Q" Subscript, "f" , Baseline left parenthesis, "t" , right parenthesis , "P" Subscript, "f" , Baseline left parenthesis, "t" , right parenthesis , right parenthesisQft,Pft
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 1010
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Tangents and Normals
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Hidden Label: left parenthesis, "Q" Subscript, 1 , Baseline left parenthesis, "l" , right parenthesis , "P" Subscript, 1 , Baseline left parenthesis, "l" , right parenthesis , right parenthesisQ1l,P1l
Hidden Label: left parenthesis, "Q" Subscript, 2 , Baseline left parenthesis, "l" , right parenthesis , "P" Subscript, 2 , Baseline left parenthesis, "l" , right parenthesis , right parenthesisQ2l,P2l
The slope of the tangent is the derivative of Q divided by the derivative of P.
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Expression 37: "x" Subscript, 1 , Baseline equals StartFraction, "q" Subscript, 1 , Baseline left parenthesis, "l" , right parenthesis Over "p" Subscript, 1 , Baseline left parenthesis, "l" , right parenthesis , EndFraction left parenthesis, "y" negative "P" Subscript, 1 , Baseline left parenthesis, "l" , right parenthesis , right parenthesis plus "Q" Subscript, 1 , Baseline left parenthesis, "l" , right parenthesisx1=q1lp1ly−P1l+Q1l
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Expression 38: "x" Subscript, 1 , Baseline equals negative StartFraction, "p" Subscript, 1 , Baseline left parenthesis, "l" , right parenthesis Over "q" Subscript, 1 , Baseline left parenthesis, "l" , right parenthesis , EndFraction left parenthesis, "y" negative "P" Subscript, 1 , Baseline left parenthesis, "l" , right parenthesis , right parenthesis plus "Q" Subscript, 1 , Baseline left parenthesis, "l" , right parenthesisx1=−p1lq1ly−P1l+Q1l
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Expression 39: "x" Subscript, "f" , Baseline equals negative StartFraction, "p" Subscript, "f" , Baseline left parenthesis, "l" , right parenthesis Over "q" Subscript, "f" , Baseline left parenthesis, "l" , right parenthesis , EndFraction left parenthesis, "y" negative "P" Subscript, "f" , Baseline left parenthesis, "l" , right parenthesis , right parenthesis plus "Q" Subscript, "f" , Baseline left parenthesis, "l" , right parenthesisxf=−pflqfly−Pfl+Qfl
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Expression 40: "x" Subscript, "f" , Baseline equals StartFraction, "q" Subscript, "f" , Baseline left parenthesis, "l" , right parenthesis Over "p" Subscript, "f" , Baseline left parenthesis, "l" , right parenthesis , EndFraction left parenthesis, "y" negative "P" Subscript, "f" , Baseline left parenthesis, "l" , right parenthesis , right parenthesis plus "Q" Subscript, "f" , Baseline left parenthesis, "l" , right parenthesisxf=qflpfly−Pfl+Qfl
40
Hidden Label: left parenthesis, "Q" Subscript, "f" , Baseline left parenthesis, "l" , right parenthesis , "P" Subscript, "f" , Baseline left parenthesis, "l" , right parenthesis , right parenthesisQfl,Pfl