Expression 8: "y" equals left brace, omega Subscript, 0 , Baseline greater than "d" : "A" exp left parenthesis, negative "d" "x" , right parenthesis cos left parenthesis, omega "x" , right parenthesis left brace, "x" greater than 0 , right brace , omega Subscript, 0 , Baseline equals "d" : "A" exp left parenthesis, negative "d" "x" , right parenthesis left brace, "x" greater than 0 , right brace , omega Subscript, 0 , Baseline less than "d" : "A" exp left parenthesis, negative "d" "x" , right parenthesis times exp left parenthesis, StartRoot, "d" squared minus omega squared , EndRoot "x" , right parenthesis left brace, "x" greater than 0 , right brace , right bracey=ω0>d:Aexp−dxcosωxx>0,ω0=d:Aexp−dxx>0,ω0<d:Aexp−dx·expd2−ω20xx>0
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Function envelopes and display
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Expression 10: "y" equals left brace, omega Subscript, 0 , Baseline greater than "d" : "A" exp left parenthesis, negative "d" "x" , right parenthesis left brace, "x" greater than 0 , right brace , right bracey=ω0>d:Aexp−dxx>0
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Expression 11: "y" equals left brace, omega Subscript, 0 , Baseline greater than "d" : negative "A" exp left parenthesis, negative "d" "x" , right parenthesis left brace, "x" greater than 0 , right brace , right bracey=ω0>d:−Aexp−dxx>0
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`\omega_0` left parenthesis, omega Subscript, 0 , Baseline plus 3 , 2 , right parenthesisω0+3,2
Label:
equals=
left parenthesis, 5 , 2 , right parenthesis5,2
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d: left parenthesis, "d" plus 3 , 1.5 , right parenthesisd+3,1.5
Label:
equals=
left parenthesis, 3.2 , 1.5 , right parenthesis3.2,1.5