Expression 7: "y" equals left brace, "w" Subscript, 0 , Baseline greater than "d" : "A" exp left parenthesis, negative "d" "x" , right parenthesis cos left parenthesis, "w" "x" , right parenthesis left brace, "x" greater than 0 , right brace , "w" Subscript, 0 , Baseline equals "d" : "A" exp left parenthesis, negative "d" "x" , right parenthesis left brace, "x" greater than 0 , right brace , "w" Subscript, 0 , Baseline less than "d" : "A" exp left parenthesis, negative "d" "x" , right parenthesis times exp left parenthesis, StartRoot, "d" squared minus "w" squared , EndRoot "x" , right parenthesis left brace, "x" greater than 0 , right brace , right bracey=w0>d:Aexp−dxcoswxx>0,w0=d:Aexp−dxx>0,w0<d:Aexp−dx·expd2−w20xx>0
7
Function envelopes
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Expression 9: "y" equals left brace, "w" 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=w0>d:Aexp−dxx>0
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Expression 10: "y" equals left brace, "w" 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=w0>d:−Aexp−dxx>0