Expression 8: "s" left parenthesis, "x" , right parenthesis equals "s" Subscript, 0 , Baseline alpha Superscript, 1 , Baseline "x" undefined plus "s" Subscript, "i" "n" "f" , Baseline times left parenthesis, 1 minus alpha Superscript, 1 , Baseline "x" undefined , right parenthesissx=s0αx1+sinf·1−αx1
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Expression 9: "w" left parenthesis, "x" , right parenthesis equals left parenthesis, "r" Subscript, 0 , Baseline plus "s" Subscript, 0 , Baseline , right parenthesis alpha Superscript, 1 , Baseline "x" undefined plus "p" Subscript, 0 , Baseline alpha Superscript, 2 , Baseline "x" undefined plus left parenthesis, "r" Subscript, "i" "n" "f" , Baseline plus "s" Subscript, "i" "n" "f" , Baseline , right parenthesis left parenthesis, 1 minus alpha Superscript, 1 , Baseline "x" undefined , right parenthesis plus "p" Subscript, "i" "n" "f" , Baseline left parenthesis, 1 minus alpha Superscript, 2 , Baseline "x" undefined , right parenthesiswx=r0+s0αx1+p0αx2+rinf+sinf1−αx1+pinf1−αx2
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Expression 10: "l" left parenthesis, "x" , right parenthesis equals StartFraction, Start integral from 0 to "x" , end integral, "w" left parenthesis, "n" , right parenthesis "d" "n" Over "x" , EndFractionlx=∫x0wndnx
Expression 15: "p" left parenthesis, "x" , right parenthesis equals "p" Subscript, 0 , Baseline alpha Superscript, 2 , Baseline "x" undefined plus "p" Subscript, "i" "n" "f" , Baseline times left parenthesis, 1 minus alpha Superscript, 2 , Baseline "x" undefined , right parenthesispx=p0αx2+pinf·1−αx2