Expression 5: "f" Subscript, "s" "c" "a" "l" "e" , Baseline left parenthesis, "x" , right parenthesis equals StartFraction, left parenthesis, StartNestedFraction, "x" NestedOver beta Subscript, "s" "c" "a" "l" "e" , Baseline , EndNestedFraction , right parenthesis Superscript, alpha , Baseline exp left parenthesis, negative StartNestedFraction, "x" NestedOver beta Subscript, "s" "c" "a" "l" "e" , Baseline , EndNestedFraction , right parenthesis Over "x" , EndFraction left brace, "x" greater than 0 , right bracefscalex=xβscaleαexp−xβscalexx>0
5
Expression 6: "f" Subscript, "r" "a" "t" "e" , Baseline left parenthesis, "x" , right parenthesis equals StartFraction, left parenthesis, beta Subscript, "r" "a" "t" "e" , Baseline "x" , right parenthesis Superscript, alpha , Baseline exp left parenthesis, negative beta Subscript, "r" "a" "t" "e" , Baseline "x" , right parenthesis Over "x" , EndFraction left brace, "x" greater than 0 , right bracefratex=βratexαexp−βratexxx>0
6
Expression 7: "u" equals 10000u=10000
negative 10−10
1000010000
7
Expression 8: "C" equals Start integral from 0 to "u" , end integral, "f" Subscript, "s" "c" "a" "l" "e" , Baseline left parenthesis, "x" , right parenthesis "d" "x" equals 24C=∫u0fscalexdx
equals=
2424
8
Expression 9: "G" Subscript, "s" "c" "a" "l" "e" , Baseline left parenthesis, "x" , right parenthesis equals StartFraction, "f" Subscript, "s" "c" "a" "l" "e" , Baseline left parenthesis, "x" , right parenthesis Over "C" , EndFraction Has graph. To audio trace, press ALT+T.Gscalex=fscalexC
9
Expression 10: "G" Subscript, "r" "a" "t" "e" , Baseline left parenthesis, "x" , right parenthesis equals StartFraction, "f" Subscript, "r" "a" "t" "e" , Baseline left parenthesis, "x" , right parenthesis Over "C" , EndFraction Has graph. To audio trace, press ALT+T.Gratex=fratexC