Expression 10: "f" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis equals "a" "x" squared plus "b" "x" left brace, 0 less than "x" less than "t" Subscript, 1 , Baseline , right bracef1x=ax2+bx0<x<t1
10
Expression 11: "f" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis equals "V" Subscript, "m" "a" "x" , Baseline left brace, "t" Subscript, 1 , Baseline less than "x" less than "t" Subscript, 2 , Baseline , right bracef2x=Vmaxt1<x<t2
11
Expression 12: "f" Subscript, 3 , Baseline left parenthesis, "x" , right parenthesis equals "V" Subscript, "m" "a" "x" , Baseline plus "d" left parenthesis, "x" minus "t" Subscript, 2 , Baseline , right parenthesis left brace, "t" Subscript, 2 , Baseline less than "x" less than "t" Subscript, 3 , Baseline , right bracef3x=Vmax+dx−t2t2<x<t3
12
Expression 13: "f" Subscript, 3 "n" , Baseline left parenthesis, "x" , right parenthesis equals "V" Subscript, "m" "a" "x" , Baseline plus "d" left parenthesis, "x" minus "c" , right parenthesis left brace, "t" Subscript, "i" "n" , Baseline less than "x" less than "t" Subscript, "e" "n" "d" , Baseline , right bracef3nx=Vmax+dx−ctin<x<tend
13
Expression 14: "c" equals 270.1 8 2c=270.182
negative 10−10
270.1 8 2270.182
14
Expression 15: "t" Subscript, "i" "n" , Baseline equals StartFraction, negative left parenthesis, "b" minus "d" , right parenthesis plus StartRoot, left parenthesis, "b" minus "d" , right parenthesis squared minus 4 "a" left parenthesis, "c" "d" minus "V" Subscript, "m" "a" "x" , Baseline , right parenthesis , EndRoot Over 2 "a" , EndFractiontin=−b−d+b−d2−4acd−Vmax2a
equals=
286.9 5 4 6 1 5 9 3 7286.954615937
15
Expression 16: "t" Subscript, "e" "n" "d" , Baseline equals StartFraction, "V" Subscript, "m" "a" "x" , Baseline minus "c" "d" Over negative "d" , EndFractiontend=Vmax−cd−d
equals=
306.8 4 8 6 6 6 6 6 7306.848666667
16
Expression 17: 1 third "a" "t" cubed plus 1 half left parenthesis, "b" minus "d" , right parenthesis "t" squared minus 1 half "d" "t" squared plus "d" "t" Subscript, "i" "n" , Baseline "t" Subscript, "e" "n" "d" , Baseline minus "d" Subscript, "t" "o" "t" , Baseline13at3in+12b−dt2in−12dt2end+dtintend−dtot
Expression 18: Start integral from 0 to "t" Subscript, "i" "n" , Baseline , end integral, "f" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis "d" "x" plus Start integral from "t" Subscript, "i" "n" , Baseline to "t" Subscript, "e" "n" "d" , Baseline , end integral, "f" Subscript, 3 "n" , Baseline left parenthesis, "x" , right parenthesis "d" "x"∫tin0f1xdx+∫tendtinf3nxdx
undefined
18
Expression 19: Start integral from 0 to "t" Subscript, 1 , Baseline , end integral, "f" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis "d" "x" plus Start integral from "t" Subscript, 2 , Baseline to "t" Subscript, 3 , Baseline , end integral, "f" Subscript, 3 , Baseline left parenthesis, "x" , right parenthesis "d" "x"∫t10f1xdx+∫t3t2f3xdx
