Kontrolle

t

Flächen

I

Füllmenge V(t)

Zuflussrate z(t)

z1(t) = If[0 ≤ t < 4, 40, If[4 ≤ t < 7, 20, If[7 ≤ t < 10, 60, If[10 ≤ t ≤ 10, 60]]]]
z2(t) = If[0 ≤ t < 4, 50, If[4 ≤ t < 6, 0, If[6 ≤ t < 10, -50, If[10 ≤ t ≤ 10, -50]]]]
z3(t) = If[0 ≤ t < 3, (20 * t), If[3 ≤ t < 8, (-20 * (t - 3)) + 60, If[8 ≤ t < 10, -40, If[10 ≤ t ≤ 10, -40]]]]
A = Point(yAxis)
B = (1, 40)
C = (2, 80)
D = (3, 120)
V1(t) = If[0 ≤ t < 4, (40 * t), If[4 ≤ t < 7, (60 / 3 * (t - 4)) + 160, If[7 ≤ t ≤ 10, (60 * (t - 7)) + 220]]]
d = true
V2(t) = If[0 ≤ t < 4, (50 * t), If[4 ≤ t < 6, 200, If[6 ≤ t ≤ 10, (-50 * (t - 6)) + 200]]]
V3(t) = If[0 ≤ t < 3, (10 * t^(2)), If[3 ≤ t < 8, (-10 * (t - 6)^(2)) + 180, If[8 ≤ t ≤ 10, (-40 * (t - 8)) + 140]]]
s = Segment((0 | 0), (10 | 0))
T = Point(s)
E = (4, 160)
F = (5, 180)
G = (6, 200)
H = (7, 220)
I = (8, 280)
J = (9, 340)
K = (10, 400)
a = true
V: (x(T) | V1(x(T)))
j = Integral(z1, 0, x(T))