B_{\,1,2}(t)

B_{\,0,3}(t)

B_{\,1,3}(t)

B_{\,0,2}(t)

0

1

1

t

t

t

t

B = (3, 0)
C = (1.99, 0.49480968858131497)
D = Point(yAxis)
E = Point(xAxis)
F = (4, -1)
h = Segment(D, E)
G = Point(xAxis)
J = Point(xAxis)
L = Point(xAxis)
M = Point(yAxis)
N = Point(xAxis)
n = Segment(M, N)
O = (5, -1)
p = Segment(J, O)
q(x) = If[x < 0 ∨ 1 < x, 0, x^(2) / 2]
r(x) = If[x < 1 ∨ 2 < x, 0, (-(x - 3 / 2)^(2)) + 3 / 4]
s(x) = If[x < 2 ∨ 3 < x, 0, (x - 3)^(2) / 2]
A: (1, r(1))
q1(x) = q(x - 1)
f(x) = r(x - 1)
g(x) = s(x - 1)
A_1: (1, 0)
i = Segment(A_1, F)
A_2: (3, g(3))
t_1(x) = If[x < 0 ∨ 1 < x, 0, x^(3) / 6]
f_1(x) = If[x < 1 ∨ 2 < x, 0, ((-x^(3))) / 2 + (2 * x^(2)) - (2 * x) + 2 / 3]
g_1(x) = If[x < 2 ∨ 3 < x, 0, x^(3) / 2 - (4 * x^(2)) + (10 * x) - 22 / 3]
h_1(x) = If[x < 3 ∨ 4 < x, 0, (-1 / 6 * (x - 4)^(3))]
t_2(x) = t_1(x - 1)
p_1(x) = f_1(x - 1)
q_1(x) = g_1(x - 1)
r_1(x) = h_1(x - 1)
u = Vector((0, -1), (0, 0))
v = Vector((0, -1), (4.5, -1))
w = Vector((0, -1), (5.5, -1))
H: (1, t_1(1))
K: (2, g_1(2))
P: (3, q_1(3))
Q: (2, t_1(1))
R: (3, t_1(1))
S: (4, t_1(1))