f

f'

f''

f'

f''

f'''

b = 0.8 (slider from -2 to 2)
Q: (0, b)
a = -1.1 (slider from -2 to 2)
R: (0, 0)
c = 0.8 (slider from -2 to 2, step 0.1)
h2(x) = (a * x)
K = Circle(R, 0.5)
A, B = Intersect(h2, K)
h1(x) = (a / 2 * x^(2)) + b
h0(x) = (a / 6 * x^(3)) + (b / 2 * x) + c
S: (0, a)
f0(x) = If[-1 < x < 1, h0(x)]
f1(x) = If[-1 < x < 1, h1(x)]
f2(x) = If[-1 < x < 1, h2(x)]
T: (0, c)