Given f'(x) = f(x) + x², for x = 1:
a) Find the tangent line of the curve and an approximation of f(1.8)
b) Make a 2nd degree Taylor polynomial
a) Tangent line: y = 3x - 2, f(1.8) ≈ 2.42
b) f(x) ≈ x + 1/2x² + 1/3x³
c) Tangent line: y = 3x - 2, f(1.8) ≈ 2.73
d) f(x) ≈ x + x² + x³