SOLVED: Solve the following problems:#1 Use Lagrange interpolation and Newton interpolation methods to find a cubic polynomial that interpolates the following data points: (-2, -3), (-1, 1), (0, 1), (1,-3). After applying each of these methods, convert the polynomial to the standard form P(x) = d0 a1x a2x^2 a3x^3 (if it is not already in this form).#2 Freelance.Solve any problem involving cubic spline interpolation having three splines i.e. S0, S1, and S3.Plot the splines properly by subst

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