Given the data points -1.2 0.3 1.1 -5.76 -5.61 -3.69 a) Find a quadratic polynomial (ar+bx+c)...

 

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Given the data points -1.2 0.3 1.1 -5.76 -5.61 -3.69 a) Find a quadratic polynomial (ar²+bx+c) interpolating these point via: i) setting a linear system ii) Lagrange Interpolation method. I y b) Construct a program implementing the Lagrange Interpolation method for part a.ii with Python c) Determine y at r = 0. Given the data points -1.2 0.3 1.1 -5.76 -5.61 -3.69 a) Find a quadratic polynomial (ar²+bx+c) interpolating these point via: i) setting a linear system ii) Lagrange Interpolation method. I y b) Construct a program implementing the Lagrange Interpolation method for part a.ii with Python c) Determine y at r = 0.