A measurement data is given below. [1 3 4 7]; [-4 1 -2 5]; x i...

 

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A measurement data is given below. [1 3 4 7]; [-4 1 -2 5]; x i = y_i i) Find third degree interpolation polynomial by Newton's divided difference method. [1,7]. ii) Calculate exact value of integral of the polynomial function in i) between x = iii) Calculate integral of the function in i) by Trapezoidal rule. A measurement data is given below. [1 3 4 7]; [-4 1 -2 5]; x i = y_i i) Find third degree interpolation polynomial by Newton's divided difference method. [1,7]. ii) Calculate exact value of integral of the polynomial function in i) between x = iii) Calculate integral of the function in i) by Trapezoidal rule.