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Matlab Problem. Consider the polynomial interpolation on the in terval -1, 1] with two types of f(x): (x) = cos(x), f2(x) = 1+12 1 +

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Matlab Problem. Consider the polynomial interpolation on the in terval -1, 1] with two types of f(x): (x) = cos(x), f2(x) = 1+12 1 + x2 Write a matlab script for computing the error of polynomial interpola- tions of f (x), and fill in the following table. The error of polynomial interpolation is defined as where r is a vector representing the uniform grid points on-1,1 Hint: Using the element-wise division ./ and the element-wise power fi(a) f2(x) Naive Err Lagrange Err Naive Err Lagrange Err 10 20 40

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