1 3. Interpolate f(x) on [-1,1] at n = 3,5,..., 21 points by 1+25x polynomials, plot...

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1 3. Interpolate f(x) on [-1,1] at n = 3,5,..., 21 points by 1+25x² polynomials, plot the polynomials and f(r) on the same graph, and mark the interpolating points. = a) Use equally distributed points. b) Use the Chebyshev points xj = cos 1¹π, j = 1,2,..., n. 2j-1 2n c) Use the Chebyshev points (2nd type) rj = cos-, j = 0, 1, 2,..., n. n Note: You may use the provided Matlab code or write your own code. 1 3. Interpolate f(x) on [-1,1] at n = 3,5,..., 21 points by 1+25x² polynomials, plot the polynomials and f(r) on the same graph, and mark the interpolating points. = a) Use equally distributed points. b) Use the Chebyshev points xj = cos 1¹π, j = 1,2,..., n. 2j-1 2n c) Use the Chebyshev points (2nd type) rj = cos-, j = 0, 1, 2,..., n. n Note: You may use the provided Matlab code or write your own code.

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Sure here is the Matlab code to interpolate fx x11 at n 3 5 21 points by polynomials plot the polyno... View the full answer