Question: MatLab Problem. Please include MatLab code. Problem 6. Let l(x) = (x xo)(x x1)... (x - xn). Use three figures to plot l with N

MatLab Problem. Please include MatLab code.

MatLab Problem. Please include MatLab code. Problem 6. Let l(x) = (x

Problem 6. Let l(x) = (x xo)(x x1)... (x - xn). Use three figures to plot l with N = 10 for (a) equispaced nodes on (-1,1]; (b) Chebyshev nodes of the first kind; (c) Chebyshev nodes of the second kind. (d) In these three cases, use the Cauchy interpolation error formula to estimate the error in the interpolation of f(x) = cos(3x) at these 11 points. Compare the estimates with the actual error. Problem 6. Let l(x) = (x xo)(x x1)... (x - xn). Use three figures to plot l with N = 10 for (a) equispaced nodes on (-1,1]; (b) Chebyshev nodes of the first kind; (c) Chebyshev nodes of the second kind. (d) In these three cases, use the Cauchy interpolation error formula to estimate the error in the interpolation of f(x) = cos(3x) at these 11 points. Compare the estimates with the actual error

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