Question: 50. f(x) = 2x + x sin(40x) on [0, 1]. Take and xi =j, j = 0, 1, 1n. Using monomial interpolation on(x) = Xn

50. f(x) = 2x + x sin(40x) on [0, 1]. Take

50. f(x) = 2x + x sin(40x) on [0, 1]. Take and xi =j, j = 0, 1, 1n. Using monomial interpolation on(x) = Xn i=0 cix for this data for n = 5, 10, 15,-_ Plot n Vs cond(A), maxi ci and the error max i f(xi) pn(xi)|. What do you observe about the error with increasing n? You may use any natural norm. Using MATLAB 50. f(x) = 2x + x sin(40x) on [0, 1]. Take and xi =j, j = 0, 1, 1n. Using monomial interpolation on(x) = Xn i=0 cix for this data for n = 5, 10, 15,-_ Plot n Vs cond(A), maxi ci and the error max i f(xi) pn(xi)|. What do you observe about the error with increasing n? You may use any natural norm. Using MATLAB

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