Question: Numerical Analysis 2. Does the following data correspond to the function values of a cubic polynomial? Explain. a: 21012 3 y 1 '4 l11l16l13 4

Numerical Analysis

2. Does the following data correspond to the function values of a cubic polynomial? Explain. a: 2\\1\\0\\1\\2 3 y 1 '4 l11l16l13 4 3. Let pn be the interpolating polynomial of degree at most n for sin(a:) over the interval [0, 1] with node points 33.4 J n wherej20,...,n. Give an upper bound on the error in approximating sin(:v) by pn over the interval [0, 1]. How large must n be to ensure |sin(;c) pn(:c)|

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