Question: Use Theorem 3.9 or Algorithm 3.3 to construct an approximating polynomial for the following data. a. b. c. d. x f(x) 8.3 17.56492 3.116256 8.6

Use Theorem 3.9 or Algorithm 3.3 to construct an approximating polynomial for the following data.
a.

x f(x) 8.3 17.56492 3.116256 8.6 18.50515 3.151762 f'(x) f(x) f'(x) 0.8 0.22363362 2.1691753 1.0 0.65809197 2.0466965 f(x) f(x) -0.5 |0.0247500 | 0.7510000 -0.25 0.3349375 2.1890000 110 1 0000 | 4.0020000 f(x) f (x) 0.1 1-0.62049958 | 3.58502082 0.2 |0.28398668 | 3.14033271 0.3 0.00660095 2.66668043 04 0.24842440 2.16529366

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