Question: Question 2C a. 2. Use Theorem 3.9 or Algorithm 3.3 to construct an approximating polynomial for the following data. + f(x) f'(x) b. x f

 Question 2C a. 2. Use Theorem 3.9 or Algorithm 3.3 to

Question 2C

a. 2. Use Theorem 3.9 or Algorithm 3.3 to construct an approximating polynomial for the following data. + f(x) f'(x) b. x f (x) f'(x) 0 1.00000 2.00000 -0.25 1.33203 0.437500 0.5 2.71828 5.43656 0.25 0.800781 -0.625000 f (x) f'(x) d. f(x) f'(x) -0.29004996 -2.8019975 -1 0.86199480 0.15536240 0.2 -0.56079734 -2.6159201 -0.5 0.95802009 0.23269654 0.3 -0.81401972 -2.9734038 0 1.0986123 0.33333333 0.5 1.2943767 0.45186776 . X 0.1

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