Solved: Use Theorem 3.9 or Algorithm 3.3 to construct an approximating polynomial for

QUESTION:

Use Theorem 3.9 or Algorithm 3.3 to construct an approximating polynomial for the following data. a. x f (x) f (x) 0 1.00000 2.00000 0.5 2.71828 5.43656 b. x f (x) f (x) 0.25 1.33203 0.437500 0.25 0.800781 0.625000 c. x f (x) f (x) 0.1 0.29004996 2.8019975 0.2 0.56079734 2.6159201 0.3 0.81401972 2.4533949 d. x f (x) f (x) 1 0.86199480 0.15536240 0.5 0.95802009 0.23269654 0 1.0986123 0.33333333 0.5 1.2943767 0.45186776