The data in Exercise 1 were generated using the following functions. Use the polynomials constructed in Exercise 1 for the given value of x to approximate f (x), and calculate the absolute error.
a. f ( x ) = x ln x; approximate f (8.4).
b. f ( x ) = sin(ex − 2); approximate f (0.9).
c. f ( x ) = x3 + 4.001x2 + 4.002x + 1.101; approximate f (−1/3).
d. f ( x ) = x cos x − 2x2 + 3x − 1; approximate f (0.25).
Reference: Exercise 1
Use Theorem 3.9 or Algorithm 3.3 to construct an approximating polynomial for the following data.rr
Reference: Theorem 3.9
Reference: Algorithm 3.3
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