Use Eq. (3.10) or Algorithm 3.2 to construct interpolating polynomials of degree one, two, and three for

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Use Eq. (3.10) or Algorithm 3.2 to construct interpolating polynomials of degree one, two, and three for the following data. Approximate the specified value using each of the polynomials.
a. f (0.43) if f (0) = 1, f (0.25) = 1.64872, f (0.5) = 2.71828, f (0.75) = 4.48169
b. f (0) if f (−0.5) = 1.93750, f (−0.25) = 1.33203, f (0.25) = 0.800781, f (0.5) = 0.687500
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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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