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(Numerical Analysis) Determine the trigonometric interpolating polynomial of degree 4 for f(x) = x(pi - x) on the interval [-pi, pi] using: Direct...

(Numerical Analysis) Determine the trigonometric interpolating polynomial of degree 4 for f(x) = x(pi - x) on the interval [-pi, pi]

using:

a. Direct calculation; b. The Fast Fourier Transform Algorithm.

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