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Determine the discrete least squares trigonometric polynomial S 3 (x), using m = 4 for f(x) = e x cos 2x on the interval [-]. Compute the error E(S 3). Section 8.6 Fast Fourier Transforms 2) Determine...

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Determine the discrete least squares trigonometric polynomial S3(x), using m = 4 for
f(x) = excos 2x on the interval [-]. Compute the error E(S3).
Section 8.6 Fast Fourier Transforms
2)
Determine the trigonometric interpolating polynomial of degree 4 for f(x) = x(on the interval [-] using:
  1. Direct calculation;
  2. B. The Fast Fourier Transform Algorithm.

3)
Use the Fast Fourier Transforms Algorithm to compute the trigonometric interpolating polynomial of degree 4 on [-] for the following functions.
  1. f(x) = (x- d. f(x) = x cos x2 + ex cos ex

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Section 8.5 Trigonometric Polynomial Approximation 9) Determine the discrete least squares trigonometric polynomial S3(x), using m = 4 for f(x) = excos 2x on the interval [-p, p]. Compute the error E(S3). Section 8.6 Fast Fourier Transforms 2) Determine the trigonometric interpolating polynomial of degree 4 for f(x) = x(p-x) on the interval [-p, p] using: Direct calculation; B. The Fast Fourier Transform Algorithm. 3) Use the Fast Fourier Transforms Algorithm to compute the trigonometric interpolating polynomial of degree 4 on [-p, p] for the following functions. f(x) = p (x- p) d. f(x) = x cos x2 + ex cos ex

Answered Same Day Dec 23, 2021

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Robert answered on Dec 23 2021
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