Question

3 of the questions remain unanswered. Let $f(x) = \begin{cases} 0 & \text{for } 0 < x < 3 \\ (x-3) & \text{for } 3 < x < 7 \end{cases}$ (a) Compute the Fourier sine coefficients for $f(x)$. $\bullet b_k = \frac{(-8\pi k \cos(\pi k) - 14\sin(\frac{3\pi k}{7}) + 14\sin(\pi k))}{\pi^2 k^2}$ (b) Give values for the Fourier sine series $S(x) = \sum_{k=1}^{\infty} b_k \sin(\frac{k\pi x}{7})$ $\bullet S(-4) = \\ $\bullet S(7) = \\ $\bullet S(8) = \\

          3 of the questions remain unanswered.
Let $f(x) = \begin{cases} 0 & \text{for } 0 < x < 3 \\ (x-3) & \text{for } 3 < x < 7 \end{cases}$
(a) Compute the Fourier sine coefficients for $f(x)$.
$\bullet b_k = \frac{(-8\pi k \cos(\pi k) - 14\sin(\frac{3\pi k}{7}) + 14\sin(\pi k))}{\pi^2 k^2}$
(b) Give values for the Fourier sine series $S(x) = \sum_{k=1}^{\infty} b_k \sin(\frac{k\pi x}{7})$
$\bullet S(-4) = \\
$\bullet S(7) = \\
$\bullet S(8) = \\

$3 of the questions remain unanswered. Let $f(x) = \begin{cases} 0 & \text{for } 0 < x < 3 \\ (x-3) & \text{for } 3 < x < 7 \end{cases}$ (a) Compute the Fourier sine coefficients for $f(x)$. $\bullet bk = \frac{(-8\pi k \cos(\pi k) - 14\sin(\frac{3\pi k}{7}) + 14\sin(\pi k))}{\pi^2 k^2}$ (b) Give values for the Fourier sine series $S(x) = \sum{k=1}^{\infty} bk \sin(\frac{k\pi x}{7})$ $\bullet S(-4) = \\ $\bullet S(7) = \\ $\bullet S(8) = \\$

Added by Phillip M.

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