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3. Let f(x) = T - x, 05x5T. a. Compute FSS f, FCS f, and sketch their graphs on the interval [-47, 47]. 2 b.

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3. Let f(x) = T - x, 05x5T. a. Compute FSS f, FCS f, and sketch their graphs on the interval [-47, 47]. 2 b. Use the FCS f to verify the formula, E TT (2n + 1)2 8 c. Use one of the results above to solve the fixed ends heat problem Ut = 2uxx, OKx 0 u(0, t) = 0, u(7, t) = 0 ux, 0 = 1 - X

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