MATH 256 Study Guide - Midterm Guide: Periodic Function, Fourier Series
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Include this exam sheet with your answer booklet! Circle what you think is the correct answer. Answer in full (i. e. give as many arguments, explanations and steps as you think is needed for a normal person to understand your logic). Find the path taken by the particle if it starts at the point (x(0), y(0), z(0)) = (0, 1, 0). L{f (t a)h(t a)} = e as f (s). L 1(cid:26) s + 4 (s2 + 4s + 13)(cid:27) For a periodic function f (x) with period 2l, the fourier series is. 1/s tn, n = 0, 1, 2, n!/sn+1 eat sin at. 1/(s a) a/(s2 + a2) cos at s/(s2 + a2) t sin at. 2as/(s2 + a2)2 t cos at (s2 a2)/(s2 + a2)2 y (t) s y(s) y(0) y (t) s2 y(s) y (0) sy(0) eatf (t)
