Draw graphs of f t and of the periodic functions


The function f (t) = 1 - t2 is to be represented by a Fourier series expansion over the finite interval 0 t 1. Obtain a suitable

(a) full-range series expansion,

(b) half-range sine series expansion,

(c) half-range cosine series expansion.

Draw graphs of f (t) and of the periodic functions represented by each of the three series for -4 t 4

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Mechanical Engineering: Draw graphs of f t and of the periodic functions
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