It is given that f(t) = 10t 2 over the interval -5 6 t 6 5

Chapter 16, Problem 16.15

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It is given that f(t) = 10t 2 over the interval -5 6 t 6 5 s a) Construct a periodic function that satisfies this between and s, has a period of 20 s, and has half-wave symmetry. b) Is the function even or odd? c) Does the function have quarter-wave symmetry? d) Derive the Fourier series for f(t) e) Write the Fourier series for f(t) if f(t) is shifted 5 s to the right.

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