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8. Consider the periodic signal x(t) = cos(2xt) + cos(2ft) a. Find the Fourier series coefficients for this signal. (4 points). b. If this signal

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8. Consider the periodic signal x(t) = cos(2xt) + cos(2ft) a. Find the Fourier series coefficients for this signal. (4 points). b. If this signal passes through a LTI system with the impulse response h(t)eu(t), particularly, would the output signal also be a periodic signal? If so, what would be the Fourier coefficients of the output signal ? (4 points). c. Give the mathematical expression for the output signal y(t). (2 points)

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