Study of Transform domain properties and its use            

The period of the signal x(t) = 10 sin 12 π t + 4 cos18 π t is ____________
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If G(f) represents the Fourier Transform of a signal g (t) which is real and odd symmetric in time, then G (f) is ____________
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If R1 is the region of convergence of x (n) and R2 is the region of convergence of y(n), then the region of convergence of x (n) convoluted y (n) is
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The system under consideration is an RC low-pass filter with R = 1 kΩ and C = 1 µF. Let H (f) denotes the frequency response of the RC, low-pass filter. Let f1 be the highest frequency, such that 0≤|f|≤f1, |H(f1)|H(0)≥0.95 Then f1 is ___________
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