3. For each of the following signals, determine mathematically whether the signal is even, odd, or neither. Sketch the waveform to verify your results. 1) x(t) = −4t, 2) x(t)=5cos3t, 3) x(t) = u(t), 4) x(t) = sin(3t). 4. Find f (at – b)sin² (t − 4)dt, where a > 0.

Sub : continuous time and discrete time signals

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6. For this waveform, find I(s). A) I(s) = 10/s B) I(s) = C) I(s) = (10/s) [e-²s - e-³s] D) I(s) = 10 [es- e-³⁰] 10/(s-2) - 10/(-3) i (H) (V) 10. 3 5 t(sec)

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For a perlodic waveform h(t), if its complex Fourler coefficients are 5T 5T 5T 2n2n /- 4nm when n is odd ST when n is even and not zero 4nn please derive the first five non-zero terms of the real Fourler serles for h(t). 5-

A certain RLC series circuit has an AC signal applied to it. Under which of the following circumstances will the total impedance of this circuit be lowest?   a) When the frequency of the AC signal is arbitrarily large b) When the frequency of the AC signal is approximately zero c) When the frequency of the AC signal is such that the capacitive reactance matches the inductive reactance

Can the expert convert the branches (a, b, c) into the given standard form correctly, along with an explanation of the modification steps? 1- Spectrum of the sinusoidal signals: f(t) = A cos(2fot + 0) - (a) f(t) = −7 sin(3ët) − 5cos (6πt + 90º) (b) f (t) = -4 sin(106πt) + 8cos (107πt + 170º) (c) f(t)==0(-0.5)" cos[n(wot + 10º)]