9-31 Show that if -10 $= s= ["ºx MA PR x(t) dt 10 then E(s) = (1 (10-|T|) Rx (T) dr Find the mean and variance of s if E{x(t)} = 8, Rx(7) = 64 + 10e-²1²¹. + ITING n

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Determine whether or not each of the following signals is periodic. For periodic signals, determine their periods. a) x1[n] = E=-o{8[n – 3k] – 2 8[n – 1 – 3k]}. First plot the signal xı[n]. b) x2[n] = – x1[-n – 1]. First plot the signal x2[n]. c) x1(t) = et sin(2t) d) x2(t) = Even{sin(4tt) u(t)} . First plot the signal x2(t) %3D

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it says COSINE not sine  Is the signal x(t)=2+ sin 2 - 3 cosлt periodic? Can it be expressed using complex exponentials

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Q1 Signalsa) Is the following signal even or odd or neither? Justify your answer. If your answer isneither, find its even and odd components:x(t) = t ejtb) Find energy and power of the following signal: x(t) = 5 cos(wt)

1. – 4.) Sketch the positive root locus of the system shown below with the following choices of G(s). State the asymptote angles and their centroid. Determine the arrival and departure angles at any complex pole, complex zero, and repeated pole/zero. The frequencies of any imaginary axis crossings. The locations of any repeated roots (e.g. break-in or break-away points). ny your 1oui SKeto and thO Prayeu Σ K G(s)

The frequency(kHz)at whichvo​has maximum amplitude is most nearly:(               need only handwritten solution .otherwise downvote.)

Problem 1.4 (Complex Sinusoids) First, (a) sketch by hand the following signals against variable t: (i) x1(t) = Re 2e(-1+j2n)t (ii) x2(t) = Im 3 – e(l-j2n)t