Given the function: x(t) =8+4t, -2<1<2=0, otherwise(a) Sketch the odd-symmetric component xo(t) on the interval -5

Answered: Given the function: x(t) =8+4t, -2<1<2…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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2. Let f(t) = (u(t – 6) - u(t – 15))(t – 12)/6- (u(t – 15) – u(t – 24))(t – 24)/18, teR. %3D Plot f(t), f(-t), f(t+6), f(3t), f(t/2). 3. Find and sketch the derivative of f(t) = -(u(t + 4) – u(t))t + (u(t) – u(t – 2))t. 4. Find and sketch f(s)ds, t e R, where f(s) = u(s) – 2u(s – 1) + u(s – 3) + 8(s – 3) %3D and d is the Dirac impulse (delta) function. 5. Find and sketch the odd and even components of the following functions r(t) = sin(wot)u(t) y(t) = cos(wot) for t eR and real wo >0.
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Now consider the following continuous-time system with input and output specified sepa- rately, where u(t) is the unit step function: r(t) = u(t) + 2u(t- 2) y(t) = u(t)(1 – e-) + u(t – 2)(2 – 2e-(t-2) %3D (d) Is this system linear, and why?
i need the answer quickly
2) Consider the following integrals. Determine if they would evaluate to be zero on non zero. If zero, state the reason why. T a) cos(8w,t) cos(7w,t) dt -T/2 T/2 cos (8w,t)cos (8w,t)dt c) cos (8w,t)sin(8w,t)dt T/2 d) sin (6w,t) sin(8w,t)dt -T/2
Problem 2. (A06) For the Continuous-Time (CT) signals below, check if they are bounded or not. Notice that, on some occasions, the answer may depend on a signal's parameter(s). If they are bounded, identify a valid bound that is valid over the entire time axis. x1(t) A tetu(t), a € R x2(t) 4 (3+ 4j)eut, weR T3(t) = A sin(t?), A ER x4(t) A Ae-, A ER (2a) (2b) (2c) (2d) 05(t) A r(t + 1) – 2r(t) + r(t – 1) (2e) x6(t) = te-at 8(t – to), a, to eR (2f) where r is the unit ramp signal and d is the unit impulse signal. Hint: For x5, first express the signal is case-defined form using the table method discussed during lecture.
Please only do d) please. thanks

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Given the function: x(t) =8+4t, -2<1<2 =0, otherwise (a) Sketch the odd-symmetric component xo(t) on the interval -5