Chapter 5, Problem 5.6P

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Compute the Laplace transform of the following time domain function using only L.T. properties: f(t)=(t-3)eu(t − 2)

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Not: I need also pictures cct diagram and result Question: I need a MATLAB/Simulink model for a Boost Converter used to charge a battery, powered by a PV solar panel. The model should include: 1. A PV solar panel as the input power source. 2. A Boost Converter circuit for voltage regulation. 3. A battery charging system. 4. Simulation results showing voltage, current, and efficiency of the system. Important: Please provide: 1. The Simulink file of the model. 2. Clear screenshots showing the circuit connections in MATLAB/Simulink. 3. Screenshots of the simulation results (voltage, current, efficiency, etc.).

A Butterworth low-pass filter has the following specification:    max = 0.5 dB,            min =30dB     p = 750rad/s    and     s = 1750rad/si) Determine the TF for Butterworth LP filterii) Q of the polesiii) Determine the half-power frequency 0iv) Determine the actual attenuation at the edge of the pass-band and the edge of the stop-band, (p) and (s).

1- Find the Laplace transform and the corresponding ROC of the following signals. a) x(t) = [et + et cos(3t)]u(t) b)x(t) = e-alte-atu(t) + eatu(-t), consider a>0. c) x(t)=8(t) +8(t-1)+8(t−2) d) x(t) = u(-1)-u(1) e) x(t) = e-³t sin(2t)u(t)dr f)x(t) =[r³ +sin(2t)]u(t)dt g)x(t)=t2e2 cos(5t) u(t - 1)

The transfer function of causal LTI system is H(s) = s+1 (s+1)(s+3) Determine the response y(t) when the input x(t) = elt, for the following region of convergence :) Re[s]> -3 ii) Re[s]Re[s]> -3

Consider the signal y(t) = x₁(t-2) x2(-t + 3) where x₁(t) = e−2tu(t) and x2(t) = eu(t). Determine the Laplace transform of y(t) using the properties. Also find the ROC.