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1. Find the Laplace Transforms of the following waveforms/functions: a. b. 1 2 T C. α b √2t, 0 ≤t ≤ 3 f(t) = {2t, t≥ 3 d. 20e-500(t-10). u(t - 10) e. t². e-at f. eat+b g. t² + at + b h. cos(wt)

1. Find the Laplace Transforms of the following waveforms/functions: a. b. 1 2 T C. α b √2t, 0 ≤t ≤ 3 f(t) = {2t, t≥ 3 d. 20e-500(t-10). u(t - 10) e. t². e-at f. eat+b g. t² + at + b h. cos(wt)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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can you answer the following with full workings and steps . thank you. Answers: a)L(f(t)) = (1-e^-s)^2 / s b) L(f(t) = k(e^-as - e^-bs) / s c) L(f(t)) = 2/s^2 (1-e^-3s) d) L(f(t)) = e^-10s * 20/(s + 500) e) L(f(t)) = 2/(s + 9)^3 f) L(f(t)) = e^b /(s-a) g) L(f(t)) = s/s^3 + a/s^2 + b/s h) L(f(t)) = (s cos θ - w sin θ)/(s^2 + w^2)
1. Find the Laplace Transforms of the following waveforms/functions: a. b. 1 2 T C. α b √2t, 0 ≤t ≤ 3 f(t) = {2t, t≥ 3 d. 20e-500(t-10). u(t - 10) e. t². e-at f. eat+b g. t² + at + b h. cos(wt)
Transcribed Image Text:1. Find the Laplace Transforms of the following waveforms/functions: a. b. 1 2 T C. α b √2t, 0 ≤t ≤ 3 f(t) = {2t, t≥ 3 d. 20e-500(t-10). u(t - 10) e. t². e-at f. eat+b g. t² + at + b h. cos(wt)
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