1. Find the energies of r(t) = u(t) – u(t – 2) and y(t) = u(t) – 2u(t – 1) + u(t – 2), for t e R, where u is the unit step function. %3D %3D 2. Let f(t) = (u(t – 6) – u(t – 15))(t – 12)/6 - (u(t – 15) – u(t – 24))(t – 24)/18, teR. 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. f(s)ds, t e R, where f(s) = u(s) – 2u(s - 1) + u(s - 3)+ 8(s – 3) ond & is the Direg inmpulse (delte) fungtion
1. Find the energies of r(t) = u(t) – u(t – 2) and y(t) = u(t) – 2u(t – 1) + u(t – 2), for t e R, where u is the unit step function. %3D %3D 2. Let f(t) = (u(t – 6) – u(t – 15))(t – 12)/6 - (u(t – 15) – u(t – 24))(t – 24)/18, teR. 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. f(s)ds, t e R, where f(s) = u(s) – 2u(s - 1) + u(s - 3)+ 8(s – 3) ond & is the Direg inmpulse (delte) fungtion
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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Please answer question 2 to 4. I don't need answer for question 1. Thanks!
Transcribed Image Text:1. Find the energies of r(t) = u(t) – u(t – 2) and y(t) = u(t) – 2u(t – 1) + u(t – 2), for t e R, where u
is the unit step function.
%3D
2. Let
f(t) = (u(t – 6) – u(t – 15))(t – 12)/6 – (u(t – 15) – u(t – 24))(t – 24)/18, teR.
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 f(s)ds, t e R, where
f(s) = u(s) – 2u(s - 1) + u(s - 3)+ 8(s – 3)
and ổ is the Dirac impulse (delta) function.
5. Find and sketch the odd and even components of the following functions
x(t) = sin(wot)u(t)
y(t) = cos(wot)
%3D
for t e R and real wo > 0.
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