A3. Show that for an even function, the Fourier coefficients are: (a) a, = | S(1) cos- dt, r = 1, 2, . %3D (b) b, = 0, r = 1.2, %3D ...

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ISBN:9780133923605
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Publisher:Robert L. Boylestad
Chapter1: Introduction
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Solve A3a
AL Given the function f(2) 3-22-2, express /(a
(a) cartesian form f(2) u(r, y)+ iv(x, y).
(b) polar form f(3) 3 (r, 8) + iv(r, 0).
1.
(a) Determine whether the function u = r-6r?y² + y' +2ry is hars
%3D
A2
(b) Find the inverse z-Transform of
22 +4
422-8z +32
A3. Show that for an even function, the Fourier coefficients are:
re) cos dt,
(а) a, 3D
r = 1. 2,. .
(b) b, 0,
r = 1. 2,..
A4. (a) Find the Fourier transform of the rectangular pulse function
S1, 4 < 1
f(t) =
%3D
10, 14>1
(b) Show that u(1.) = cos a.r, solves the equation
-kt
Pu
(-a")u.
AS (a) The iteration
Transcribed Image Text:AL Given the function f(2) 3-22-2, express /(a (a) cartesian form f(2) u(r, y)+ iv(x, y). (b) polar form f(3) 3 (r, 8) + iv(r, 0). 1. (a) Determine whether the function u = r-6r?y² + y' +2ry is hars %3D A2 (b) Find the inverse z-Transform of 22 +4 422-8z +32 A3. Show that for an even function, the Fourier coefficients are: re) cos dt, (а) a, 3D r = 1. 2,. . (b) b, 0, r = 1. 2,.. A4. (a) Find the Fourier transform of the rectangular pulse function S1, 4 < 1 f(t) = %3D 10, 14>1 (b) Show that u(1.) = cos a.r, solves the equation -kt Pu (-a")u. AS (a) The iteration
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