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

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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Solve A3b
AL, Given the function f(2) 3-2z-a, express /(e) in the
(a) cartesian form f(2) u(x,y)+ (x, y).
(b) polar form f(3) =(r, 8)+iv(r, @).
%3D
(a) Determine whet her the function u = r-6.r²y2 + y+2.ry is harmon
%3D
(b) Find the inverse z-Transform of
22 + 4
422-82 +32
A3. Show that for an even function, the Fourier coefficients are:
2
(a) a, =
|f(t) cos-
rat
dt,
T = 1.2, .
(b) b, = 0,
r = 1.2.. ..
A 4. (a) Find the Fourier transform of the rectangular pulse function
S1, 14 <1
f(1) =
10, 1시> 1
(b) Show that u(1.r) =
-kt
cos ar, solves the equation
dr = (k2 - a*)u.
A5 (a) The iteration
Transcribed Image Text:AL, Given the function f(2) 3-2z-a, express /(e) in the (a) cartesian form f(2) u(x,y)+ (x, y). (b) polar form f(3) =(r, 8)+iv(r, @). %3D (a) Determine whet her the function u = r-6.r²y2 + y+2.ry is harmon %3D (b) Find the inverse z-Transform of 22 + 4 422-82 +32 A3. Show that for an even function, the Fourier coefficients are: 2 (a) a, = |f(t) cos- rat dt, T = 1.2, . (b) b, = 0, r = 1.2.. .. A 4. (a) Find the Fourier transform of the rectangular pulse function S1, 14 <1 f(1) = 10, 1시> 1 (b) Show that u(1.r) = -kt cos ar, solves the equation dr = (k2 - a*)u. A5 (a) The iteration
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