2) Solve the difference equation using z-transform yk+2 - 3 yk+1 + 2 yk = 0,with yo = 0, y, = 1. Explain the procedure in your words3) Find the following in the Fourier series expansion of the following functions:a. a, for f(x) = sin(x) defined over the interval (-7, T1).b. bn for f(x) = 3x defined over the interval (0,2).4) What do you mean by even and odd function? Give two examples and show by calculationthat those are even and odd.5) If F(s) is the complex Fourier transform of the function f (x), then prove that F{f(x – a)} =e-ias F(s).

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2) Solve the difference equation using z-transform yk+2-3 Yk+1 + 2yk = 0, with y₁ = 0, y₁ = 1. Explain the procedure in your words 3) Find the following in the Fourier series expansion of the following functions: a. ao for f(x) = sin(x) defined over the interval (-1, 1). b. bn for f(x) = 3x defined over the interval (0,2). 4) What do you mean by even and odd function? Give two examples and show by calculation that those are even and odd. 5) If F(s) is the complex Fourier transform of the function f(x), then prove that F{f(x-a)} = e-ias F (s).

2) Solve the difference equation using z-transform yk+2-3 Yk+1 + 2yk = 0, with y₁ = 0, y₁ = 1. Explain the procedure in your words 3) Find the following in the Fourier series expansion of the following functions: a. ao for f(x) = sin(x) defined over the interval (-1, 1). b. bn for f(x) = 3x defined over the interval (0,2). 4) What do you mean by even and odd function? Give two examples and show by calculation that those are even and odd. 5) If F(s) is the complex Fourier transform of the function f(x), then prove that F{f(x-a)} = e-ias F (s).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.1: Equations

Problem 76E

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