Question 1. The function f(t) is defined as follows f(t)=-4-2t+t²,0 < t < 5. Define f (t), an even periodic extension of f(t) and hence select the name of the appropriate Fourier half-range series representation of f(t). The Fourier representation of f(t) is called: the half-range sine series Enter the following values in the boxes below: · p = f (-4), • q = f (8), • T, the period of f (t). Enter p: Enter q: Enter T:
Question 1. The function f(t) is defined as follows f(t)=-4-2t+t²,0 < t < 5. Define f (t), an even periodic extension of f(t) and hence select the name of the appropriate Fourier half-range series representation of f(t). The Fourier representation of f(t) is called: the half-range sine series Enter the following values in the boxes below: · p = f (-4), • q = f (8), • T, the period of f (t). Enter p: Enter q: Enter T:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Question 1.
The function f(t) is defined as follows
f(t) = −4 − 2t +t²,0 < t ≤ 5.
Define f (t), an even periodic extension of f(t) and hence select the name of the appropriate Fourier half-range series representation of ƒ (t).
The Fourier representation of f (t) is called: the half-range sine series
Enter the following values in the boxes below:
• p = ƒ (-4),
= ƒ (8),
T, the period of f (t).
q=
Enter p:
Enter q:
Enter T:
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