1. The coefficient a, of the Fourier series of the periodic function (2t 0

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. The coefficient a, of the Fourier series of the periodic function
(2t 0<t<2
f(t)=
O 2<t<6
f(t + 6) = f(t)
is equal to:
2. The periodic function f(t) (with main window between red lines) given in the diagram below is: (e.g.
odd, even, neither, etc)
f(t)
-3
3
USE THE FOLLOWING INFORMATION TO ANSWER QUESTIONS 3 AND 4 ONLY:
The equation of the main window of a periodic function f(t) is given below:
t+4t+4 -2<t<-1
f(t)={"
f(t+2)=f(t)
t+2
-1<t<0'
3. Two cycles of f(t) (to the left and right of the y-axis) are represented by the graph:
4. What is the equation of f(t) defining the window to the right of the y-axis?
USE THE FOLLOWING INFORMATION TO ANSWER QUESTIONS 5 AND 6 ONLY:
The equation of a periodic function f(t) is given below:
t +4t+4 -2<t<-1
f(t)=-
f(t+4)=f(t)
t+2
-1<t<0'
5. For the function to be an even function, the most economical way to calculate the Fourier Series
expansion is:
6. The graph of a periodic function f(t) if it is known to be an ODD function is represented by:
Transcribed Image Text:1. The coefficient a, of the Fourier series of the periodic function (2t 0<t<2 f(t)= O 2<t<6 f(t + 6) = f(t) is equal to: 2. The periodic function f(t) (with main window between red lines) given in the diagram below is: (e.g. odd, even, neither, etc) f(t) -3 3 USE THE FOLLOWING INFORMATION TO ANSWER QUESTIONS 3 AND 4 ONLY: The equation of the main window of a periodic function f(t) is given below: t+4t+4 -2<t<-1 f(t)={" f(t+2)=f(t) t+2 -1<t<0' 3. Two cycles of f(t) (to the left and right of the y-axis) are represented by the graph: 4. What is the equation of f(t) defining the window to the right of the y-axis? USE THE FOLLOWING INFORMATION TO ANSWER QUESTIONS 5 AND 6 ONLY: The equation of a periodic function f(t) is given below: t +4t+4 -2<t<-1 f(t)=- f(t+4)=f(t) t+2 -1<t<0' 5. For the function to be an even function, the most economical way to calculate the Fourier Series expansion is: 6. The graph of a periodic function f(t) if it is known to be an ODD function is represented by:
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