
Fourier Series Expansions
Quiz
•
Mathematics
•
University
•
Practice Problem
•
Hard

rpoornima MATHEMATICS-HICET
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is not Dirichlet’s condition for the Fourier series expansion?
(x) is periodic, single valued, finite
f(x) has finite number of discontinuities in only one period
f(x) has finite number of maxima and minima
f(x) is a periodic, single valued, finite
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
At the point of discontinuity, sum of the series is equal to ___________
a) 1/2([f(x+0)–f(x−0)])
1/2([f(x+0)+f(x−0)])
1/4([f(x+0)–f(x−0)])
1/4([f(x+0)+f(x−0)])
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the Fourier series expansion of the function f(x) in the interval (c, c+2π)?
a0/2+∑∞n=1ancos(nx)+∑∞n=1bnsin(nx)
a0+∑∞n=0ancos(nx)+∑∞n=0bnsin(nx)
Eulers formula
None of the above
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find an if the function f(x) = x – x^3.
finite value
infinite value
zero
can’t be found
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find bn if the function f(x) = x^2.
finite value
infinite value
zero
can’t be found
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the function f(x) is even, then which of the following is zero?
an
bn
a0
nothing is zero
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the function f(x) is odd, then which of the only coefficient is present?
an
bn
a0
everything is present
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