Mathematical Methods Quiz
Authored by L. N. Varma, P.
Mathematics
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47 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The functionf(x) =e^x is
even
odd
both even and odd
neither even nor odd
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The Fourier series of an odd function, in the interval (−π,π), contains only
sine terms
cos terms
odd terms
even terms
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The Fourier series of a real periodic function, in the interval (−π,π), has only
P: cosine terms if the function is even
Q: sine terms if the function is even
R: cosine terms if the function is odd
S: sine terms if the function is even
Which of the above statements are true?
P and S
P and R
Q and S
Q and R
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The Fourier coefficienta_0 of a functionf(x) in the interval (0,2π) is given by
1/π ∫ from -π to π f(x)dx
1/π ∫ from 0 to 2π f(x)dx
1/π ∫ from 0 to 2π f(x) sin(nx) dx
1/π ∫ from 0 to 2π f(x) cos(nx) dx
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The Fourier coefficienta_n if a functionf(x) in the interval (0,2π) is
1/π ∫ from 0 to 2π f(x) sin(nx) dx
1/π ∫ from 0 to 2π f(x) cos(nx) dx
1/π ∫ from -π to π f(x) sin(nx) dx
1/π ∫ from -π to π f(x) cos(nx) dx
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The value of the Fourier coefficienta_0 if the functionf(x) =x in (0,2π) is
2π
-2π
π/2
2π/3
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The value of the Fourier coefficienta_0 if the functionf(x) =x in (−π,π) is
2π
-2π
π/2
0
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