Fourier Series Coefficients of px⁴ + qx⁵ | Even & Odd Functions | GATE CE 2023

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Civil Engineering > GATE 2023 SET-1 > Fourier Series

The following function is defined over the interval [-L, L]:
f(x) = px⁴ + qx⁵
. If it is expressed as a Fourier series,

, which options amongst the following are true?

A

a_n, n = 1, 2, · · ·, ∞ depend on p

B

a_n, n = 1, 2, · · ·, ∞ depend on q

C

b_n, n = 1, 2, · · ·, ∞ depend on p

D

b_n, n = 1, 2, · · ·, ∞ depend on q

Correct : b, c

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Related Topics

Fourier series Fourier coefficients even odd functions GATE Civil Engineering 2023 Engineering Mathematics a_n b_n dependence GATE 2023 Set-1 Q25 px^4 qx^5 Fourier

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