Find the value of the real number 𝑎0 of the Fourier series if f(x) = 𝑥2 for 0 ≤ x ≤ 2𝜋.Question 1Select one:-8𝜋23-4𝜋234𝜋238𝜋23
Question
Solution 1
The Fourier series of a function f(x) is given by:
f(x) = a0/2 + Σ [an cos(nx) + bn sin(nx)]
where the coefficients a0, an, and bn are given by:
a0 = (1/π) ∫ from 0 to 2π f(x) dx an = (1/π) ∫ from 0 to 2π f(x) cos(nx) dx bn = (1/π) ∫ from 0 to 2π f(x) sin(nx) dx
In this case, f(x) = x^2 and we w Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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