period - ≤ x ≤ π. The following f(x) is a periodic function of period T = 27, defined over the 0 when ≤ x ≤0 -x when 0 < x < f(x) = {!_ Express f(x) as a Fourier series expansion. 7 of period T = 2π.

Q: 2) Find Fourier series of the functions in the following graphs: a) b) 0. c) d)

A: Solution a: Given graph is Function of the graph is f(x)=0,     -π&lt;x&lt;01,         0≤x≤π Let…

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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A: The objective is to briefly explain history of Marshall-Olkin transformation.

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A: To write the Fourier series of the given function

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A:

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A: We have to solve the given problem.

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A: Hi! You have posted multiple subparts. As per the norm, we are answering the first three subparts.…

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Q: (Sigma notation) Use your technology utility to compute the linear combination 25 j=1

A: Solution:Given    v=∑cjvjj=125To compute the linear Combination:

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A: Given : If a trigonometric series converges uniformly…

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A: To write the Taylor series expansion for  h(x) = 1/x centred at x=2

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A: This is a question of Fourier transform. series.

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A: We need to use a known series to write the given function as a Taylor series.

Q: f(2) =: 1-z

A: we have given function f(z)=z21-z4we know that the expanssion of (1-z)-1=1+z+z2+z3+...we may re…

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A: We can solve the integration as below.

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A: In this problem, we have to calculate the Fourier series expansion of the function,   iswhere

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A: We have to  find a formula for the integral of f(x) from 0 to 1The procedure is given below

Q: Find the Fourier series of the given function f (t) = {" if - 1<t< O if 0<t<1 where period T = 2.

A: