Find the Fourier series representation of the periodic function below f(x) = ax? - b if -n < x < T if a = 0.1 and b = 5.7. Then, evaluate the series (up to n = 5) at x = -2.83.

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A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

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A: We will answer only the first question as we don't answer multiple questions at a time. Please…

Q: B/ Find the Fourier series of the function f (X) = x +n within the range -n < x < n

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Q: flt) = {; -1 +1 -nst<0 0 <t< n

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Q: Find the Fourier series to represent a function of f(X)=x^3 in the interval of (0, c).

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A: To calculate the Fourier cosine series of below function. fx=1+x,0&lt;x&lt;π

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Q: Q3 A: Expand the following function into its Fourier series : - <ISO sint

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Q: 0, f(x) = { -T< x <0 0 <x <T

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Q: construct the Fourier series for the function f (x) = (T - x)2 for 0 < x < 2n ?

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A: "Since you have posted a question with multiple sub-parts, we will solve first  subpart for you. To…

Q: Q3 Find the half-range Fourier cosine series of f(x) = (1 - x)" in the interval (0, n).

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Q: (a) Find the Fourier series for the extended function. (b) Sketch the graph of f(x) as well as the…

A: Given: The function  a. fx=0  if  -2&lt;x&lt;01  if     0&lt;x&lt;2  b. fx=x+1   if  -1&lt;x&lt;01-x…